Question

Question 5.7

5.7 Multiply the local balance of linear momentum dyadically with the velocity to show that [a(uta) (PMAW pu,u + pu,u, + sym (pu,b,) + sym =sym 2 at 2 The above equation has the same structure as the general balance equation, Identify the terms of No, , OR and ER Shom that tho etretching tensor D is an obiect tensor of secondorder under the Euclidean trans-

Answer 1

Volume is given by the caation eav fr(.d) at CS CV For steady stute : at cly O CV e(R.4A) CS Lincar momen tum alante: O ZF an ev ev dv + at CS ev(d) . CS Where Ve= Velociby of V-ve But W CV + c) (-da) CS 7 Cs Cs Bitveg Given the cy is hon-aCce leratiny = Vc= Constt few (.da)+ fe (ida)-F NG CS Cs Continuity or) eq,) From CS eRW.dA ZF CS