Abstract
The aim of this work is the study of the magnetohydrodynamic (MHD) unsteady free convective flow of water near 4℃ past an infinitely vertical plate moving with constant velocity. The influence of constant uniform suction was also considered. The partial differential equations (PDEs) and their initial and boundary conditions, describing the problem under consideration, are dimensionalized and the numerical solution is obtained by using the finite volume discretization methodology which is suitable for Fluid Mechanics applications. The numerical results for the velocity and temperature fields are shown in figures for different dimensionless parameters entering in the problem under consideration, such as the magnetic parameter, M and the Grashof number, Gr. This study predicts the effects of a constant magnetic field and uniform suction on the free convective flow of water near 4℃, when the water is electrically conductive. Analysis of the results showed that the velocity and temperature profiles are noticeably influenced by these parameters.
Highlights
Free convection flow past an infinite vertical plate is an important application from a technological point of view
The transient free convection of water near 4 ̊C over a doubly infinite vertical porous plate was studied by Pop and Raptis [4]
The presented results were obtained after dimensionalization of the partial differential equations (PDEs) using a numerical approach. This approach is based on the finite volume (FV) discretization scheme which is suitable for Fluid Mechanics applications
Summary
Free convection flow past an infinite vertical plate is an important application from a technological point of view. It becomes a more attractive problem when the fluid is water near 4 ̊C, electrically conductive, and the flow is subjected to a transverse and constant magnetic field. Many researchers have studied the steady free convective flow of water near 4 ̊C past a vertical plate. Govindarajulu [2] has studied the steady free convection flow of water near 4 ̊C on vertical and horizontal plates when the temperature of the plate is varying as a power of the distance along the plate from the leading edge. The transient free convection of water near 4 ̊C over a doubly infinite vertical porous plate was studied by Pop and Raptis [4]
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