Effects of rotation on MHD flow past an accelerated isothermal vertical plate with heat and mass diffusion

Abstract

An exact analysis of rotation effects on unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of transversely applied magnetic field has been presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised to C?w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.Prikazana je tacna analiza uticaja obrtanja na nestacionarno tecenje nestisljivog i elektroprovodnog fluida preko ubrzavajuce izotermske vertikalne ploce pod uticajem prilozenog poprecnog magnetnog polja. Temperatura ploce se podize do Tw pri cemu se nivo koncentracije blizu ploce takodje podize na C?w. Bezdimenzione jednacine problema su resene tehnikom Laplace-ove transformacije. Temperatura, koncentracija i profili brzine su prouceni za razlicite fizicke parametre kao sto su Grashof-ov broj, maseni Grashof-ov broj, Schmidt-ov broj, Prandtlov broj i vreme. Uocava se da brzina raste sa porastom vrednosti termickog Grashof-ovog broja ili masenog Grashof-ovog broja. Takodje se uocava da brzina raste sa smanjivanjem parametra magnetnog polja.