Unsteady hydromagnetic thermal boundary layer flow. II - No heat transfer

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Boundary Layer Flow, Free Convection, Magnetohydrodynamic Flow, Thermal Boundary Layer, Unsteady Flow, Ohmic Dissipation, Resistance Heating, Stellar Structure, Temperature Profiles, Viscous Flow

Scientific paper

With viscous dissipation and Joule heating taken into account, solution of the energy equation is obtained for unsteady hydromagnetic thermal boundary layer flow past a porous wall (e.g., star surface) in the presence of a transverse magnetic field, under the condition of zero heat transfer between the fluid and the boundary - the so-called 'plate thermometer problem' in MHD. Solution of the problem, in the form of power series, is obtained under certain valid simplifying assumptions, when (1) the wall is subjected to a normal velocity of suction/injection which is proportional to t to the minus one-half, and (2) the wall has a velocity given by alpha times t to the nth power. The variation of temperature is shown graphically and is followed by a quantitative discussion which shows the importance of retaining the Joule heating term in the energy equation.

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