SRNTempraturePressionHypothses de travail possiblesCKPaatmTransfert de chaleurTemprature constante une surfaceStandard (S)15288.151013251Surfaces adiabatiquesRfrence (R )25298.151013251Coefficient de convection uniformeNormale (N)0273.151013251UnidimensionnelBidimensionnelCode de couleur pour tout le documentRgime permanentValeurs calcules ou dfinies de faon permanentecoulement en rgime permanentValeurs changer pour le nouveau calcul fairecoulement laminaireLimite de validit de certains calculscoulement turbulentRsultats recherchsFluide incompressibleValeurs faire varier itrativement pour trouver la solutionFluide NewtonienGaz parfaitProprits du fluide constantesProprits du matriau constantesMatriau isotropeAssocier les ??? chaque variable avec une case chacunePas de changement de phase dans le matriauPas de travail effectu sur le fluidePas de gnration interne de chaleurGnration interne de chaleur uniformeNglige les pertes de chaleurNglige la conduction dans une directionNglige la convectionNglige le rayonnementNglige les variations d'nergie cintiqueNglige les variations d'nergie potentielleNglige la rsistance de contactNglige la rsistance thermiqueNglige le gradient de temprature dans le matriauNglige le gradient de pression dans l'coulementNglige l'absorptionNglige les dissipations visqueusesCorps grisCorps noirMilieu entre les surface non-participatif dans le rayonnementSurfaces mettent de faon diffuseSurfaces rflchissent de faon diffusechanges thermiques d au rayonnement entre un trs petite surface par rapport l'enceinte

InterpolationInterpolation linaire doubleSimpleProprit aProprit bProprit ca1600b1350c130bx388cx32.888b2400c233.8az700cx16.6255532a2800b3350c30.33488by388cy0.3631064b4400c40.37202

Ref[1]http://users.wpi.edu/~ierardi/FireTools/air_prop.html[2]R02_Proprietes_Eau.pdf[3]ALEXANDROU, Andreas. "Principles of Fluid Mechanics", Prentice-Hall, Upper Saddle River, 2001.[4]SONNTAG, Richard E., BORGNAKKE, Claus, VAN WYLEN, Gordon J. "Fundamentals of Thermodynamics, Fifth Edition", John Wiley & Sons Inc., New York, 1998.[5]IINOYA, Koichi, GOTOH, Keishi, HIGASHITANI, Ko. "Powder Technology Handbook", CRN Press, 1997.[6]MODESTOV, V.B. "Determination of Mixer Power Required for Mixing of Granular Materials", Chemical and Petrolem Engineering, Vol. 39, Nos 3-4, 2003.[7]PERRY, R.H., Green, D.W. "Perry's Chemical Engineers Handbook, Seventh Edition", McGraw-Hill Companies Inc., New York, 1997.[8]INCROPERA, Frank P., DEWITT, David P. "Fundamentals of Heat and Mass Transfer, Fifth Edition", John Wiley & Sons, New York, 2002.

http://users.wpi.edu/~ierardi/FireTools/air_prop.html

Shear_PinShear pinLimite d'lastcit de la shear pin (Sy)30.0ksiGPa0MPa0psi0ksi1206.8MPa206842773PaRsistance la traction de la shear pin (Su)48.0ksiGPa0MPa0psi0ksi1330.9MPa330948436Pa???Couple impos10000.0lb*poN*m0lb*po1lb*pi01129.8N*mDiamtre de la shear pin0.44pocm0m0km0po1pi0mile00.01mDiamtre de la rupture de la shear pin2.63pocm0m0km0po1pi0mile00.07mFacteur de scurit pour la rupture de la shear pin0.95-Facteur de scurit pour l'quipement protger1.06-

Torsion_TuyauTorsion tuyauLimite d'lastcit du matriau (Sy)30.0ksiGPa0MPa0psi0ksi1206.8MPaRsistance la traction (Su)48.0ksiGPa0MPa0psi0ksi1330.9MPaModule de Coulomb du matriau (G)80GPaGPa1MPa0psi0ksi080000MPa???Couple appliqu sur le tuyau30000.0lb*poN*m0lb*po1lb*pi03389.5N*mDiamtre interne du tuyau3.826pocm0m0po1pi00.0972mDiamtre externe du tuyau4.500pocm0m0po1pi00.1143mMoment de torsion (J)8.000E-06m4Contrainte de cisaillement maximale24.2MPa3512psi3.5ksiFacteur de scurit pour la dformation plastique4.27-Facteur de scurit pour la rupture6.83-Contrainte maximale dans la sectionPa

Pertes_ChargeAirEauGaz parfaitLiquide incompressiblequationRef.???Temprature300.0FC020.0CC1450.0CC120.0CC1F1F0F0F0K0K0K0K0R0R0R0R0422.0K293.2K723.2K293.2K148.9C20.0C450.0C20.0CPression0.0psigkPa00.0psigkPa07.5psigkPa07.0psigkPa0bar0bar0bar0bar0psig1psig1psig1psig1psia0psia0psia0psia0atm0atm0atm0atm0101325Pa101325Pa153036Pa149588PaMasse molculaire28.951kg/kmol-kg/kmol26.783kg/kmol-kg/kmolMasse volumique0.8360kg/m3998.2kg/m3Valide de 0 150C [2]0.6817kg/m3990000.00g/m3g/cm30[2], p.E-5[4], p.47g/m31kg/m30lb/po30lb/pi30oz/gal0990.00kg/m3Viscosit dynamique2.391E-05N*s/m2Valide de 100 1600 K [1]1.002E-03N*s/m23.003E-05N*s/m21.002E-03N*s/m2[2], p.E-5[3], p.14Viscosit cinmatique2.860E-05m2/s1.004E-06m2/s4.406E-05m2/s1.012E-06m2/s[1][3], p.14Dbit1.800E+01SCFMSCFM13.927E-05m3/sGPM01.156E-01kg/sSCFM02.000E+01GPMGPM1CFM0m3/s1CFM0m3/s0l/min0l/min0l/min0l/min0kg/s0kg/s0kg/s1kg/s00.012442m3/s0.000039m3/s0.169509m3/s0.001262m3/sDiamtre du tuyau externe0.620000pocm00.050000mcm06.070000pocm00.750000pocm0[8], p.501m0m1m0m0po1po0po1po1pi0pi0pi0pi00.0157m0.0500m0.1542m0.0191mDiamtre du tuyau interne (0 si pas tuyaux concentriques)0.000000pocm00.000000pocm00.000000pocm00.000000pocm0[8], p.501m0m0m0m0po1po1po1po1pi0pi0pi0pi00.0000m0.0000m0.0000m0.0000mDiamtre quivalent1.575E-02m5.000E-02m1.542E-01m1.905E-02m[8], p.495; 501Section d'coulement1.948E-04m21.963E-03m21.867E-02m22.850E-04m2Vitesse d'coulement63.88m/s0.02m/s9.08m/s4.43m/s[8], p.467229.96km/hr0.07km/hr32.69km/hr15.94m/s12574.64pi/min3.94pi/min1787.29pi/min871.46m/sTransition laminaire/ turbulent3000-3000-3000-3000-[3], p.315[8], p.467LaminaireReynolds3.517E+04-9.961E+02-3.177E+04-8.332E+04-[8], p.467TurbulentTurbulentLaminaireTurbulentTurbulentLongueur de la rgion d'entre0.397m2.889m3.818m0.554m[3], p.315[8], p.467Hauteur des asprits sur les parois0.00015picm00.00015picm00.00015picm00.00015picm0[3], p.318m0m0m0m0po0po0po0po0pi1pi1pi1pi14.572E-05m4.572E-05m4.572E-05m4.572E-05mRugosit relative0.00290-0.00091-0.00030-0.00240-[3], p.318Coefficient de frictionLaminaire0.00182-0.06425-0.00201-0.00077-[3], p.317[8], p.470Blasius(smooth pipe)0.02310-0.05632-0.02370-0.01862-[3], p.319[8], p.470f0 Colebrook0.02970-0.06719-0.02400-0.02666-[3], p.319Colebrook (turbulent, rough pipe)0.02929-0.06318-0.02396-0.02635-[3], p,319Erreur d'itration sur Colebrook0.00E+00%0.00E+00%0.00E+00%0.00E+00%Rel0.02929-0.06425-0.02396-0.02635-Longueur total de tuyau24.00pocm01.20mcm015.00picm05.00picm0m0m1m0m0km0km0km0km0po1po0po0po0pi0pi0pi1pi1mile0mile0mile0mile00.61m1.20m4.57m1.52mGomtrie 1Facteur de perte0.5KLe/D030Le/DLe/D10.5KLe/D030Le/DLe/D1[3], p.323-325K1K0K1K0Longueur quivalente0.269m1.500m3.218m0.572m[3], p.323Rptition de la gomtrie 10-0-0-0-Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2[3], p.323Gomtrie 2Facteur de perte0.5KLe/D030Le/DLe/D10.5KLe/D030Le/DLe/D1[3], p.323-325K1K0K1K0Longueur quivalente0.269m1.500m3.218m0.572m[3], p.323Rptition de la gomtrie 20-0-0-0-Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2[3], p.323Gomtrie 3Facteur de perte0.5KLe/D030Le/DLe/D10.5KLe/D030Le/DLe/D1[3], p.323-325K1K0K1K0Longueur quivalente0.269m1.500m3.218m0.572m[3], p.323Rptition de la gomtrie 30-0-0-0-Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2[3], p.323Gomtrie 4Facteur de perte0.5KLe/D030Le/DLe/D10.5KLe/D030Le/DLe/D1[3], p.323-325K1K0K1K0Longueur quivalente0.269m1.500m3.218m0.572m[3], p.323Rptition de la gomtrie 40-0-0-0-Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2[3], p.323Gomtrie 5Facteur de perte0.5KLe/D030Le/DLe/D10.5KLe/D030Le/DLe/D1[3], p.323-325K1K0K1K0Longueur quivalente0.269m1.500m3.218m0.572m[3], p.323Rptition de la gomtrie 50-0-0-0-Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2[3], p.323Total Major Losses2.313E+03m2/s23.084E-04m2/s22.928E+01m2/s22.066E+01m2/s2[3], p.317Total Minor Losses0.000E+00m2/s20.000E+00m2/s20.000E+00m2/s20.000E+00m2/s2Perte de charge1933.752Pa0.308Pa19.963Pa20450.681Pa[3], p.3171.934kPa0.000kPa0.020kPa20.451kPa0.280psi0.000psi0.003psi2.966psiquivalent des pertes de charge en puissance24.060W0.000W3.384W25.805W0.024kW0.000kW0.003kW0.026kW0.032hp0.000hp0.005hp0.035hpTableau d'itration pour le cofficient de friction de ColebrookAirEauGaz pafaitLiquide incompressibleItration 10.0292677275920640.0623562752859990.0239531413447370.026340787748148Itration 20.0292898551123620.0633527466190920.0239589216676710.026350780937205Itration 30.0292887125313960.0631388741292870.0239582496114090.026350467280278Itration 40.0292887715002560.0631843982622770.0239583277384980.026350477122453Itration 50.0292887684567810.0631746909700930.0239583186560210.026350476813615Itration 60.0292887686138590.0631767601131770.0239583197118800.026350476823306Itration 70.0292887686057520.0631763190326270.0239583195891340.026350476823002Itration 80.0292887686061700.0631764130564350.0239583196034040.026350476823012Itration 90.0292887686061490.0631763930135910.0239583196017450.026350476823011Itration 100.0292887686061500.0631763972860760.0239583196019380.026350476823011Itration 110.0292887686061500.0631763963753200.0239583196019150.026350476823011Itration 120.0292887686061500.0631763965694640.0239583196019180.026350476823011Itration 130.0292887686061500.0631763965280790.0239583196019170.026350476823011Itration 140.0292887686061500.0631763965369000.0239583196019180.026350476823011Itration 150.0292887686061500.0631763965350200.0239583196019180.026350476823011Itration 160.0292887686061500.0631763965354210.0239583196019180.026350476823011Itration 170.0292887686061500.0631763965353350.0239583196019180.026350476823011Itration 180.0292887686061500.0631763965353540.0239583196019180.026350476823011Itration 190.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 200.0292887686061500.0631763965353510.0239583196019180.026350476823011Itration 210.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 220.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 230.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 240.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 250.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 260.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 270.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 280.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 290.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 300.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 310.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 320.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 330.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 340.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 350.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 360.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 370.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 380.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 390.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 400.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 410.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 420.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 430.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 440.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 450.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 460.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 470.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 480.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 490.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 500.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 510.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 520.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 530.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 540.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 550.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 560.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 570.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 580.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 590.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 600.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 610.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 620.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 630.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 640.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 650.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 660.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 670.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 680.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 690.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 700.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 710.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 720.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 730.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 740.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 750.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 760.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 770.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 780.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 790.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 800.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 810.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 820.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 830.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 840.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 850.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 860.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 870.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 880.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 890.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 900.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 910.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 920.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 930.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 940.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 950.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 960.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 970.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 980.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 990.0292887686061500.0631763965353500.0239583196019180.026350476823011Itration 1000.0292887686061500.0631763965353500.0239583196019180.026350476823011

Convection_Tuyau_InterneAirEauGaz parfaitLiquide incompressiblequationRef.???Temprature moyenne70.0FC05.0CC1450.0CC120.0CC1F1F0F0F0K0K0K0K0R0R0R0R0294.3K278.2K723.2K293.2K21.1C5.0C450.0C20.0C???Temprature la surface50.0CC14.8CC1tempCC120.0CC1F0F0F0F0K0K0K0K0R0R0R0R0323.2K277.9K0.0K293.2K50.0C4.8C0.0C20.0CPression0.0psigkPa0temppsigkPa07.5psigkPa07.0psigkPa0bar0bar0bar0bar0psig1psig1psig1psig1psia0psia0psia0psia0atm0atm0atm0atm0101325Pa0Pa153036Pa149588PaMasse molculaire28.951kg/kmol18.015kg/kmol26.78kg/kmol-kg/kmolMasse volumique1.1990kg/m3999.9kg/m3Valide de 0 150C [2]0.6817kg/m3990.00kg/m3g/cm30[2], p.E-5[4], p.47g/m30kg/m31lb/po30lb/pi30oz/gal0990.00kg/m3Masse volumique la surface1.0918kg/m3999.9kg/m30.0000kg/m3990.00kg/m3g/cm30g/m30kg/m31lb/po30lb/pi30oz/gal0990.00kg/m3Viscosit dynamique1.872E-05N*s/m2Valide de 100 1600 K[1] ATTENTION, valeurs seulement valide Patm ?1.519E-03N*s/m23.003E-05N*s/m21.002E-03N*s/m2[2], p.E-5[3], p.14Viscosit dynamique la surface1.999E-05N*s/m21.531E-03N*s/m2tempN*s/m21.002E-03N*s/m2Viscosit cinmatique1.561E-05m2/s1.519E-06m2/s4.406E-05m2/s1.012E-06m2/s[1][3], p.14Viscosit cinmatique la surface1.831E-05m2/s1.531E-06m2/s0.000E+00m2/s1.012E-06m2/s???Conductivit thermique0.0300W/(m*K)W/(m*K)10.574668W/(m*K)0.0651W/(m*K)W/(m*K)10.6000W/(m*K)W/(m*K)1[2], p.E-6Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0300W/(m*K)0.0651W/(m*K)0.6000W/(m*K)???Conductivit thermique la surface0.0469W/(m*K)W/(m*K)10.574170W/(m*K)tempW/(m*K)W/(m*K)10.6000W/(m*K)W/(m*K)1Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0469W/(m*K)0.0000W/(m*K)0.6000W/(m*K)Chaleur massique1001J/(kg*K)Valide de 50 1500 K [7]4215J/(kg*K)Valide de 0 260C [7]1.4598kJ/(kg*K)J/(kg*K)02kJ/(kg*K)J/(kg*K)0[7], p.2-174; 2-181kJ/(kg*K)1kJ/(kg*K)1Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01460J/(kg*K)2000J/(kg*K)Chaleur massique la surface1003J/(kg*K)4216J/(kg*K)tempkJ/(kg*K)J/(kg*K)02kJ/(kg*K)J/(kg*K)0kJ/(kg*K)1kJ/(kg*K)1Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)00J/(kg*K)2000J/(kg*K)Prandlt0.625-11.143-0.673-3.340[8], p.355Prandlt la surface0.427-11.243-0.000-3.340Dbit5.000E-02kg/sSCFM02.951E-02m^3/sGPM02.406E-04kg/sSCFM01.000E+00GPMGPM1CFM0m^3/s1CFM0m^3/s0l/min0l/min0l/min0l/min0kg/s1kg/s0kg/s1kg/s00.041702m3/s0.029513m3/s0.000353m3/s0.000063m3/sDiamtre du tuyau externe0.150000mcm07.981000pocm00.402000pocm00.750000pocm0[8], p.501m1m0m0m0po0po1po1po1pi0pi0pi0pi00.1500m0.2027m0.0102m0.0191mDiamtre du tuyau interne (0 si pas tuyaux concentriques)0.010000pocm00.000000pocm00.000000pocm00.200000pocm0[8], p.501m0m0m0m0po1po1po1po1pi0pi0pi0pi00.0003m0.0000m0.0000m0.0051mDiamtre quivalent1.497E-01m2.027E-01m1.021E-02m1.397E-02m[8], p.495; 501Section d'coulement1.767E-02m23.228E-02m28.189E-05m22.648E-04m2Vitesse d'coulement2.36m/s0.91m/s4.31m/s0.24m/s[8], p.4678.50km/hr3.29km/hr15.52km/hr0.86km/hr464.54pi/min180.00pi/min848.61pi/min46.91pi/minTransition laminaire/ turbulent3000-3000-3000-3000-[3], p.315[8], p.467LaminaireReynolds2.264E+04-1.220E+05-9.991E+02-3.289E+03-[8], p.467TurbulentTurbulentTurbulentLaminaireTurbulentLongueur de la rgion thermique d'entre1.497m2.027m0.343m0.140m[8], p.472Hauteur des asprits sur les parois0.00015picm00.00015picm00.00015picm00.00015picm0[3], p.318m0m0m0m0po0po0po0po0pi1pi1pi1pi14.572E-05m4.572E-05m4.572E-05m4.572E-05mRugosit relative0.00031-0.00023-0.00448-0.00327-[3], p.318Coefficient de frictionLaminaire0.00283-0.00052-0.06406-0.01946-[3], p.317[8], p.470Blasius(smooth pipe)0.02580-0.01693-0.05628-0.04178-[3], p.319[8], p.470f0 Colebrook0.02586-0.01856-0.06956-0.04659-[3], p.319Colebrook (turbulent, rough pipe)0.02579-0.01851-0.06523-0.04525-[3], p,319Erreur d'itration sur Colebrook0.00E+00%0.00E+00%0.00E+00%4.60E-14%Rel0.02579-0.01851-0.06406-0.04525-Longueur total du tuyau s'il est plus court que la rgion thermique d'entre5.00mcm0tempmcm0temppocm05.00picm0[8], p.490m1m1m0m0km0km0km0km0po0po0po1po0pi0pi0pi0pi1mile0mile0mile0mile05.00m0.00m0.00m1.52mFacteurs pour tuyaux concentriquesDi/Do0.00169-0.00000-0.00000-0.26667-[8], p.501Longueur de tuyau interne chauffe5.00mcm0tempmcm024.00pocm05.00picm0m1m1m0m0km0km0km0km0po0po0po1po0pi0pi0pi0pi1mile0mile0mile0mile05.00m0.00m0.61m1.52mLongueur de tuyau externe chauffe5.00mcm0tempmcm024.00pocm05.00picm0m1m1m0m0km0km0km0km0po0po0po1po0pi0pi0pi0pi1mile0mile0mile0mile05.00m0.00m0.61m1.52mPuissance de chauffage sur le tuyau interne (ngatif si refroid. du fluide)1.000kWW0tempkWW01.000kWW01.000kWW0kW1kW1kW1kW1hp0hp0hp0hp0Btu/hr0Btu/hr0Btu/hr0Btu/hr01000.000W0.000W1000.000W1000.000WPuissance de chauffage sur le tuyau externe (ngatif si refroid. du fluide)1.000kWW0tempkWW01.000kWW01.000kWW0kW1kW1kW1kW1hp0hp0hp0hp0Btu/hr0Btu/hr0Btu/hr0Btu/hr01000.000W0.000W1000.000W1000.000WFlux de chaleur sur la surface interne250637.7W/m20.0W/m20.0W/m241115.1W/m2[8], p.501Flux de chaleur sur la surface externe424.4W/m20.0W/m251138.2W/m210964.0W/m2[8], p.501Nuii5.9120-temp-5.9120-5.9120-[8], p.502Nuoo5.0990-temp-5.0990-5.0990-[8], p.502i*0.4730-temp-0.4730-0.4730-[8], p.502o*0.2455-temp-0.2455-0.2455-[8], p.502Nombre de Nusselt et coefficient de convectionLaminaireFlux constantRgime dvelopp4.360-4.360-4.360-4.360-[8], p.486; 5080.873W/m2*K12.360W/m2*K27.812W/m2*K187.258W/m2*K[8], p.486LaminaireTs constantRgime dvelopp3.660-3.660-3.660-3.660-[8], p.487; 5080.733W/m2*K10.375W/m2*K23.347W/m2*K157.194W/m2*K[8], p.486LaminaireTs constantRgion d'entreEntre thermique12.350-0.000-1660.000-7.265-[8], p.490; 5082.474W/m2*K0.000W/m2*K0.000W/m2*K312.042W/m2*K[8], p.486LaminaireTs ConstantRgion d'entreEntre combine13.841-0.000-0.000-8.654-[8], p.490; 5082.773W/m2*K0.000W/m2*K0.000W/m2*K371.662W/m2*K[8], p.486TurbulentRgime dveloppPetite diffrence entre Ts et Tm61.340-640.384-0.000-24.776-[8], p.491; 50812.289W/m2*K1815.375W/m2*K0.000W/m2*K1064.119W/m2*K[8], p.486TurbulentRgime dveloppGrande diffrence entre Ts et Tm69.682-706.282-0.000-26.279-[8], p.491; 50813.960W/m2*K2002.185W/m2*K0.000W/m2*K1128.669W/m2*K[8], p.486TurbulentRgime dveloppPlus prcis 152.058-896.986-6.678-27.627-[8], p.49210.429W/m2*K2542.798W/m2*K42.597W/m2*K1186.553W/m2*K[8], p.486TurbulentRgime dveloppPlus prcis 254.080-907.754--0.007-19.845-[8], p.492; 50810.834W/m2*K2573.323W/m2*K-0.042W/m2*K852.333W/m2*K[8], p.486LaminaireConcentrique1 surface Ts const.1 surface isole7.370-7.370-7.370-7.370-[8], p.5011.477W/m2*K20.893W/m2*K47.013W/m2*K316.535W/m2*K[8], p.486LaminaireConcentrique2 surface qs constant Interne5.917-0.000-0.000-6.765-[8], p.5011.185W/m2*K0.000W/m2*K0.000W/m2*K290.566W/m2*K[8], p.486LaminaireConcentrique2 surface qs constant Externe-0.035-0.000-0.000-64.239-[8], p.501-0.007W/m2*K0.000W/m2*K0.000W/m2*K2759.028W/m2*K[8], p.486Tableau d'itration pour le cofficient de friction de ColebrookAirEauGaz pafaitLiquide incompressibleItration 10.0257843207692250.0185057544897320.0644122705690460.045051438460583Itration 20.0257936112175350.0185106857417730.0653936564446380.045275164800498Itration 30.0257924528404780.0185102701597230.0651983742510840.045241908689538Itration 40.0257925972441680.0185103051775410.0652369158342390.045246838335077Itration 50.0257925792423140.0185103022268270.0652292967863110.045246107297834Itration 60.0257925814864800.0185103024754640.0652308024665050.045246215699682Itration 70.0257925812067150.0185103024545130.0652305048943650.045246199625170Itration 80.0257925812415920.0185103024562780.0652305637037130.045246202008797Itration 90.0257925812372440.0185103024561290.0652305520811600.045246201655338Itration 100.0257925812377860.0185103024561420.0652305543781360.045246201707751Itration 110.0257925812377180.0185103024561410.0652305539241830.045246201699979Itration 120.0257925812377270.0185103024561410.0652305540138980.045246201701131Itration 130.0257925812377260.0185103024561410.0652305539961680.045246201700960Itration 140.0257925812377260.0185103024561410.0652305539996720.045246201700986Itration 150.0257925812377260.0185103024561410.0652305539989790.045246201700982Itration 160.0257925812377260.0185103024561410.0652305539991160.045246201700983Itration 170.0257925812377260.0185103024561410.0652305539990890.045246201700983Itration 180.0257925812377260.0185103024561410.0652305539990940.045246201700983Itration 190.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 200.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 210.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 220.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 230.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 240.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 250.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 260.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 270.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 280.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 290.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 300.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 310.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 320.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 330.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 340.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 350.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 360.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 370.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 380.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 390.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 400.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 410.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 420.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 430.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 440.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 450.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 460.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 470.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 480.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 490.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 500.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 510.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 520.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 530.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 540.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 550.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 560.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 570.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 580.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 590.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 600.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 610.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 620.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 630.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 640.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 650.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 660.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 670.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 680.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 690.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 700.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 710.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 720.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 730.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 740.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 750.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 760.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 770.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 780.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 790.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 800.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 810.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 820.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 830.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 840.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 850.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 860.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 870.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 880.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 890.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 900.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 910.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 920.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 930.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 940.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 950.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 960.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 970.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 980.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 990.0257925812377260.0185103024561410.0652305539990930.045246201700983Itration 1000.0257925812377260.0185103024561410.0652305539990930.045246201700983

Changement_Phase_VerticalEau / VapeurLiquide incompressiblequationRef.Pression0.0psigkPa01.0atmkPa0Pbar0bar0psig1psig0psia0psia0atm0atm1101325Pa101325Pa???Temprature de saturation du fluide100.0CC1212.0FC0TsatF0F1K0K0R0R0373.2K373.2K100.0C100.0C???Temprature de la surface50.0CC1122.0FC0TsF0F1K0K0R0R0323.2K323.2K50.0C50.0CTemprature du film348.2K348.2KTf75.0C75.0CMasse molculaire18.015kg/kmol18.015kg/kmolMEnthalpie d'vaporation2257.0kJ/kg2257.0kJ/kghfgMasse volumique du liquide (T film)974.8kg/m3Valide de 0 150C [2]0.97g/cm3g/cm31Rholg/m30kg/m30lb/po30lb/pi30oz/gal0974.80kg/m3Masse volumique du gaz0.588kg/m3588.00g/m3g/cm30Rhovg/m31kg/m30lb/po30lb/pi30oz/gal00.59kg/m3Viscosit dynamique du liquide (T film)3.777E-04N*s/m2Valide de 0 150C [2]3.777E-04N*s/m2MulViscosit cinmatique du liquide (T film)3.875E-07N*s/m23.875E-07N*s/m2Nul???Conductivit thermique du lilquide (T film)0.664781W/(m*K)0.6648W/(m*K)W/(m*K)1klBtu*pi/(hr*pi2*F)0cal/(s*cm*C)00.6648W/(m*K)Chaleur massique du liquide (T film)4219J/(kg*K)Valide de 0 260C [7]4.219kJ/(kg*K)J/(kg*K)0Cp, lkJ/(kg*K)1Btu/(lb*R)0cal/(g*C)04219J/(kg*K)Prandlt2.398-2.397[8], p.355Jakob0.0935-0.0935Ja[8], p.621Enthalpie d'vaporation corrige2400.5kJ/kg2400.4kJ/kghfg'[8], p.618Force gravitationnelle9.81m/s29.81m/s2gLongueur de la plaque1.0000mcm039.3701pocm0Lm1m0po0po1pi0pi01.0000m1.0000mLargeur de la surface d'change0.2513mcm09.8937pocm0Lm1m0po0po1pi0pi00.2513m0.2513mSurface d'change2.513E-01m22.513E-01m2Transition laminaire / wavy30-30-[8], p.619Transition wavy / turbulent1800-1800-[8], p.619Rgime LaminaireCoefficient de convection4073W/m2*KJa < 0,1Re < 301 < Pr < 1004073W/m2*KJa < 0,1Re < 301 < Pr < 100[8], p.618Puissance de condensation51177W51172W[8], p.619Dbit de condensation0.02132kg/s0.02132kg/s[8], p.619LaminaireReynolds898-898-[8], p.619TurbulentWavyWavyRgime WavyApproximation du Reynolds1159-1173-[8], p.618Coefficient de convection5255W/m2*K30 < Re < 18005241W/m2*K30 < Re < 1800[8], p.620Puissance de condensation66036W65859W[8], p.619Dbit de condensation0.02751kg/s0.02744kg/s[8], p.619LaminaireReynolds1159-1156-[8], p.619TurbulentWavyWavyDiffrence entre Reynolds approximation et rel-0-17Rgime TurbulentApproximation du Reynolds994-1173-[8], p.618Coefficient de convection4508W/m2*KRe > 18004632W/m2*KRe > 1800[8], p.620Puissance de condensation56645W58200W[8], p.619Dbit de condensation0.02360kg/s0.02425kg/s[8], p.619LaminaireReynolds994-1022-[8], p.619TurbulentWavyWavyDiffrence entre Reynolds approximation et rel-0-151

Convection_Tuyau_ExterneAirEauGaz parfaitLiquide incompressiblequationRef.???Temprature-34.0CC1300.0KC020.0CC1300.0KC0F0F0F0F0K0K1K0K1R0R0R0R0239.2K300.0K293.2K300.0K-34.0C26.9C20.0C26.9CTemprature du film258.53K350.00K308.15K350.00K[8], p.388-14.63C76.85C35.00C76.85C???Temprature la surface4.8CC1400.0KC050.0CC1400.0KC0F0F0F0F0K0K1K0K1R0R0R0R0277.9K400.0K323.2K400.0K4.8C126.9C50.0C126.9CPression0.0psigkPa00.0psigkPa00.0psigkPa00.0psigkPa0bar0bar0bar0bar0psig1psig1psig1psig1psia0psia0psia0psia0atm0atm0atm0atm0101325Pa101325Pa101325Pa101325PaMasse molculaire28.951kg/kmol18.015kg/kmol28.97kg/kmol-kg/kmolMasse volumique1.4753kg/m3996.5kg/m3Valide de 0 150C [2]1.2043kg/m31.00g/cm3g/cm31[2], p.E-5[4], p.47g/m30kg/m30lb/po30lb/pi30oz/gal0996.50kg/m3Masse volumique du film1.3647kg/m3973.7kg/m31.1457kg/m30.97g/cm3g/cm31g/m30kg/m30lb/po30lb/pi30oz/gal0973.70kg/m3Masse volumique la surface1.2696kg/m3937.5kg/m31.0925kg/m30.94g/cm3g/cm31g/m30kg/m30lb/po30lb/pi30oz/gal0937.50kg/m3Viscosit dynamique1.602E-05N*s/m2Valide de 100 1600 K[1]8.540E-04N*s/m21.868E-05N*s/m28.540E-04N*s/m2[2], p.E-5[3], p.14Viscosit dynamique du film1.702E-05N*s/m23.688E-04N*s/m21.868E-05N*s/m23.688E-04N*s/m2Viscosit dynamique la surface1.796E-05N*s/m22.187E-04N*s/m21.868E-05N*s/m22.187E-04N*s/m2Viscosit cinmatique1.086E-05m2/s8.570E-07m2/s1.551E-05m2/s8.570E-07m2/s[1][3], p.14Viscosit cinmatique du film1.247E-05m2/s3.788E-07m2/s1.630E-05m2/s3.788E-07m2/sViscosit cinmatique la surface1.415E-05m2/s2.333E-07m2/s1.710E-05m2/s2.333E-07m2/s???Conductivit thermiquetempW/(m*K)W/(m*K)10.612431W/(m*K)0.0200W/(m*K)W/(m*K)10.6124W/(m*K)W/(m*K)1[2], p.E-6Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0000W/(m*K)0.0200W/(m*K)0.6124W/(m*K)???Conductivit thermique du film0.0223W/(m*K)W/(m*K)10.666106W/(m*K)0.0200W/(m*K)W/(m*K)10.6661W/(m*K)W/(m*K)1Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0223W/(m*K)0.0200W/(m*K)0.6661W/(m*K)???Conductivit thermique la surfacetempW/(m*K)W/(m*K)10.685640W/(m*K)0.0200W/(m*K)W/(m*K)10.6856W/(m*K)W/(m*K)1Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0000W/(m*K)0.0200W/(m*K)0.6856W/(m*K)Chaleur massique1000J/(kg*K)Valide de 50 1500 K [7]4183J/(kg*K)Valide de 0 260C [7]1kJ/(kg*K)J/(kg*K)04183J/(kg*K)J/(kg*K)1[7], p.2-174; 2-181kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4183J/(kg*K)Chaleur massique du film1001J/(kg*K)4193J/(kg*K)1kJ/(kg*K)J/(kg*K)04193J/(kg*K)J/(kg*K)1kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4193J/(kg*K)Chaleur massique la surface1001J/(kg*K)4262J/(kg*K)1kJ/(kg*K)J/(kg*K)04262J/(kg*K)J/(kg*K)1kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4262J/(kg*K)Prandlt0.000-5.833-0.934-5.833[8], p.355Prandlt du film0.764-2.321-0.934-2.322Prandlt la surface0.000-1.359-0.934-1.359???Coefficient d'expansion thermique volumtrique du film3.868E-031/K2.476E-031/K3.245E-031/K2.476E-031/K1/C0[8], p.5371/F01/K11/R02.476E-031/KDiamtre externe du tuyau7.981000pocm03.000000pocm00.620000pocm03.000000pocm0[8], p.407m0m0m0m0po1po1po1po1pi0pi0pi0pi00.2027m0.0762m0.0157m0.0762mVitesse moyenne d'coulement externe0.0001m/sm/s15.0000mile/hrm/s05.0000mile/hrm/s05.0000mile/hrm/s0[8], p.407km/hr0km/hr0km/hr0km/hr0pi/min0pi/min0pi/min0pi/min0mile/hr0mile/hr1mile/hr1mile/hr10.000m/s11.185m/s11.185m/s11.185m/sTransition laminaire/ turbulent200000-200000-200000-200000-[3], p.301[8], p.408LaminaireReynolds1.866E+00-9.945E+05-1.136E+04-9.945E+05-[8], p.408TurbulentLaminaireTurbulentLaminaireTurbulentReynolds du film1.625E+00-2.250E+06-1.080E+04-2.250E+06-LaminaireTurbulentLaminaireTurbulentReD Pr0-5800776-10606-5800783-[8], p.411NaturelleGrashof du film7.875E+07-7.491E+09-1.403E+04-7.491E+09-[8], p.539ForceNaturelleForceForceForceLaminaireRayleigh du film6.015E+07-1.739E+10-1.310E+04-1.739E+10-[8], p.543TurbulentLaminaireTurbulentLaminaireTurbulentfacteur C (tableau 7.2 7.4 et 9,1)0.4800-0.6830-0.6830-0.6830-[8], p.410-412; 554facteur m (n pour naturelle) (tableau 7.2 7.4 et 9,1)0.2500-0.4660-0.4660-0.4660-[8], p.410-412; 554facteur n0.0000-0.3700-0.3700-0.3700-[8], p.411Nombre de Nusselt et coefficient de convectionConvection forceTuyau circulaire ouTuyau non-circulaire avec gaz0.495-825.025-50.602-825.042-[8], p.410; 4360.054W/m2*K7212.003W/m2*K64.264W/m2*K7212.144W/m2*K[8], p.410Convection forceTuyau circulaire(Zhukauskas)0.000-1177.109-51.663-1177.093-[8], p.411; 4370.000W/m2*K9460.605W/m2*K65.612W/m2*K9460.476W/m2*K[8], p.410Convection forceTuyau circulaire(Churchill & Bernstein)0.938-3944.715-62.379-3944.852-[8], p.411; 4370.103W/m2*K34482.941W/m2*K79.222W/m2*K34484.114W/m2*K[8], p.410Convection naturelleTuyau circulaireTs constant(Morgan)42.271-40402.303-56.643-40402.886-[8], p.5544.650W/m2*K353178.924W/m2*K71.936W/m2*K353183.791W/m2*K[8], p.554Convection naturelleTuyau circulaireTs constant(Churchill & Chu)48.933-333.014-4.806-333.018-[8], p.5545.383W/m2*K2911.061W/m2*K6.103W/m2*K2911.093W/m2*K[8], p.554

Convection_PlaqueAirEauGaz parfaitLiquide incompressiblequationRef.???Temprature-34.0CC1300.0KC020.0CC1300.0KC0F0F0F0F0K0K1K0K1R0R0R0R0239.2K300.0K293.2K300.0K-34.0C26.9C20.0C26.9CTemprature du film258.53K350.00K308.15K350.00K[8], p.388-14.63C76.85C35.00C76.85C???Temprature la surface4.8CC1400.0KC050.0CC1400.0KC0F0F0F0F0K0K1K0K1R0R0R0R0277.9K400.0K323.2K400.0K4.8C126.9C50.0C126.9CPression0.0psigkPa00.0psigkPa00.0psigkPa00.0psigkPa0bar0bar0bar0bar0psig1psig1psig1psig1psia0psia0psia0psia0atm0atm0atm0atm0101325Pa101325Pa101325Pa101325PaMasse molculaire28.951kg/kmol18.015kg/kmol28.97kg/kmol-kg/kmolMasse volumique1.4753kg/m3996.5kg/m3Valide de 0 150C [2]1.2043kg/m31.00g/cm3g/cm31[2], p.E-5[4], p.47g/m30kg/m30lb/po30lb/pi30oz/gal0996.50kg/m3Masse volumique du film1.3647kg/m3973.7kg/m31.1457kg/m30.97g/cm3g/cm31g/m30kg/m30lb/po30lb/pi30oz/gal0973.70kg/m3Masse volumique la surface1.2696kg/m3937.5kg/m31.0925kg/m30.94g/cm3g/cm31g/m30kg/m30lb/po30lb/pi30oz/gal0937.50kg/m3Viscosit dynamique1.602E-05N*s/m2Valide de 100 1600 K[1]8.540E-04N*s/m21.868E-05N*s/m28.540E-04N*s/m2[2], p.E-5[3], p.14Viscosit dynamique du film1.702E-05N*s/m23.688E-04N*s/m21.868E-05N*s/m23.688E-04N*s/m2Viscosit dynamique la surface1.796E-05N*s/m22.187E-04N*s/m21.868E-05N*s/m22.187E-04N*s/m2Viscosit cinmatique1.086E-05m2/s8.570E-07m2/s1.551E-05m2/s8.570E-07m2/s[1][3], p.14Viscosit cinmatique du film1.247E-05m2/s3.788E-07m2/s1.630E-05m2/s3.788E-07m2/sViscosit cinmatique la surface1.415E-05m2/s2.333E-07m2/s1.710E-05m2/s2.333E-07m2/s???Conductivit thermiquetempW/(m*K)W/(m*K)10.612431W/(m*K)0.0200W/(m*K)W/(m*K)10.6124W/(m*K)W/(m*K)1[2], p.E-6Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0000W/(m*K)0.0200W/(m*K)0.6124W/(m*K)???Conductivit thermique du film0.0223W/(m*K)W/(m*K)10.666106W/(m*K)0.0200W/(m*K)W/(m*K)10.6661W/(m*K)W/(m*K)1Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0223W/(m*K)0.0200W/(m*K)0.6661W/(m*K)???Conductivit thermique la surfacetempW/(m*K)W/(m*K)10.685640W/(m*K)0.0200W/(m*K)W/(m*K)10.6856W/(m*K)W/(m*K)1Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0Btu*pi/(hr*pi2*F)0cal/(s*cm*C)0cal/(s*cm*C)0cal/(s*cm*C)00.0000W/(m*K)0.0200W/(m*K)0.6856W/(m*K)Chaleur massique1000J/(kg*K)Valide de 50 1500 K [7]4183J/(kg*K)Valide de 0 260C [7]1kJ/(kg*K)J/(kg*K)04183J/(kg*K)J/(kg*K)1[7], p.2-174; 2-181kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4183J/(kg*K)Chaleur massique du film1001J/(kg*K)4193J/(kg*K)1kJ/(kg*K)J/(kg*K)04193J/(kg*K)J/(kg*K)1kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4193J/(kg*K)Chaleur massique la surface1001J/(kg*K)4262J/(kg*K)1kJ/(kg*K)J/(kg*K)04262J/(kg*K)J/(kg*K)1kJ/(kg*K)1kJ/(kg*K)0Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)01000J/(kg*K)4262J/(kg*K)Prandlt0.000-5.833-0.934-5.833[8], p.355Prandlt du film0.764-2.321-0.934-2.322Prandlt la surface0.000-1.359-0.934-1.359???Coefficient d'expansion thermique volumtrique du film3.868E-031/K2.476E-031/K3.245E-031/K2.476E-031/K1/C0[8], p.5371/F01/K11/R02.476E-031/KLongueur de la plaque60.000000pocm03.000000pocm00.620000pocm03.000000pocm0[8], p.539m0m0m0m0po1po1po1po1pi0pi0pi0pi01.5240m0.0762m0.0157m0.0762mProfondeur de la plaquetempmcm03.000000pocm00.620000pocm03.000000pocm0[8], p.551m1m0m0m0po0po1po1po1pi0pi0pi0pi00.0000m0.0762m0.0157m0.0762mLongueur caractristique (plaque horizontale)0.000-0.019-0.004-0.019[8], p.551Angle d'une plaque oblique par rapport la verticale (0 par dfaut)0.0000degdeg10.0000degdeg10.0000degdeg10.0000degdeg1[8], p.549, 550rad0rad0rad0rad0grad0grad0grad0grad0tour0tour0tour0tour00.0000rad0.0000rad0.0000rad0.0000radVitesse moyenne d'coulement externe0.0000km/hrm/s00.0001km/hrm/s00.0001km/hrm/s00.0001km/hrm/s0[8], p.407km/hr1km/hr1km/hr1km/hr1pi/min0pi/min0pi/min0pi/min0mile/hr0mile/hr0mile/hr0mile/hr00.000m/s0.000m/s0.000m/s0.000m/sTransition laminaire/ turbulent500000-500000-500000-500000-[3], p,267[8], p.337LaminaireReynolds0.000E+00-3.201E+01-3.655E-01-3.201E+01-[3], p.225[8], p.337TurbulentLaminaireLaminaireLaminaireLaminaireReynolds du film0.000E+00-7.242E+01-3.477E-01-7.243E+01-LaminaireLaminaireLaminaireLaminaireNaturelleGrashof du film3.346E+10-7.491E+09-1.403E+04-7.491E+09-[8], p.539Force0-NaturelleNaturelleNaturelleNaturelleGrashof du film ajust (horizontal)0.000E+00-1.170E+08-2.192E+02-1.171E+08-[8], p.551Force0-NaturelleNaturelleNaturelleTransition laminaire/ turbulent1000000000-1000000000-1000000000-1000000000-[8], p.543LaminaireRayleigh du film2.556E+10-1.739E+10-1.310E+04-1.739E+10-[8], p.543, 545TurbulentTurbulentTurbulentLaminaireTurbulentLaminaireRayleigh du film ajust (horizontal)0.000E+00-2.717E+08-2.048E+02-2.717E+08-[8], p.551Turbulent0LaminaireLaminaireLaminaireNombre de Nusselt et coefficient de convectionConvection forceLaminaireTs constant----[8], p.3940.000W/m2*K0.000W/m2*K0.000W/m2*K0.000W/m2*K[8], p.393Convection naturellePlaque horizontaleHaut d'une plaque chaude ou bas d'une plaque froideTs constant0.000-97.156-2.043-97.157-[8], p.5510.000W/m2*K3397.170W/m2*K10.377W/m2*K3397.203W/m2*K[8], p.545Convection naturellePlaque horizontaleBas d'une plaque chaude ou haut d'une plaque froideTs constant0.000-34.665-1.021-34.666-[8], p.5510.000W/m2*K1212.119W/m2*K5.188W/m2*K1212.128W/m2*K[8], p.545Convection naturellePlaque verticale ou obliqueTurbulent ou laminaireTs constant343.267-345.497-5.912-345.501-[8], p.5465.023W/m2*K3020.177W/m2*K7.508W/m2*K3020.210W/m2*K[8], p.545Convection naturellePlaque verticale ou obliqueLaminaire seulement (plus prcis)Ts constant207.961-209.017-6.347-209.019-[8], p.5463.043W/m2*K1827.131W/m2*K8.060W/m2*K1827.146W/m2*K[8], p.545

Chaleur_TuyauTransfert de chaleur tuyauquationRef.Schma???Dimensions des matriaux du tuyaud17.981000pocm0m0po1pi00.2027md28.625000pocm0m0po1pi00.2191md38.626000pocm0m0po1pi00.2191md48.267000pocm0m0po1pi00.2100mr10.1014m[8], p.107r20.1095m[8], p.107r30.1096m[8], p.107r40.1050m[8], p.107Longueur total du tuyau100.00picm0[8], p.107m0km0po0pi1mile030.48mCoefficient de convection intrieur2500.000W/(m2*K)[8], p.107Conductivit thermique du matriau A60.5000W/(m*K)[8], p.107Conductivit thermique du matriau B1000000.0000W/(m*K)[8], p.107Conductivit thermique du matriau C1000000.0000W/(m*K)[8], p.107Coefficient de convection extrieur5.5000W/(m2*K)[8], p.107Emissivit de la paroi extrieure0.90-[8],p.10, 721-724, 929Coefficient de radiation extrieur1.0948W/(m2*K)[8], p.10???Temprature moyenne du fluide l'intrieur du tuyau5.0CC1[8], p.107F0K0R0278.2K5.0C???Temprature du fluide l'extrieur du tuyau-34.0CC1[8], p.107F0K0R0239.2K-34.0C???Radiation incluse dans le calculOui-Oui1Non0???Temprature de l'environnement (radiation)-273.2CC1[8], p.10F0K0R00.0K-273.2C???Temprature de l'environnement (radiation) rel0.0K[8], p.10-273.2C-459.7FVariation de temprature du fluide0.084C[4], p.115; 145Temprature du fluide l'entre5.04C41.08FTemprature du fluide la sortie4.96C40.92FRsistance de convection intrieur0.00002K/W[8], p.91; 107Rsistance de conduction du matriau A0.00001K/W[8], p.106; 107Rsistance de conduction du matriau B0.00000K/W[8], p.106; 107Rsistance de conduction du matriau C-0.00000K/W[8], p.106; 107Somme des rsistances en srie0.00003K/W[8], p.93; 106Rsistance de convection extrieur0.00904K/W[8], p.91; 107Rsistance de radiation extrieur0.04543K/W[8], p.91; 107Perte de chaleur totale10398.21W[8], p.10610.40kW13.94hp35480.15btu/hrPerte de chaleur par convection la surface extrieure4281.55W[8], p.914.28kW5.74hp14609.24btu/hrPerte de chaleur par radiation la surface extrieure6116.66W[8], p.916.12kW8.20hp20870.91btu/hr???Approximation de la temprature de la surface externe du tuyau4.72CC1[8], p.10F0K0R0277.9K4.7CDiffrence entre l'approximation et le calcul0.000CTempratures travers la paroi5.00C41.00F4.79C40.61F4.72C40.49F4.72C40.49F4.72C40.49F-34.00C-29.20F-273.15C-459.67Fpaisseur critique d'isolant (matriau C)18181807.227cm[8], p.109181818.072m7158191.822po596515.985piPression moyenne du fluide l'intrieur du tuyauNApsigkPa0bar0psig1psia0atm00PaMasse volumique du fluide l'intrieur du tuyau999.90kg/m3g/cm30g/m30kg/m31lb/po30lb/pi30oz/gal0999.90kg/m3Chaleur massique du fluide l'intrieur du tuyau4.198kJ/(kg*K)J/(kg*K)0kJ/(kg*K)1Btu/(lb*R)0cal/(g*C)04198J/(kg*K)Dbit du fluide l'intrieur du tuyau0.029513m3/s

EchangeurDimensionnement d'changeurs de chaleur si les coefficients d'change sont connusCt froidCt chaudNoteRef.???Temprature l'entre151.0CC1320.0CC1F0F0K0K0R0R0424.2K593.2K151.0C320.0C???Temprature la sortie215.0CC1300.0CC1F0F0K0K0R0R0488.2K573.2K215.0C300.0CTemprature moyenne456.2K583.2K183.0C310.0CDbit0.57620kg/s1.80000kg/sChangement de phase ?Non-Oui0Non-Oui0Non1Non1Faire le calcul avecCp-Cp1Cp-Cp1S'il y a changement de phase, la mthode de calcul par Cp n'est pas accepte. Utilisez l'enthalpie pour ce fluide.Enthalpie0Enthalpie0Enthalpie l'entretemkJ/kg2775.4kJ/kgEnthalpie la sortietemkJ/kg749.8kJ/kg???Chaleur massique2.300kJ/(kg*K)J/(kg*K)02.356kJ/(kg*K)J/(kg*K)0kJ/(kg*K)1kJ/(kg*K)1Btu/(lb*R)0Btu/(lb*R)0cal/(g*C)0cal/(g*C)02300J/(kg*K)2356J/(kg*K)Chaleur change84816W85kW114hp289404.204744528btu/hrTaux de chaleur massique (C)1325W/K4241W/KTaux de chaleur massique minimum (Cmin)1325W/KTaux de chaleur massique maximum (Cmax)4241W/KEfficacit de l'changeur37.9%-paisseur de la paroi d'change (ex : tube d'un shell & tubes)0.065000pocm0m0po1pi00.0017m???Conductivit thermique de la paroi d'change16.60W/(m*K)W/(m*K)1Btu*inch/(hr*pi2*F)0cal/(s*cm*C)016.60W/(m*K)Coefficient de convection500.0W/(m2*K)1500.0W/(m2*K)???Fouling factor (entartrage)0.0018hr*pi2*F/Btum2*K/W00.0018hr*pi2*F/Btum2*K/W0hr*pi2*F/Btu1hr*pi2*F/Btu1-0-00.000317m2*K/W0.000317m2*K/WRsitance de convection0.00200m2*K/W58.8%0.0007m2*K/W19.6%[8], p.91; 107Rsistance d'entartrage0.00032m2*K/W9.3%0.0003m2*K/W9.3%Rsitance de conduction0.00010m2*K/W2.9%[8], p.91Rsistance totale au transfert de chaleur0.00340m2*K/W100.0%[8], p.93; 106Coefficient de transfert global294.1W/(m2*K)[8], p.93; 106Counterflow - 1 passeParalleflow - 1 passeNoteRef.Delta T1105.0C169.0C[8], p.650Delta T2149.0C85.0CLog mean temperature diff.125.7C122.2CUA674.6W/K693.9W/KSurface d'change moyenne2.3m22.4m2Les surfaces d'change du ct chaud et du ct froid sont considres de mme superficie totale.Bout chaudBout froidBout entreBout sortieFluide ct froid215.0C151.0C151.0C215.0CFouling ct froid276.8C238.6C250.4C265.0CSurface ct froid286.6C252.5C266.2C272.9CSurface ct chaud289.6C256.9C271.1C275.4CFouling ct chaud299.4C270.8C286.9C283.3CFluide ct chaud320.0C300.0C320.0C300.0C285.1Shell & Tubes - 1 Shell & multiples of 2 tube passesNoteRef.Delta T1105.0C[8], p.650Delta T2149.0CLog mean temperature diff.125.7CFluide froid de quel ct ?Shell-Ti151.0C[8], p.653To215.0C[8], p.653ti320.0C[8], p.653to300.0C[8], p.653Facteur R3.20-[8], p.653Facteur P0.12-[8], p.653Facteur F, Figure 11,100.87-[8], p.653Log mean temperature diff. Corrig109.4CUA775.5W/KSurface d'change moyenne2.6m2Les surfaces d'change du ct chaud et du ct froid sont considres de mme superficie totale.Bout Ti & toFluide ct shell151.0CFouling ct shell238.6CSurface ct shell252.5CSurface ct tube256.9CFouling ct tube270.8CFluide ct tube300.0CLgendeValeur entrer manuellementValeur non-applicable selon les conditions choisiesValeur calcule ou fixeValeur qui rend certains rsultats non validesValeur calcule - Condition ou rsultat important