Soret, heat generation, radiation and porous effects on MHD free convection flow past an infinite plate with oscillating

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Soret, heat generation, radiation and porous effects on MHD free convection flow past an infinite plate with oscillating temperature Marneni Narahari1   · Sowmya Tippa2 · Rajashekhar Pendyala3 · Constantin Fetecau4 Received: 23 May 2020 / Accepted: 4 September 2020 © Akadémiai Kiadó, Budapest, Hungary 2020

Abstract The magnetohydrodynamic flow of a viscous incompressible fluid past an infinite vertical plate surrounded by a porous medium has been analytically investigated during natural convection. The heat and mass transfer characteristics are examined in the presence of heat generation, chemical reaction, thermal radiation, and Soret effect. An oscillating temperature of the plate is considered about a constant mean temperature. The Laplace transform technique is applied to solve the governing system of coupled partial differential equations. The concentration, velocity, penetration distance, skin-friction, Nusselt number, and Sherwood number results are obtained from the solutions and thoroughly discussed. The results exhibit that the velocity and the penetration distance enhance with an increase in Soret number, whereas the skin-friction decreases with increasing Soret number. The heat transfer rate enhances with the escalation of radiation parameter but diminishes with the increase of phase angle. It is also seen that the rate of mass transfer is occurring from fluid to the plate surface in the presence of Soret effect and surface temperature oscillations. Keywords  Heat transfer · Mass transfer · MHD · Natural convection · Oscillating temperature · Soret effect · Thermal radiation · Vertical infinite plate

Introduction The transient free convection flow along a vertical surface has a paramount application in different heat transfer processes. The preeminent applications include cooling of electronic devices, manufacturing engineering, aerospace engineering, and nuclear reactors, especially in the case of cooling of the nuclear reactor core during power or pump failure. Hydromagnetic flow is involved in heat exchangers, cosmical physics, pumps, flow meters, communications and * Marneni Narahari [email protected] 1



Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, 32610, Seri Iskandar, Perak Darul Ridzuan, Malaysia

2



Department of Mathematics, PDA College of Engineering, Kalaburagi, Karnataka 585102, India

3

Chemical Engineering Department, Universiti Teknologi PETRONAS, 32610, Seri Iskandar, Perak Darul Ridzuan, Malaysia

4

Academy of Romanian Scientists, 050094 Bucharest, Romania





radar systems, aerodynamics, and MHD accelerators. The convection heat transfer in porous material has established substantial attention in recent years due to its significance in various industrial applications such as fiber and granular insulation, electronic system cooling, cooling of combustors, and porous medium regenerative heat exchangers. In many industrial applications, generally, the plate temperature starts oscillating about a nonzero mean temperature. Under such a scenario,

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