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CE 230-Engineering Fluid Mechanics

CE 230-Engineering Fluid Mechanics. Lecture # 7& 8 Pressure Variation in Static Fluids & its Applications. Pressure variation in a static fluid. Pressure difference between two points in a static fluid is the weight of unit fluid column between them. dp/dz = - γ z +ve up

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CE 230-Engineering Fluid Mechanics

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  1. CE 230-Engineering Fluid Mechanics Lecture # 7& 8 Pressure Variation in Static Fluids & its Applications

  2. Pressure variation in a static fluid

  3. Pressure difference between two points in a static fluid is the weight of unit fluid column between them • dp/dz = -γ z +ve up This equation is valid as long as we are in the same fluid. • Two possibilities • Constant γ • Variable γ

  4. What is the pressure at a depth of 35 ft in the tank?

  5. What is the pressure at the bottom of the tank? S(oil)=0.8

  6. Problem 3.16What is the maximum pressure in the odd tank?

  7. Manometry • Use of pressure change with elevation to determine pressure at a point • Use of pressure change with elevation to determine the difference in pressure between two points

  8. Problem 3.30Find pressure at pipe B.

  9. Problem 3.39Find pressure at pipe A.

  10. Problem 3.31 If the air is under atm. P. the water position is 1.Find P if l=40 cm. Dia ratio=8, density = 800 kg/m3

  11. Determine the weight of the man if the piston weighs 50 lb and area in contact with water is 1.5 ft2 3 ft

  12. Problem 3.42determine the difference in pressure between points A and B.

  13. What if γ is variable? (Compressible fluid) • For air say γ = pg/RT in troposphere T=T0-α(z-z0) • Integrate basic equation to get pressure variation

  14. Figure 3.5 (p. 39)Temperature variation with altitude for the U.S. standard atmosphere in July (2).

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