384CHAPTER 4. KINEMATICS4.14Chapter 4, Problem 14By definition, the velocity components in the Lagrangian description areu=X∂x∂t~xo,yo=Uw1+xLWandv=X∂y∂t~xo,yo=−UyLHence, we can solve forxandyfrom the following differential equations:dxx/L=Udtanddyy=−LIntegrating, we findLfn(1 +x/L)=Lfn(1 +xo/L)+Utandfny=fnyo−Ut/Lwhereweassume
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.