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