Acta Mathematicae Applicatae Sinica 2008, Vol. 24 Issue (4) :541-552    DOI:
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Analytic Study of Magnetohydrodynamic Flow and Boundary LayerControl Over a Wedge
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Abstract A genuine variational principle developed by Gyarmati, in the field of thermodynamics of irreversible processes
unifying the theoretical requirements of technical, environmental and biological sciences is employed to study the effects of
uniform suction and injection on MHD flow adjacent to an isothermal wedge with pressure gradient in the presence of a transverse
magnetic field. The velocity distribution inside the boundary layer has been considered as a simple polynomial function and the
variational principle is formulated. The Euler-Lagrange equation is reduced to a simple polynomial equation in terms of momentum
boundary layer thickness. The velocity profiles, displacement thickness and the coefficient of skin friction are calculated for
various values of wedge angle parameter $m$, magnetic parameter $\xi$ and suction/injection parameter $H$. The present results
are compared with known available results and the comparison is found to be satisfactory. The present study establishes high
accuracy of results obtained by this variational technique.
KeywordsMagnetohydrodynamics
AbstractA genuine variational principle developed by Gyarmati, in the field of thermodynamics of irreversible processes
unifying the theoretical requirements of technical, environmental and biological sciences is employed to study the effects of
uniform suction and injection on MHD flow adjacent to an isothermal wedge with pressure gradient in the presence of a transverse
magnetic field. The velocity distribution inside the boundary layer has been considered as a simple polynomial function and the
variational principle is formulated. The Euler-Lagrange equation is reduced to a simple polynomial equation in terms of momentum
boundary layer thickness. The velocity profiles, displacement thickness and the coefficient of skin friction are calculated for
various values of wedge angle parameter $m$, magnetic parameter $\xi$ and suction/injection parameter $H$. The present results
are compared with known available results and the comparison is found to be satisfactory. The present study establishes high
accuracy of results obtained by this variational technique.
KeywordsMagnetohydrodynamics