Heat transfer response of MHD free convection flow along a vertical plate to surface temperature oscillations. (English) Zbl 0910.76080

Hossain, M. A.; Das, S. K.; Pop, I.

Int. J. Non-Linear Mech. 33, No. 3, 541-553 (1998).

Summary: A linearized theory is used to study the heat transfer response of a laminar free convection boundary layer flow of a viscous incompressible and electrically conducting fluid along a vertical plate to surface temperature oscillations, when the mean surface temperature varies as a power \(n\) of distance from the leading edge in the presence of a variable transverse magnetic field. Four distinct methods, namely, the extended series expansion method for low-frequency range, the asymptotic series expansion method for high-frequency range, and the local non-similarity method with second level of truncation and the finite difference method for entire frequency range are used. We find that the amplitude and phase angle of the surface heat flux predicted by these methods are in good agreement in the entire frequency range.

MSC:

76R10	Free convection
76W05	Magnetohydrodynamics and electrohydrodynamics
80A20	Heat and mass transfer, heat flow (MSC2010)

Keywords:

amplitude and phase angle of surface heat flux; linearized theory; extended series expansion method; asymptotic series expansion method; local non-similarity method with second level of truncation; finite difference method