230844572 Cfd Manual Fluent

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    COMPUTATIONAL FLUID DYNAMICS

    FLUENT

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    1 INTRODUCTION......................................4

    1.1 FLUID DYNAMICS:............................................................4

    1.2 TYPES OF FLOWS:.............................................................4

    1.3 FLOW CLASSIFICATIONS:...............................................6

    2 COMPUTATIONAL FLUID DYNAMICS

    (CFD)..............................................................8

    2.1 COMPUTATIONAL FLUID DYNAMICS:.........................82.2 CFD – Ho !" o#$%:............................................................8

    2.3 APPLICATIONS OF CFD:...................................................&

    2.4 AD'ANTAES OF CFD:....................................................&

    2. LIMITATIONS OF CFD:....................................................1*

    2.6 DISCRETI+ATION.............................................................11

    2., TERMINOLOY:...............................................................1

    2.8 MESH -UALITY:..............................................................1

    2.& STRI'IN FOR -UALITY:..............................................1,

    2.1* RID DESIN:..................................................................18

    2.11 MAIN SOURCES OF ERRORS IN MESHIN:...............21

    2.12 O'ERNIN E-UATION:...............................................212.13 CONTINUITY E-UATION:..............................................22

    2.14 MOMENTUM E-UATION:..............................................23

    2.1 NA'IERSTO/ES E-UATION:........................................23

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    2.16 0OUNDRY CONDITIONS:...............................................24

    2.1, MATERIAL PROPERTIES:...............................................2,

    2.18 SOLUTION METHODS:...................................................28

    2.1& PRESSURE 'ELOCITY COUPLIN:..............................3*

    3 HEAT TRANSFER MODELLIN..........4*

    4 TRANSIENT FLOW MODELLIN.......4,

    CFD EERCISE.......................................2

    .1 F! Fo 5 H75" T#5%7# ! 5 M!9! T77...................2

    .2 L5;!5# P!5"!o.......................62

    .3 F5" P5"7 0o5#? L5?7#...................................................6

    .4 S"75? Fo P5%" 5 C?!7#...............................................6&

    . U%"75? Fo P5%" 5 C?!7#...........................................,1

    .6 S Fo O@7# 5 W77..........................................,4., Co;

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    CHAPTER 1

    1 INTRODUCTION

    1.1.1 FLUID DYNAMICS:

    F! ?5;!>% !% "B7 %>!7>7 o ! ;o"!o. F! o !% >o;;o? %"!7 ! o7

    o "B#77 5?%:

    • E95 ! ?5;!>%.

    •  N;7#!>5?: >o;% (CFD).

    1. EXPERIMENTAL FLUID DYNAMICS (EFD)

    • W! "7% (%=%o!> "#5%o!> % o"#=7>7 !#>5"!o >B57 >5@!"5"!o "7 ;7

     

    2. THEORETICAL FLUID DYNAMICS

    3. COMPUTATIONAL FLUID DYNAMICS (CFD)

      N;7#!>5 5o#!"B;% Co; o%. TB7? 5#7: ! o #55# o.

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      F!#71.2 #55# Fo

    1.1.3 FLOW CLASSIFICATIONS:

    1.3.1. LAMINAR FLOW:

    I" !% "B7 o7 ! B!>B "B7 ! 7%%!@7 >#o%% %7>"!o o "B7 o

    !!% o B5@! B!B @!%>o%!"?.

    1.3.1.2. TURBULENT FLOW:

      I" !% "B7 o7 ! B!>B "B7 ! 7% ;o@7 ! 5 "5=7 7% 5#7

     "5"!o ! "B7 @7o>!"? 5

     #% ! #!@7#% >55% %"#75;% 5"7# 

    %

      I %"75? o @5#!o% >B5#5>"7#!%"!>% o o! !% %>B 5% @7o>!"? B5#5>"7#!%"!>% 5#7 !7>#% B7 5"7# o% "B#oB 5

     B57 !"B #7%" "o "!;7. E. p = p(x,y,z,t). W5@7 ;o@7;7"% ! 5 %75 #7%7;=7% "B7

    %"75? o >75#?.

    1.3.1.5. NEWTONIANS FLUID:

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      TB7 ! B!>B o=7?% NEWTONGS LAW OF 'ISCOSITY( %B75# %"#7%% !% !#7>"?

     B o7% o" o=7?% NEWTONGS LAW OF 'ISCOSITY( %B75# %"#7%% !%

    !#7>"? o;o%"5" ! 5 o !7. Fo# 

    5 "!>5 o;5%7 "B7 B57% B5@7 !""7 77>" o "B7!# @o;7.

    1.3.1.#. COMPRESSIBLE FLOW:

      A o !% %5! "o =7 >o;B57% #o; B57 o B57 o 57 ;"!

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    CHAPTER 2

    2 COMPUTATIONAL FLUID DYNAMICS (CFD)

    2.1.1 COMPUTATIONAL FLUID DYNAMICS:

    Co;% (CFD) !% "B7 %>!7>7 o "! ! o B75"

    "#5%7# ;5%% "#5%7# >B7;!>5 #75>"!o% 5 #75"7 B o@7# "B7%7 7%%7% %! 5 ;7#!>5 7%%.

      TB7 #7%" o CFD 55?%7% !% #77@5" 7!77#! 5"5 %7 !:

    • Co>7o;5 ;o7 o 5 5 "5=7 (7.. %"75?%"5"7 !>o;! "o !;7%!o5). P#o@!7

    5.

    • TB7 >o7>"!o o >7% !% >57 "B7 #!.

    • TB7 %7" o 57=#5!> 75"!o% 5#7 %o@7 ;7#!>5? (o 5 >o;

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    • S?%"7; o 75"!o% 5#7 %o@7 %!;"57o%? "o

    • A7#o?5;!>% o #o @7B!>7% 5!#>#5" ;!%%!7%.

    • F!; >o5"! "B7#;oo#;! ! ;5"7#!5 7%%! 5oo! o% ! =!!%.

    • CB7;!>5 @5"#!.

    • H75" "#5%7# o# 77>"#o!>% $5! 5o;7 ;o#7 $ "#5#o ;75% 7!77#! 5"5 >5 =7 !"#o>7 75#? ! "B7

    7%! 7%%.

      & A++*- * +6*' 7' 08+*+8

    • M5? o 5 B75" "#5%7# 7%%7% >5 o" =7 (75%!?) "7%"7 7..

    B? o.

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    • CFD o!"!o.

      & A++*- * +6*' +' 08+*+8.

    • CFD 5o% #75" >o"#o o@7# "B7 5 7%% 5 o%"5"

    "7;.).

    • CFD 5o% "B7 55?%" "o 795;!7 5 5#7 ;=7# o o>5"!o% ! "B7

    #7!o o !"7#7%" 5 ?!7% 5 >o;B7;!%"#? ;"!5 o? =7 5% 5>>#5"7 5% "B7 5 ;o7% o

    B!>B "B7? 5#7 =5%7.

      & N6'7+0 '777:

    • So@! 75"!o% o 5 >o;7% ;7#!>5 7##o#%.

    • Roo 7##o#: 7 "o !!"7 o# %!7 5@5!5=7 o "B7

    >o;5 =7 %;5

    ! ;o%" >5%7%).

    • T#>5"!o 7##o#: 7 "o 55"!o 7##o#% ! o "o 7#o 5% "B7 #! !% #7!7. M7%B #7!7;7"

    !% o7 5? "o 75 !"B "#>5"!o 7##o#.

      & B687- 08+*+8:

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    • A% !"B 5 ;o7% "B7 5>>#5>? o "B7 CFD %o"!o !% o? 5%

    oo 5% "B7 !!"!5J=o5#? >o!"!o% 5

    ;o7.

    • E95;" !"B %7 79

    #5"B7# "B5 5%%;7 !o#; >o!"!o%.

    2.1.$ DISC%ETI&ATION

      TB7 5#" o %=!@!! 5 %"#>"#7 !"o 5 >o@7!7" ;=7# o %;57# 

    >o;7%. TB7 !%>#7"!7 o;5! !% >57 "B7 K#!G o# "B7 K;7%B.G 77#5

    >o%7#@5"!o ("#5%. 5#7 !%>#7"!7 !"o

    57=#5!> 75"!o%. TB!% !% 77#5? 5#7"!7 E7;7"

      

    2.!.1. GRID:

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      TB7 #! !% o"B! =" "B7 o;5! "B5" !% 7%>#7"!7 !"o 5 !!"7 %7" o >o"#o @o;7%

    o# >7%. TB7 7#77 o #! #7%o"!o !% 5%o 7>7%%5#? "o ! %o"!o o# 5 B

    #7!o o "B7 o;5!.

    TB7#7 5#7 "B#77 !7#7" "?

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    F!#7 2.3 T7"#5 M7%B

     

    2.!.2.2. >UADRILATERAL MESH:

      Fo# %!;7% "B5 5 >o;

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    2.!.2.3. HYBRID MESH:

      TB!% !% "B7 >o;=!5"!o o !7#7" "?? 5 5>>#5>? 5#7

    7B5>7 #75"!@7 "o "7"#5B7#o 5 B795B7#5 ;7%B. I" >o%!%"% o =o"B ;7%B #o"7#% 5;7%B >!7"% ! B!>B =o"B "B7 "?7"7# >7"7# o 5 >7.

    • E7 =o5#? o 5 5>7.

    • F5>7 =o5#? o 5 >7.

    • +o7 #o7% 5 >7%:

      – W5 =o5#? o7.

      – F! >7 o7.

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    • Do;5! #o< o o7 5>7 5 >7 o7%.

     F!#7 2.6 2D 3D C7 T7#;!oo?

    2.1.( MESH )UALITY:

      Fo# "B7 %5;7 >7 >o" B795B7#5 ;7%B7% ! !@7 ;o#7 5>>#5"7 %o"!o% 7%!5?

    ! "B7 #! !7% 5#7 5!7 !"B "B7 o. TB7 ;7%B 7%!"? %Bo =7 B!B 7oB "o

    >5

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      o7% 5 5>7 %B5

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    F!#7 2.8 A%" #5"!o ! M7%B!

    2.1.* ST%I!IN" FO% )UALITY:

      A 7 %!7. Fo# 795;7" >7 %Bo o"

    B5@7 +' 7*+  #75"7# "B5 2*. I %>B 77 *.8.• T#!%: %$77%% %Bo o" 79>77 *.8.• T7"%: %$77%% %Bo o" 79>77 *.&.

      @6' '/8' @ C' >6+*-.

    2.1.1+ "%ID DESI"N:

    2.1%.1. GRID DESIGN GUILDLINES: RESOLUTION

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      TB7 75"#7% o >#5>? >5 =7 ;57. RoB ;7%B! %#5>7 77;7" 75% "o !5>>#5>?.

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      F!#7 2.1* S;oo"B7%% o# #!

    I 5 ;7%B! 77;7" "B7 ;59!;; >B57 ! #! %! ;%" =7 7%% "B5 2*.

    2.1%.3. GRID DESIGN GUILDLINES: TOTAL CELL COUNT

      I "B7 ;=7# o #!% o# >7% 5#7 ;o#7 "B7 "B7 5>>#5>? o "B5" ;7%B! 77;7"

    ! =7 B!B7#. A" "B7 %5;7 "!;7 !" ! !>#75%7 ;7;o#? %57 5 CPU "!;7. TB7#7 5#7 "o

    5?% %7 "o $77< >7 >o" o o7 !% U%7 5 o!o#; #! "o >%"7# >7% o? B7#7

    "B7? 5#7 777 5 o"B7# o7 !% U%7 %o"!o 55o"% %Bo =7 "B7 o#7# o oo!

    • 1E4 5#7 #75"!@7? %;5

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    • 1E6 5#7 5#7. S>B 5 =7 7!>!7"? # %!

    ;"!o;;o ! 57#o%7 5 5"o;o"!@7 5o5#%7.

    • H!B %$77%%.

    • L5#7 ;7%.

    • L5#7 5%" #5"!o%.

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    • I"7#oo#;5 !"7#5>7%.

    • I57 "B7 oo! >o%7#@5"!o 5% o %: 

    • Co%7#@5"!o o ;5%%.

    •  N7"o% %7>o 5: "B7 >B57 o ;o;7"; 75% "B7 %;

    o o#>7% o 5 ! "#7 5 ;o"!o% ;5? =7 !o#7.

    2.12.1. LAGRANGIAN DESCRIPTION:

    TB!% 5B ! o%!%"% o "B7 %5;7 !

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    >o%!7# Bo o 7%.

    F!#7 2.13 E7#!5 Mo7

    2.1.13 CONTINUITY E)UATION:

    TB7 >o"!!"? 75"!o !% o@7#7 #o; "B7 7+80+' 08'7,*+8 . I"

    %"5"7% "B5" *9' 6+ /+8 *9769 *9' +' * 07 '0*+8 7'+8

    08*8* + *9'7' + 8 6+ + ' 7 7',' 7 *9' +'.

    MASS BALANCE:

      R5"7 o !>#75%7 o ;5%% ! ! 77;7" 75% "B7 7" #5"7 o 

    o o ;5%% !"o 77;7". R5"7 o !>#75%7 o ;5%% !% 79"!o !% 75 "o #5"7 o >B57 o ;o;7"; ! "B5" !#7>"!o.

      L!75# !;B57 ! !75# ;o;7";.

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    I 9!#7>"!o !!"!5 !75# !;B 5% #5@!"?

    >7"#!5 Co#!o!% 5 77>"#o;57"!> o#>7%.

    2.1.1# NA!IE%,STO-ES E)UATION:

    TB7 75"!o% o ;o"!o% !"Bo" >o%!7#! o#>7 7 "o "#=7>7 5

    >o%!7#! "B7 #5@!"? o%!"? o#>7% 5#7 $o 5% 5@!7#%"o$7% 75"!o.

     

    F9 (F)9 V (F "!o.

      FY (F)? V (F "!o.

      F+ (F)  V (F "!o.

    B7#7 F – #5@!"? o#>7.

      F o% o#>7. 

    A"BoB TB7 N5@!7#S"o$7% 75"!o% o#; 5 >oo%7#@5"!o o ;5%% ;o;7"; 5 77#? o# 5 !. Fo# 

    5 N7"o!5 ! ! o7 !;7%!o "B7? >5 =7 #!""7 5%

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     ρ !% "B7 ! 7%!"? u !% "B7 @7o>!"? e !% "B7 "o"5 77#? o>"!@!"?. TB7

    "o"5 77#? e !>7% !"7#5 77#? o!"!o% 5#7 5 #7!#7 >o;5 ;o7. TB7

     =o5#!7% !#7>" ;o"!o o o. TB!% ! =7 %!? "B7 97% !"o "B7 >o;7

    o7%. 0o5#? >o!"!o% 5#7 5 #7!#7 >o;5 ;o7.

    0o5#!7% 5 !"7#5 %#5>7% 5#7 #7

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    F!#7 2.14 P!B7" =o5#? >o!"!o o7 #!=7% "B7 @57 o 5 @5#!5=7 5"

    "B7 =o5#? 7.. u(x) = "o#$ta#t . WB7 %! 5 N7;5 =o5#? >o!"!o o7

     #!=7% "B7 #5!7" o#;5 "o "B7 =o5#? o 5 @5#!5=7 5" "B7 =o5#? 7.. #u(x) =

    "o#$ta#t . WB7 %! 5 ;!97 =o5#? >o!"!o 5 >"!o o "B7 o#; au(x)%&u(x) =

    "o#$ta#t !% 5o!"!o% "?5"7% o;5%7%. TB7 =o5#? 5"5 #7!#7 7"7. So;7 o "B7

    !7!7% 5#7 ;7"!o7 =7o B!>B !% %7 o# >Boo%! !7" 5 o"7" >o!"!o%.

    • S77>" =o5#? o>5"!o 5 %B5B "B5" o 7!"B7# o7% !

    o# o". No" ;55"o#? =" ! "?5? #7%" ! =7""7# 

    >o@7#7>7.

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    •   SBo o" o=%7#@7 5#7 #5!7"% ! !#7>"!o o#;5 "o

     =o5#? 75# !7"% 5 o"7"%. TB!% !!>5"7% 5 !>o##7>"

     5"!o.

    • M!!;!7 #! %$77%% 75# =o5#?

    .

    2.1!.3. PRESSURE BOUNDARY CONDITIONS:

    P#7%%#7 =o5#? >o!"!o% #7!#7 %"5"!> 57 o!7 o 77% "o =7 7!7.

     

    F!#7 2.1 P#7%%#7 7@7%

    2.1!.4. @ELOCITY INLETS:

    '7o>!"? !7"% 7!7% @7o>!"? @7>"o# 5 %>55# !"? o;o;5 75 "o o5 #7%"%. Do" $77< 5 @7o>!"? !7" "oo >o%7 "o 5

    %o! o=%"#>"!o. TB!% ! 75 "B7 %o"!o "o =7 o5.

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    2.1!.5. OUTFLOW BOUNDARY:

    O"o =o5#? >o!"!o% 5#7 %7 "o ;o7 o 79!"% B7#7 "B7 7"5!% o "B7

    o @7o>!"? 5 o7!>!7"% "o ;B 5% 7%!"? @!%>o%!"? ;o7>5# 7!B" "B7#;5 >o>"!@!"?

    !%!o >o7!>!7"%. WB!>B o%"5" ( >o%"5"). I >5%7 o >o;!!7 >"!o%. Ho7@7# o# B!B M5>B ;=7# o% %! "B7 >o

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    2.1.1( SOLUTION METHODS:

    2.1#.1. FINITE ELEMENT METHOD:

    TB!% !% 5 ;7#!>5 ;7"Bo o# %o@! 5

    55?%!%. I "B!% ;7"Bo 5 =o? o# 5 %"#>"#7 ! B!>B "B7 55?%!% "o =7 >5##!7 o" !%

    %=!@!7 !"o %;57# 77;7"% o !!"7 !;7%!o% >57 !!"7 77;7"%. TB7 "B7 =o? !%

    >o%!7#7 5% 5 5%%7;=57 o "B7%7 77;7"% >o7>"7 5" 5 !!"7 ;=7# o o!"% >57

    8' o# No5 B5!>% 5 %"#>"#5

    ;7>B5!>% o!"!o% 5@5!5=7. I" o#$% 7 o# "o !;7%!o5 #7!o% !"B

     =o5#!7% oo#!5"7 597%.

    TB7 o;5! !% !%>#7"!7 !"o 5 %7#!7% o #! "#7G ;7%B !% #7!#7.TB7 o@7#! 75"!o% (! !7#7"!5 o#;) 5#7 !%>#7"!7 (>o@7#"7 "o 57=#5!> o#;).

    F!#%" 5 %7>o 7#!@5"!@7% 5#7 5"

    "o #!"7 77#5 >o;

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    2.1#.3. FINITE @OLUME METHOD:

    TB7 =5%!> !75 o 5 !!"7@o;7 ;7"Bo !% "o %5"!%? "B7 !"7#5 o#; o "B7

    >o%7#@5"!o 5 "o %o;7 7#77 o 5o"#o

    @o;7% B!>B >o@7# "B7 o;5! o !"7#7%". TB!% ;7"Bo 5% 5""#5>"!@7 =7>5%7 B!7

    @5#!5=7% ;5? o" =7 >o"!o%? !7#7"!5=7 5>#o%% %Bo>$% 5 o"B7# !%>o"!!"!7%

    ;5%% ;o;7"; 5 77#? 5#7 55?% >o%7#@7.

    AD@ANTAGES:

    • TB!% ;7"Bo o7% o" !;!" >7 %B5B57 ! "B7 @5#!5=7 #o; o7 !"7#5"!o "o

    "B7 79" =7>o;7% %o %;5 "B5" "B7 %o"!o >5 =7 >o%!7#7 >o@7#7. A" >o@7#7>7 5

    !%>#7"7 >o%7#@5"!o 75"!o% (;o;7"; 77#? 7">.) 5#7 o=7?7 ! 5 >7% "o 5%!!7 "o7#5>7 "B7 %o"!o o o7# >B57% !"B 5!"!o5 !"7#5"!o%. M5%%

    ;o;7"; 77#? 5 %>55# =55>7% 5#7 o="5!7. R7%!5% ;75%#7 !;=55>7 (o# 7##o#)

    ! >o%7#@5"!o 75"!o%. TB7 oo! "B!% %Bo =7 >o%!7#7 B!7 >o@7#7>7

    • A5?% 7%#7 7 =7o#7 %! 5 %o"!o. >o@7#7

    %o"!o% >5 =7 ;!%75!.

    • So"!o% 5#7 >o@7#7 B7 "B7 o !7 5 %>55# !7% 5#7 o o7# 

    >B5!.

    2.1#.5. MONITOR RESIDUALS:

    I "B7 #7%!5% B5@7 ;7" "B7 %!!7 >o@7#7>7 >#!"7#!o =" 5#7 %"! 7>#75%!

    "B7 %o"!o ;5? o" ?7" =7 >o@7#7. I "B7 #7%!5% 7@7# ;77" "B7 >o@7#7>7 >#!"7#!o

     =" 5#7 o o7# 7>#75%! 5 o"B7# %o"!o ;o!"o#% o o" >B57 7!"B7# "B7 %o"!o !%

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    >o@7#7. F!5 #7%!5% 5#7 o"7 B!B7# !"B B!B7# o#7# !%>#7"!5"!o %>B7;7% "B5

    !"B !#%" o#7# !%>#7"!5"!o. TB5" o7% o" ;75 "B5" "B7 !#%" o#7# %o"!o !% =7""7#.

    R7%!5% >5 =7 ;o!"o#7 #55? 5%o.

      F!#7 2.16 Mo!"o# R7%!5%

    2.1.1* P%ESSU%E !ELOCITY COUPLIN":

    P#7%%#7 5 75"!o o# 

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    "B7 o##7>"!o  p' !% 7#!@7 ! 5 o#; %!;!5# "o "B7 75"!o% 7#!@7 o# "B7

    >o@7>"!o!%!o 75"!o%:

      5 

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    TB7 !7#7>7% 5#7 ! %B 5o#!"B; !% 5%"7%" 7o

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    WB7#7 *  "!;7 %"7"7#!5"!o o T#=7" Fo%

    F#o; N5@!7#S"o$7% E5"!o% "o R7?o%A@7#57 N5@!7#S"o$7% (RANS) Mo7%

    R7?o% S"#7%% T7%o# 5 "B7 Co%#7 P#o=7;

    T#=7>7 /!7"!> E7#? ( ) E5"!o

    E? '!%>o%!"? Mo7% (E'M)

    R7?o% S"#7%% Mo7 N75#5 T#75";7"% O7 Mo7! !7!7%

    A% o T#=7>7

    IB7#7"? %"75? "B#77 !;7%!o5 5 5 %!#! ;o"!o% (>"5"!o%)

    #7%"! ! 7B5>7;7" o ;!9! B75" "#5%7# 5 %B75#.

    I%"5"57o% >"5"!o% 5#7 #5o; ("5=7) =o"B ! %7 5 ! "!;7. 0"

    %"5"!%"!>5 5@7#5! o "#=7>7 >"5"!o% #7%"% ! 5>>o"5=7 "#5%57% (@o#"!>7% o# 7!7%) 79!%" ! 5 "#=7" o% (#o; @7#?

    %;5 "o @7#? 5#7).

    '7#? %7%!"!@7 "o (o# 7o!"!o%.

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    U%"75? 5 ;o"!o ! B!>B 5 "B#77 @7o>!"? >o;o;!"? !"o ;75 5 >"5"!

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    2.21.2. TRANSITION IN KET FLOW:

      F!#7 2.1& T#5%!"!o ! Z7" Fo

    2.21.3. TURBULENT FLOW CORRELATIONS:

    EXTERNAL FLOWS:

    R79 [ \1* 5o 5 %#5>7.

    R7D [ 2**** 5#o 5 o=%"5>7.

    INTERNAL FLOWS:

    R7D [ 122**

    WB7#7 R7L  ULJ ]

      L 9 D DB 7">.

     WB7#7 R7 – R7?o% ;=7#.      ^  D7%!"? o !.  U ^  '7o>!"? o !.  L ^  L7"B o "=7.      ^  '!%>o%!"? o !.  D ^  D!5;7"7# o "=7.

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    2.21.4. TURBULANT BOUNDARY LAYER:

    I "#=7" o "B7 =o5#? 5?7# !% 7!7 5% "B7 "B! #7!o o "B7 %#5>7 o 5

     =o? ! B!>B @!%>o% 77>"% 5#7 !;!"? U "o 5 @7o>!"? o 7#o 5" "B7 5. TB7 @7o>!"? >o;#o%% "B7 5?7# 5#7 ;>B #75"7# "B5 "B7 #5!7"% ! "B7 o !#7>"!o. TB7

     =o5#? 5?7# "B!>$7%% !% 7!7 5% "B7 !%"5>7 55? #o; "B7 %#5>7 B7#7 "B7

    @7o>!"? #75>B7% && o "B7 #77%"#75; @7o>!"?.

      - /9'7' 6U %.$$.

    WB7#7 5# ? 5"7# "B!>$7%%. 6@7o>!"? o !.

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    F!#7 2.2* T#=7" 0o5#? L5?7# 

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    2.21.5. RANS M' D'07+*+8 8 B'9,+7 S67-

    Mo7 D7%>#!o%!"?.

    D7%!7 %!!>5? o# 57#o%7 5o5#%7# ;7%B7%.

    O7 %"#5! #5"7 ! $ "!o "7#; !;5

    o%.S"55# $–_ TB7 =5%7!7 "o"#5%!7"% 5#7 7;5? 7#!@7 @5! o# ? "#=7" o% o?.

    O>o" o# @!%>o% B75"! =o?5>? 5 >o;B57% ! "B7 _ 75"!o !;5 >o%"#5!"% "o =7 o=7?7 B!>B "!;5"7? !; !%%!o9 (1&&8). TB!% !% "B7 75" $–` ;o7. D7;o%"#5"7% %o" o# "#5%!"!o5 #77 %B75# 5 >o;o9 ;o7 o# %7

    75# 5% 5 "B7 %"55# $–_ ;o7 55? #o; 5% %! 5 =7! >"!o.

    A%o !;!"% "#=7" @!%>o%!"? "o 5#5"77 "B5" aT b $. TB7 "#5%!"!o 5 %B75#!

    oo;o%!"? 5%%;

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    S %"!7%.RN $–_ S!"5=7 o# >o;@o#"!>7% 5 o>5? "#5%!"!o5 o% (7.. =o5#? 5?7# %7o;B!7#?). C5 =7 %7 o# "#5%!"!o5 o% ("BoB "7% "o "

    75#? "#5%!"!o). S7"7 "o =7 79>7%%!@7 5 75#?.SST $–` O7#% %!;!5# =77!"% 5% %"55# $–`. D7? o 5 !%"5>7

    ;5$7% "B!% 7%% %!"5=7 o# #77 %B75# o%.R7?o% S"#7%% PB?%!>5? "B7 ;o%" %o RANS ;o7. A@o!% !%o"#o 7? @!%>o%!"?

    5%%;o%7 >oo;

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    3 HEAT TRANSFER MODELLING

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      Page 43 of 82

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    4 TRANSIENT FLOW MODELLING

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    5 CFD EXERCISE

    5.1.1 F6+ F/ 8 H'* T78'7 +8 M++8 T''

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      Page 59 of 82

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      Page 61 of 82

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    5.1.2 L+87 P+' F/ P7' S'0++0*+8

    • P7' S'0++0*+8

    • Co%!7# ! o! "B#oB 5 >!#>5# o%"5" #5!% 5% !%"#5"75=o@7. TB7

    • TB7 !7" @7o>!"? +  z  1 ;J%. Co%!7# "B7 @7o>!"? "o =7 >o%"5" o@7# "B7!7" >#o%%%7>"!o.

    •  TB7 ! 79B5%"% !"o "B7 5;=!7" 5";o%B !% 5" 5 o7!>!7" o @!%>o%!"? - = 2 x 103 g! ($). TB7 R7?o% ;=7# /e =5%7 o "B7 !"? 5" "B7 !7" B!>B !% 1 ;J% ! "B!% >5%7.

    So@7 "B!% B. Po" "B7 >7"7#!7 @7o>!"? 5%$!#!>"!o >o7!>!7" 5 @7o>!"? o%Mo7 OB57% 5#7 777. C!>$ Cancel   "o 79!" "B7 ;7. No "B7 E7#? Mo7 Edit.... Fo# !>o;o!>$ Cancel  "o 79!" "B7 ;7.

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    D'+8' M*'7+ P7'7*+'

     No "B7 #75"75 7 ! $Clic%& Materials > 'luid > Create(Edit... 

    I "B7 Create(Edit Materials ;7 %7" "B7 Density "o 1$J;c3 (>o%"5") 5 %7" "B7Viscosity "o 273 $J(;%) (>o%"5")

    C!>$ C)ane(Create. Co%7 "B7 !o.

    D'+8' B687- C8+*+8

    A" "B!% o!"!o% o# "B7 o# *amed Selections ! =7 %!!7. TB7

     =o5#? >o!"!o o# "B7 #et  ! =7 %!!7 !#%".I8'* B687- C8+*+8

    I o#7# "o %"5#" "B7 7%% $Clic%& +oundary Conditions > inlet > Edit... 

     No"7 "B5" "B7  +oundary Condition ,ype  %Bo B5@7 =77 5"o;5"!>5? %7" "ovelocity-inlet . No "B7 @7o>!"? 5" "B7 #et  ! =7 %!!7. I "B7 Velocity nlet  ;7 %7""B7 Velocity Speci"ication Met)od  "o Components 5 %7" "B7 Axial-Velocity $m(s& "o 1 ;J%

    TB7 >!>$ !  "o >o%7 "B7 Velocity nlet  ;7.

    O6*'* B687- C8+*+8

    F!#%" %77>" outet  ! "B7 +oundary Conditions ;7

    A% >5 =7 %77 ! "B7 !;57 5=o@7 "B7 ,ype %Bo B5@7 =77 5"o;5"!>5? %7" "o pressure-outlet . I "B7 ,ype !% o" %7" "o pressure-outlet  "B7 %7" !" "o pressure-outlet . Noo #"B7# >B57% 5#7 777 o# "B7 outet  =o5#? >o!"!o.

    C'8*'7+8' B687- C8+*+8

    S77>" "e#te#e ! "B7 +oundary Conditions ;7A% >5 =7 %77 ! "B7 !;57 5=o@7 "B7 ,ype B5% =77 5"o;5"!>5? %7" "o /all  B!>B

    !% o" >o##7>". CB57 "B7 ,ype "o axis

    WB7 "B7 !5o =o97% 5$ 0es "o >B57 "B7 =o5#? "?!>$ !  "o 5>>7

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    P+' W B687- C8+*+8

    F!#%" %77>" ppea  ! "B7 +oundary Conditions ;7

    So"!o

    S7>o O#7# S>B7;7

    A %7>oo#7# !%>#7"!5"!o %>B7;7 ! =7 %7 "o 5!>$ o outo# eto$ "B7 >!>$ o oe#tu 5 %77>" e"o# :e ;p# .

    S7" I!"!5 7%%

    H7#7 "B7 o !7 ! =7 !!"!5!7 "o "B7 @57% 5" "B7 !7". I o#7# "o >5##? o" "B7!!"!5!5"!o >!>$ o Solution nitiali1ation "B7 >!>$ o Compute "rom 5 %77>" inlet .

    TB7 >!>$ "B7 nitiali1e =""o . TB!% >o;

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    5.1.3 F* P*' B687- L-'7

    • Co%!7# 5 ! o! 5>#o%% 5 5" 7 "B7 o"7# =o5#?. A #7>"55# o;5! ! =7 %7 o# "B!% %!;5"!o.

    • TB7 B7!B" o "B7 #7>"55# o;5! ! =7 7"7#;!7 =? "B7 79"7 =o5#?5?7# "B!>$7%%.

    • Fo# 5 5" $7%%.

    WB7 9 L *.*;.

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    • TB7 B7!B" o "B7 o;5! ! =7 %7" "o "7 "!;7% "B7 =o5#? 5?7# "B!>$7%%. TB%"B7 B7!B" o "B7 =o5#? ! =7 %7" "o *.;. TB7 oo! !#7 %Bo% "B7

    !;7%!o% o "B7 o;5! 5 "B7 =o5#? 5=7% B!>B ! =7 %7 "o %7" "B7 =o5#? >o!"!o%.

    1.ef#e oe Popete$

    I "B!% %7>"!o "B7 @5#!o% %o@7# $ o Solution Met)ods "B7 >!>$ o Momentum 5 %77>" Second !rder 6p/ind..

     Page 66 of 82

    https://confluence.cornell.edu/display/SIMULATION/FLUENT+-+Flat+Plate+Boundary+Layer+-+Problem+Specificationhttps://confluence.cornell.edu/display/SIMULATION/FLUENT+-+Flat+Plate+Boundary+Layer+-+Problem+Specificationhttps://confluence.cornell.edu/display/SIMULATION/FLUENT+-+Flat+Plate+Boundary+Layer+-+Problem+Specification

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    4.2 S'* C8,'7'80' C7+*'7+

    FLUENT #7B o@7#!75"!o. W7 !"7#5"7 "B7 %o"!o "! "B7 #7%!5 o# 75>B 75"!o 5% =7o 176. I

    o#7# "o %!? "B7 #7%!5 >#!"7#!5

    $Clic%& Monitors > esiduals > Edit....

     N79" >B57 "B7 #7%!5 7# Converence Criterion o# continuity x-velocity5 y-velocity 5 "o 176 5% >5 =7 %77 =7o.

    L5%"? >!>$ !  "o >o%7 "B7 esidual Monitors ;7.

    4.3 S'* I8+*+ G6'

    H7#7 "B7 o !7 ! =7 !!"!5!7 "o "B7 @57% 5" "B7 !7". TB5" !% "B7 !!"!5 @57% o5 "B7 >7% ! =7 %7" "o 1 ;J% 5 * P5 o# 9 @7o>!"? 5 57 5##? o" "B7 !!"!5!5"!o >!>$ o Solution nitiali1ation "B7 >!>$ o Compute "rom 5 %77>" inlet  5% %Bo =7o.

    5. R'6*

    .1O"7" '7o>!"? P#o!7

    I "B!% %7>"!o 7 ! !#%" o;!"? 5o "B7o"7". TB7 7 ! o; 5lots > 70 5lot... > Set 6p.. 5% %Bo =7o.

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    W7 >#75"7 5 %"#5!B" @7#"!>5 !7 #o; (9*?*)(*.*) "o (91?1)(*.*.). S77>"  Line,ool   7# !ptions. E"7#  x8*.  y8* x4*.  y4*.. E"7# !71 7#  *e/ Sur"ace *ame. Yo#  Line(a%e Sur"ace  ;7 %Bo oo$ 795>"? !$7 "B7 oo! !;57.

     N79" >!>$ Create. No "B5" "B7 @7#"!>5 !7 B5% =77 >#75"7 7 >5 77 "o "B7 $ o 5lots "B7 o=7 >!>$ 70 5lot  "o o"!o 5=o@7 79>7"!o%. M5$7 %#7 "B5" 9rite to 'ile!% o" %77>"7 "B7 >!>$  5lot . Yo %Bo o="5! "B7 oo! o"

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    5.1.4 S*'- F/ P* C-+8'7

    P7' S'0++0*+8

     

    • Co%!7# "B7 %"75? %"5"7 >5%7 o 5 ! o! o;o;!"? !% %7" "o 1 ;J% 5 "B7 7%!"? o "B7 ! !% %7" "o 1$J;c3. TB% "B7 ?5;!> @!%>o%!"? ;%" =7 %7" "o *.* $J;e% ! o#7# "o o="5! "B77%!#7 R7?o% ;=7#.

     P7'A8-+ Q S*7*U

    P#!o# "o oo!"!o% 5#7.

    S6*+8 D+8

    Fo# 5 79"7#5 o !#>5# o;5! ! =7 %7 o# "B!% %!;5"!o. TB7 77>"% "B5" "B7>?!7# B5% o "B7 o 79"7 5#. TB% "B7 o"7# =o5#? ! =7 %7" "o =7 64 "!;7% 5%

    5#7 5% "B7 !5;7"7# o "B7 >?!7#. TB5" !% "B7 o"7# =o5#? ! =7 5 >!#>7 !"B 5!5;7"7# o 64 ;. TB7 %o"!o o;5!!%>%%7 B7#7 !% !%"#5"7 =7o.

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    B687- C8+*+8

    F!#%" 7 ! %!? 5 @7o>!"? !7" =o5#? >o!"!o. W7 ! %7" "B7 7" B5 o"B7 o"7# =o5#? 5% 5 @7o>!"? !7" !"B 5 @7o>!"? o 1 ;J% ! "B7 9 !#7>"!o. N79" 7! %7 5 o!"!o o# "B7 7" B5 o "B7 o"7# =o5#? !"B 5

    57 ?!7#5. TB7 5o#7;7"!o7 =o5#? >o!"!o% 5#7 !%"#5"7 =7o.

    S'*6 (P9-+0)

    D6' P7'0++8:S77>" Dou3le 5recision.

    S6*+8: S'08 O7'7 U/+8 M'8*6 S09''

     Solution > Solution Met)ods > Spatial Discreti1ation.S7" Momentum "o Second !rder6p/ind 

    C8,'7'80' C7+*'7+8

     Solution > Monitors > esiduals > Edit....S7" "B7 A3solute Criteria o#  x-velocity 5 y-velocity 5 "o 176. C!>$ o% 

     Solution > Monitors > Dra > Edit....TB7 >B7>$ 5rint to Console 5 5lot . N79" >!>$cylinder/all  B!>B !% o>5"7 7# 9all :ones. L5%"?>!>$ o% 

     R7%"%'o#"!>!"?:R7%"% f #5% 5 A!;5"!o% f Co"o#%f S7" U

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    • Co%!7# "B7 %"75? %"5"7 >5%7 o 5 ! o! o;o;!"? !% %7" "o 1 ;J% 5 "B7 7%!"? o "B7 ! !% %7" "o 1 $J;c3. TB% "B7?5;!> @!%>o%!"? ;%" =7 %7" "o 8.33391*c3 $J;e% ! o#7# "o o="5! "B7 7%!#7R7?o% ;=7#.

    • Fo# "B!% U%"75? C5%7 "B7 o@7#! 75"!o =7>o;7% o !75# 7 "o "B75!"!o o 5 "!;7 7#!@5"!@7 "7#;:

    • TB7 ;7"Bo% !;5%7. I "B!% >5%7 "B7 o;5! 5 =o5#?>o!"!o% ! =7 "B7 %5;7 5% "B7 S"75? Fo P5%" 5 C?!7#.

    • Ho7@7# =7>5%7 "B!% !% 5 "#5%!7" %?%"7; !!"!5 >o!"!o% 5" "* 5#7 #7!#7. To

    %o@7 "B7 %?%"7; 7 77 "o !o@7#7>7 o# 5 !;!" o !"7#5"!o% !% #75>B7 "B7 ! 77 "o "B7 79" "!;7 %"7B!d "B#oB "!;7 "! "B7 7 "!;7 !% #75>B7.

    1. S'*6 (P9-+0)

    D5"7 S"75? Fo P#o7>"

    F!#%" >o; Duplicate

    L5>B F7".

    $Dou3le Clic%& Setup ! "B7 5"7 ". S77>" Dou3le 5recision. TB7 >!>$ ! 

    T#5%!7"

    I "B!% %"7< B7#7 7 ! "7 FLUENT "o %o@7 o# "B7 %"75? o. A% ?o >5 %77 =?75" FLUENT ! %o@7 o# "B7 %"75? o.

     Po&e etup > ?e#ea . S'* Te * Ta#$e#t .

      Page 71 of 82

    https://confluence.cornell.edu/display/SIMULATION/FLUENT+12.1+-+Steady+Flow+Past+a+Cylinder+-+Problem+Specificationhttps://confluence.cornell.edu/display/SIMULATION/FLUENT+12.1+-+Steady+Flow+Past+a+Cylinder+-+Problem+Specificationhttps://confluence.cornell.edu/display/SIMULATION/FLUENT+12.1+-+Steady+Flow+Past+a+Cylinder+-+Problem+Specification

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    S!? M5"7#!5 P#o$ C)ane(Create "B7 >!>$ close

    2. So"!oCo@7#7>7 C#!"7#!o: T# o D#5 T# o L!"

     Solution > Monitors > Dra > Edit.... TB7 >B7>$ 5rint to Console 5 >B7>$ 5lot .C!>$ o% .

     Solution > Monitors > Li"t > Edit.... TB7 >B7>$ 5rint to Console 5lot  5 9rite. C!>$ o% .TB7 5%" oo7!>!7" 5"5 "o 5 !7 "B5" !% =#!7 ! o7 o "B7 %=o7#%"B5" FLUENT >#75"7% ! "B7 o#$! o7#. Yo B5@7 "o ! 5#o "o ! !".

    So"!o I!"!5!5"!o

     Adapt > eion.... TB7 %7" 7 Min "o *. ; %7" 7 Max  "o 32 ; %7" 0 Min "o * ; 5 %7" 0 Max  "o 32;. C!>$ Mar%  "B7 >!>$ Close.

     Solution > Solution nitiali1ation. S7" Compute 'rom "o "ar"ield4.. C!>$ nitiali1e. N79">!>$ 5atc). Co;!>$ close.

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      Page 72 of 82

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