Question
Assume that the heat flux is linear in the temperature gradient (represented by g), (p, 0, g) = k(p,0)g, where k(p, 0) 0 is
Assume that the heat flux is linear in the temperature gradient (represented by g), (p, 0, g) = k(p,0)g, where k(p, 0) 0 is the thermal conductivity of the material. Show that balances of mass, linear momentum and energy yield the partial differential equations: Dp Dt +pV v=0. Dv Dt De Dt pc- -Peq + ((Vv + (Vv))) + V(AV v) + bo, ) 2|dev(D)| + k(Tr(D)) - Peq (0, p) Tr(D) + V (kV0) + q. 20 = 0
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Fundamentals of Heat and Mass Transfer
Authors: Incropera, Dewitt, Bergman, Lavine
6th Edition
978-0470055540, 471457280, 470881453, 470055545, 978-0470881453, 978-0471457282
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