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Mer331 Fluid Mechanics Final Exam Equation Sheet, Cheat Sheet of Fluid Mechanics

integral form of equations of motion, differential forms of equation of motion

Typology: Cheat Sheet

2020/2021

Uploaded on 04/23/2021

magicphil
magicphil 🇺🇸

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Mer331 Fluid Mechanics Final Exam Equation Sheet
gVFg
dh
dP
dy
du
gR
RTPSG
fB
H
ForceBuoyancy :Equation cHydrostati:Viscosity of Law sNewton'
cos
2
riseCapillary :Law gas Ideal :gravity Specific
20
Some mass moments of inertia:
Property Values (20 oC) (
viscositykinematic )
air = 1.8 x 10-5 kg/ms water = 1 x 10-3 kg/ms seawater = 1.1 x 10-3 kg/ms
air =1.2 kg/m3 water =1000 kg/m3 seawater =1020 kg/m3
pf3
pf4

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Mer331 Fluid Mechanics Final Exam Equation Sheet

g F gV dh

dP dy

du

gR SG P RT

B f

H

   

    

  

  

Newton'sLawofViscosity: HydrostaticEquation: Buoyancy Force

Specificgravity: IdealgasLaw: Capillaryrise^2 cos 20

Some mass moments of inertia:

Property Values (20 o^ C) ( kinematicviscosity^   )

air = 1.8 x 10-5^ kg/ms water = 1 x 10 -3^ kg/ms seawater = 1.1 x 10-3^ kg/ms

air =1.2 kg/m^3 water =1000 kg/m^3 seawater =1020 kg/m^3

INTEGRAL FORM OF EQUATIONS OF MOTION

RTT:

Conservation of Mass:

Conservation of Linear Momentum:

Vector Form:

Scalar Form:

Energy Equation (Modified Bernoulli):

ଶ 2 ݖ ݃൅^ ଵ^ ቇ െ ቆܲ^

ଶ ߩߙ ൅^ ܸଶ

ଶଶ 2 ݖ ݃൅^ ଶ^ ݄݃ൌ ቇ^ ௅,்

݄ ௅,் ݂ൌ ஽௅௏^

మ ଶ௚ ݇Σ ൅^

௏ మ ଶ௚