ME330_S07_HWSet4 - ME 330 Fluid Mechanics Department of...

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ME 330 Fluid Mechanics Spring 2007 Department of Engineering Western Kentucky University CHAPTER 4 HW - Homework Solutions Problem #’s 4-77C, 4-78, and 4-79, Due February 16, 2007 4-77C Solution ( a ) False : The statement is backwards, since the conservation laws are naturally occurring in the system form. ( b ) False : The RTT can be applied to any control volume, fixed, moving, or deforming. ( c ) True : The RTT has an unsteady term and can be applied to unsteady problems. (d) True : The extensive property B (or its intensive form b ) in the RTT can be any property of the fluid – scalar, vector, or even tensor. 4-78 Solution For the case in which B sys is the mass m of a system, we are to use the RTT to derive the equation of conservation of mass for a control volume. Analysis The general form of the Reynolds transport theorem is given by General form of the RTT : sys r CV CS dB d bd bV ndA dt dt ρρ =+ ∫∫ V r r (1) Setting B sys = m means that b = m / m = 1. Plugging these and dm / dt = 0 into Eq. 1 yields Conservation of mass for a CV :
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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_HWSet4 - ME 330 Fluid Mechanics Department of...

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