Use the Fourier heat conduction law in Eq XXXXXXXXXXto express the energy equation in Eq XXXXXXXXXXfor incompressible fluids in terms of velocity components v1 and v2 and temperature T in rectangular...

Use the Fourier heat conduction law in Eq. (2.7.29) to express the energy equation in Eq. (2.7.28) for incompressible fluids in terms of velocity components v1 and v2 and temperature T in rectangular Cartesian coordinates (x1, x2) for an isotropic (k = kI) two-dimensional medium. Neglect stress power and assume that the internal energy ec is equal to cpT, where cp is the specific heat at constant pressure.