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The Analytical Solution Via Cole-Hopf Transformation of the Unsteady MHD Equations of Salt Water Flow Subjected to Multiple Transport Effects
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Abstract
The purpose of this study is to examine the effect of MHD properties on the unsteady hydro-magnetic natural convection with heat transfer over an impulsively moving vertical plate embedded in salt water. The whole system rotates about an axis normal to the plane of the plate with uniform angular velocity. A variable applied magnetic field and Hall current affect the incompressible and optically thick fluid presented by sea water as the working fluid in our problem. A new manipulation as a single independent variable is introduced to reduce the system of ordinary differential equations by successive eliminations to one nonlinear ODE for the secondary velocity, under simple initial and boundary conditions, which is solved analytically using the Cole-Hopf transformation. Through this study, it was found that the resulting solutions include the non-dimensional temperature, primary and secondary velocities depend on different governing parameters.The results indicate that all these quantities are damped far from the rotating plate at different values of the governing parameters. From the irreversi-ble thermodynamic point of view, the entropy generation and Bejan numbers are estimated and illustrated under the same conditions. The results of this research may find its echo in different vital applications such as heat exchangers, Hall accelerators and power generators.
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How to cite this paper
The Analytical Solution Via Cole-Hopf Transformation of the Unsteady MHD Equations of Salt Water Flow Subjected to Multiple Transport Effects
How to cite this paper: Aly M. Abourabia, Sara A. Abdel Moneim. (2022). The Analytical Solution Via Cole-Hopf Transformation of the Unsteady MHD Equations of Salt Water Flow Subjected to Multiple Transport Effects. Engineering Advances, 2(1), 36-50.
DOI: http://dx.doi.org/10.26855/ea.2022.06.004
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