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Unformatted text preview: ME309 Fall 2009 Lecture 6: Control Volume Equations
Andrew Lee Maurice J. Zucrow Laboratories Purdue University West Lafayette, Indiana Stress notation
U h V=(y/h)*U i y x Shear stress, yx, acting on top and bottom plates 9/4/2009 Andrew Lee 2/11 Stress notation V=U[1(2y/h)2] y x h/2 h/2 Shear stress, yx, acting on top and bottom plates 9/4/2009 Andrew Lee 3/11 Control Volume Analysis We specify a region of space and study motions of fluid particles that are passing that region as a whole Convenient, quick, and cheap Gross approximation Does not provide pointbypoint knowledge of the flow field
Andrew Lee 4/11 9/4/2009 Reynolds Transport Theorem "Basic" equations are defined for systems RTT converts the system equations to control volume equations 9/4/2009 Andrew Lee 5/11 Reynolds Transport Theorem
dN = dV + V dA CS dt system t CV
N M P H E S
9/4/2009 Andrew Lee (=N/M) 1 V rXV e s
6/11 Reynolds Transport Theorem
dN dt system CV dV t CS V dA
Andrew Lee 7/11 9/4/2009 Mass Conservation
dM = dV + V dA = 0 CS dt system t CV 9/4/2009 Andrew Lee 8/11 Mass Conservation 9/4/2009 Andrew Lee 9/11 Mass Conservation 9/4/2009 Andrew Lee 10/11 ...
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This note was uploaded on 04/28/2010 for the course ME 309 taught by Professor Merkle during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 MERKLE
 Shear, Stress

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