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流体力学与工程教学课件 Chapter 2 Fluid Statics.ppt

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Chapter 3 Fluid Statics
Direction of Pressure
Along the inward normal direction of fluid surface
Magnitude of Pressure
py
pz
px
x
y
z
pn
Pressure Properties of Static Fluid
The pressure values at any point in a static fluid are the same in all directions.
Balance Equation of Static Fluid
Similarly,
fx
Differential Pressure Formula (Euler balance differential Equation)
rectangular coordinate system
cylindrical coordinate system
The equal pressure surface
Conclusion: The mass force is perpendicular to the equal pressure plane.
Pressure of Static Fluid in Gravity Field
pressible Fluid

The equal pressure plane
g
8
Boundary Condition:
Euler Equilibrium Equations:
Conclusion: The equal pressure plane is horizontal
9
Pressure at free surface
Pressure due to weight on top
Any point with the same depth h under free surface has the same pressure.
Equipressure surface(等压面)
Free surface is an equipressure surface
pressible fluid

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