MHD two-layered unsteady fluid flow and heat transfer through a horizontal channel between

Abstract

An unsteady magnetohydrodynamic (MHD) two-layered fluids flow and heat transfer in a horizontal channel between two parallel plates in the presence of an applied magnetic and electric field is investigated, when the whole system is rotated about an axis perpendicular to the flow. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, when both fluids are considered as electrically conducting, incompressible with variable properties, viz. different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing partial differential equations are then reduced to the ordinary linear differential equations using two-term series. Closed form solutions for primary and secondary velocity, also temperature distributions are obtained in both the fluid regions of the channel. Profiles of these solutions are plotted to discuss the effects of the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, rotation parameter, ratios of the viscosities, heights, electrical and thermal conductivities

Electro-Magnetohydrodynamic Two Fluid Flow of Ionized-Gases with Hall and Rotation Effects

“…It has also been reported in the literature that in magnetized plasma, the impacts of Hall currents become significant when the vitality of the magnetic field is very large. Numerous investigations have been made accessible in the literature on the subject of MHD plasma flows with or without rotation effect under the impact of a strong magnetic field in varied geometrical situations [14][15][16][17][18][19][20][21][22][23].This type of flow turned out to be a significant domain of research for both academic and scientific community in view of the enormous applications in aero-space science, engineering, technology and in several industrial contexts such as energy conversion systems, extraction of the products of oil in the geothermal regions, in designing the thermonuclear fusion reactor, MHD power generation model and so forth [24][25][26][27][28][29][30][31][32]. Likewise, Lohrasbi and Sahai [33] investigated the magnetohydrodynamic heat transfer in a two-phase flow between parallel plates.…”

Effect of Hall Currents on Unsteady Magnetohydrodynamic Two-Ionized Fluid Flow and Heat Transfer in a Channel

“…Numerous model studies on the effect of Hall currents in the magnetohydrodynamic (MHD) problems of one fluid flow system can be found in literature [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. A great number of studies are also available on MHD two-phase/two-fluid flow problems due to their abundant applications in various domains [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. In most of these studies, the flows are assumed under the steady-state conditions.…”

The Hall Effect on MHD 2-Fluid Unsteady Heat Transfer Flow of Plasma in a Rotating System Via a Straight Channel Between Conducting Plates

“…L.Raju and S.Dhar investigated the unsteady two liquid heat transfer flow of conductive liquids within a channel under the influence of a magnetic field [36]. An MHD 2-layer unsteady heat transfer flow in a horizontal channel among parallel plates in a rotating frame of reference was investigated by L.Raju and Valli [37]. An MHD two liquid heat transfer flow across a horizontal tube was investigated by Sharma and Sharma [38].…”