Abstract
The general mathematical problem of magnetohydrodynamic thermal entrance regions is investigated for a parallel plate channel by including the Hall effect, axial heat conduction, Joule heating, and viscous dissipation. The associated eigenvalue problem is solved by the Galerkin method and the results are presented for the temperature development in a channel under uniform wall temperature conditions. It is concluded that the Hall current has considerable effect on the thermal problem and that the axial heat conduction cannot be neglected for low Peclet numbers.
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