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# Met 212 _3

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### Met 212 _3

1. 1. MET 212 Fluid Mechanics Lecture # 31/15/2013
2. 2. Objective Fluid Pressure Pressure at Point  Basic Equation For Pressure Filed Incompressible Fluid Compressible Fluid Example Pressure Measurement Manometer  Piezometer Tube  U-Tube Manometer  Inclined-Tube Manometer1/15/2013
3. 3. Fluid pressure Pressure at Point z p s x s x θ sp y x z y z` y θ  x y z x  p z x y 21/15/2013
4. 4. 1/15/2013
5. 5. 1/15/2013
6. 6. Basic Equation For Pressure Filed dp   dzThis equation indicate that the pressure gradient in vertical direction is negativethat is the pressure decrease as we move upward in the fluid at reset Incompressible Fluid  ( ρ ) constant  ( g )in most of fluid application is neglected P1   h  p 2 Compressible flow ( ρ ) is not constant  p   RT  g ( z 2  z1 )  P2  p1 exp    1/15/2013  RT 0 
7. 7. Basic Equation For Pressure Filed Open ExampleA tank has a gasoline and water as shown in theFigure. If the SG of gasoline is 0.68 determine thepressure at the gasoline water interface and at the 17 ftbottom of the tank Gasoline Water 3 ft 1/15/2013
8. 8. Pressure MeasurementManometer Manometer has three types: Piezometer Tube U-Tube Manometer Inclined-Tube Manometer1/15/2013
9. 9. Piezometer Tube PA   1 h11/15/2013
10. 10. U-Tube Manometer p A   2 h 2   1 h11/15/2013
11. 11. U-Tube ManometerExample 1/15/2013
12. 12. U-Tube Manometer1/15/2013
13. 13. Oil Mercury h ?? m 0.170.2 m A + h? m 0.3 Water B +