THERMAL-ENTRY REGION HEAT TRANSFER IN MAGNETOHYDRODYNAMIC CHANNEL FLOW SUBJECT TO AXIAL CONDUCTION AND THE BOUNDARY CONDITION OF THE THIRD KIND
Thermal-entry-region heat transfer in an MHD channel has been studied for the
boundary condition of the third kind considering Joule heating, viscous dissipation and axial conduction. To allow for the effect of axial conduction
at x=0, the fluid temperature was taken to be uniform at x= −∞, and the first
20 eigenconstants were computed for the regions x ≤ 0 and x ≥ 0, separately. Both the temperatures and temperature gradients were matched at x = 0 by constructing a pair of orthonormal functions from the nonorthogonal eigenfunctions. From the temperature solutions, the effects of Hartmann number, electric field factor, radiation and heat generation parameters as well as Peclet number on the local Nusselt number have been examined.