ME330_S07_HWSet5C - 5-28C Solution We are to define and...

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ME 330 Fluid Mechanics Spring 2007 Department of Engineering Western Kentucky University CHAPTER 5C HW - Homework Solutions Problem #’s 5-26C, 5-27C and 5-28C, Due March 2, 2007 5-26C Solution We are to express the Bernoulli equation in three different ways. Analysis The Bernoulli equation is expressed in three different ways as follows: (a) In terms of energies: constant 2 2 = + + gz V P ρ (b) In terms of pressures: constant 2 2 = + + gz V P (c) in terms of heads: constant 2 2 = = + + H z g V g P Discussion You could, of course, express it in other ways, but these three are the most useful. 5-27C Solution We are to discuss the three major assumptions used in the derivation of the Bernoulli equation. Analysis The three major assumptions used in the derivation of the Bernoulli equation are that the flow is steady , there is negligible frictional effects , and the flow is incompressible . Discussion If any one of these assumptions is not valid, the Bernoulli equation should not be used. Unfortunately, many people use it anyway, leading to errors.
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Unformatted text preview: 5-28C Solution We are to define and discuss static, dynamic, and hydrostatic pressure. Analysis Static pressure P is the actual pressure of the fluid . Dynamic pressure V 2 /2 is the pressure rise when the fluid in motion is brought to a stop isentropically . Hydrostatic pressure gz is not pressure in a real sense since its value depends on the reference level selected, and it accounts for the effects of fluid weight on pressure . The sum of static, dynamic, and hydrostatic pressures is constant when flow is steady and incompressible, and when frictional effects are negligible. ME 330 Fluid Mechanics Spring 2007 Department of Engineering Western Kentucky University Discussion The incompressible Bernoulli equation states that the sum of these three pressures is constant along a streamline; this approximation is valid only for steady and incompressible flow with negligible frictional effects....
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This homework help was uploaded on 04/19/2008 for the course ME 330 taught by Professor An during the Spring '08 term at Western Kentucky University.

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ME330_S07_HWSet5C - 5-28C Solution We are to define and...

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