Lecture 22 Notes - EGN 3353C Fluid Mechanics Lecture 22 We...

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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept. University of Florida Lecture 22 ± We will now apply the Reynolds Transport Theorem (RTT) to the Conservation of Angular Momentum ± We will restrict our analysis to an inertial CV (CV in a non-accelerating reference frame) ± Recall we derived the RTT for the general case of a CV that can move and deform r system CV CS dB d bd bV ndA dt dt ρρ =∀ + ∫∫ G G ± For angular momentum, r B V H m = = × G G G so b rV = × G G and so NN N () sum of all external moments acting on CV rate of change of net flux of a angular momentum in CV = 0 for steady flow r CV CS system r CV CS dH d bd b V ndA dt dt d M r V d r V V ndA dt ×× + + × GG G G G G G G ±²²³²²´ ngular momentum out of CV ±²²²³²²²´ o We need to worry about external moments due to body forces, pressure, shear forces, and any other external moments. ± Simplifications of r CV CS d M rV d rV Vn d A dt + × G G G o For a fixed CV , the relative velocity CS r VV V = G G G V = G
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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept.
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This note was uploaded on 08/17/2011 for the course EGN 3353C taught by Professor Lear during the Spring '07 term at University of Florida.

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Lecture 22 Notes - EGN 3353C Fluid Mechanics Lecture 22 We...

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