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8/17/2019 II. Fluid Statics
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FLUID STATICSDr. Novia ST., MT.NIP. 19731105 200003 2003
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The application of Newton’s law of motion
can be applied to uid at rest
F ! m " a
For a simple uid at rest# the pressure is
the same in all directions There are no shear stress in a uid at rest
Introduction
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Consider a small bloc$ of uid that is part ofa lar%e mass of uid at rest in a %ra&it'(eld"
Since the uid is at rest# there are are noaccelerations# and the sums of the force onan' part of the uid in an' direction is )ero"
The *asic +,uation of FluidStatics
∆y
z=0
z= ∆z
∆z
∆x
z y
x
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Considr !" z dir#!ion, o$$osi! !o !"dir#!ion o% &ravi!y.
T" %or#s !"a! a#! on !" s'a(( )(o#* o%+id in !" z dir#!ion ar !" $rssr%or#s on !" !o$ and )o!!o'- and !" %or#o% &ravi!y a#!in& on !" 'ass o% ('n!.
T"ir s' is
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Dividin& /x /y /z, &iv
i'i! !o /z a$$roa#" zro
*A-./+T-IC +0UATI.N
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Ideal 3ases
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2-+SSU-+ F.-C+S .NSU-FAC+S
2ressure 4 Surfacearea ! constant
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*U.5ANC5
"
y
x
z
(oa!in& )(o#* o% 4ood
*uo'ant Force6 The &erticalcomponent of thepressure force
inte%rated around theentire sureface of aoatin% bod'7
Cos 8 !9 top: !19 bottom
(
Di'ana
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Prssr sa((y ar 'asrd )y (!!in&!"' a#! a#ross so' ara and o$$osin&
!"' 4i!" i!"r &ravi!y %or# or !" %or#o% a #'$rssd s$rin&
ravi!y6%or# '!"od Mano'!r
2-+SSU-+ /+ASU-+/+NT
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/anometer is open to the atmosfer at A
3AS D
C
*
A ; ft
9 ft
9
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r:a*an soa( 2.17 ; 2.39, 2.
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-+F+-+NC+S
1. C. . an*o$(is, Trans$or! Pro#ss and >ni!?$ra!ions, @disi *63, Prn!i#6Aa((, In#.,@n&(4ood C(iBs, N4 rsy, 1993
2. . . Ao((and dan . ra&&, (id (o4 %or C"'i#a(@n&inrs, @disi *62, @d4ard rno(d, ondon, 1995
3. . . M#Ca), . C. S'i!" dan P. Aarrio!, >ni!?$ra!ions o% C"'i#a( @n&inrin&, @disi *65,M#ra46Ai(( oo* Co. In#., N4 Eor*, 1993