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transport phenomena problem. how to get this full energy equation by using shell energy balance ? 1. The full energy equation in Cartesian coordinates is

transport phenomena problem.
how to get this full energy equation by using shell energy balance ?
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1. The full energy equation in Cartesian coordinates is (th+uxh+vyh+wzh)=(tp+uxp+vyp+wzp)+Sh++x(kxT)+y(kyT)+z(kzT)qr where h is enthalpy, p is pressure, Sh is a heat generation source term, qr is the radiation heat flux vector, T is temperature, k is thermal conductivity, is density, and is the dissipation function defined as

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