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H. Tanaka, O. Miyatake, T. Fujii and M. Fujii, “Natural Convection Heat Transfer between Vertical Parallel Plates—One Plate with a Uniform Heat Flux and the Other Thermally Insulated,” Heat Transfer—Japanese Research, Vol. 2, 1973, pp. 25-33.

has been cited by the following article:

• TITLE: Combined Effects of Hall Current and Radiation on MHD Free Convective Flow in a Vertical Channel with an Oscillatory Wall Temperature

  AUTHORS: Sankar Kumar Guchhait, Sanatan Das, Rabindra Nath Jana

  KEYWORDS: Hall Current; MHD Free Convection; Radiation; Prandtl Number; Grashof Number; Frequency Parameter; Impulsive Motion; Accelerated Motion

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.3 No.1, March 29, 2013

  ABSTRACT: The combined effects of Hall current and radiation on an unsteady MHD free convective flow of a viscous incompressible electrically conducting fluid in a vertical channel with an oscillatory wall temperature have been studied. We have considered two different cases 1) flow due to the impulsive motion of one of the channel walls and 2) flow due to the accelerated motion of one of the channel walls. The governing equations are solved analytically using the Laplace transform technique. It is found that the primary velocity and the magnitude of the secondary velocity increase with an increase in Hall parameter for both the impulsive as well as the accelerated motions of one of the channel walls. An increase in either radiation parameter or frequency parameter leads to decrease in the primary velocity and the magnitude of the secondary velocity for both the impulsive as well as accelerated motions of one of the channel walls. The fluid temperature decreases with an increase in radiation parameter. Further, the shear stresses at the left wall reduce with an increase in either radiation parameter or frequency parameter for both the impulsive as well as the accelerated motions of one of the channel wall.