Flow and heat transfer over an unsteady stretching surface with Hall effect |
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Authors: | Mohamed Abd El-Aziz |
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Institution: | (1) School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;(2) Faculty of Mathematics, University of Cluj, CP 253, 3400 Cluj, Romania; |
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Abstract: | The present investigation is concerned with the effect of Hall currents on the flow and heat transfer of an electrically conducting
fluid over an unsteady stretching surface in presence of a strong magnetic field. The induced magnetic field is neglected
while the electron-atom collision frequency is assumed to be relatively high, so that the Hall effect is assumed to exist.
The incorrect similarity transformation of Elbashbeshy and Bazid (Heat Mass Transfer 41:1–4, 2004). is corrected and a physically realistic distribution of the velocity and temperature is obtained. Using a similarity transformation
the governing time dependent boundary layer equations for momentum and thermal energy are reduced to a set of coupled ordinary
differential equations which are then solved numerically by the shooting method. Effects of the magnetic field, M , Hall parameter, m, and the unsteadiness parameter, S, on the velocity and temperature profiles as well as the local skin friction coefficients and the heat transfer rate are
shown graphically. |
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