Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate

Ahmed, Nazibuddin

doi:10.1115/1.4005749

Cited by 39 publications

(28 citation statements)

References 9 publications

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“…(12) and (13) are u' = 0, r = to /, t' <0 (14) at y = 0, 0 < / < Í0 (15) u' = f/o, T' = r; at y = 0, / > to (16) u' -^0, T' ^T'^ as y -» 00, / > 0 (17) It is emphasized by Cogley et al [22] that the rate of radiative flux in optically thin limit for a non-Gray gas near equilibrium is given by…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…Investigation of problems on natural convective radiating flow of electrically conducting fluid past infinite plate becomes very interesting and fruitful when a magnetic field is applied normal to the plate. Comprehensive literature on various aspects of free convective radiative MHD flows and its applications can be found in Sattar and Maleque [12], Samad and Rahman [13], Orhan and Ahmet [14], Prasad et al [15], Takhar et al [16], Ahmed and Sarmah [17] and Ahmed [18]. Very recently, Ahmed and Dutta [19] have studied the transient mass transfer flow past an impulsively started infinite vertical plate with ramped plate velocity and ramped temperature.…”

Section: Introductionmentioning

confidence: 98%

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Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature

Ahmed

Dutta

2014

Journal of Heat Transfer

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An exact solution to the problem of a magnetohydrodynamic viscous, incompressible free convective flow of an electrically conducting, Newtonian non-Gray fluid past a suddenly started infinite vertical plate with ramped wall temperature in presence of appreciable radiation heat transfer and uniform transverse magnetic field is presented. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydromagnetic effects. The resulting system of the equations governing the flow is solved by adopting Laplace Transform technique in closed form. Detailed computations of the influence of Hartmann number, radiation conduction parameter Q, Reynolds number Re and time t on the variations in the fluid velocity, fluid temperature, and skin friction and Nusselt number at the plate are demonstrated graphically. The results show that the imposition of the transverse magnetic field retards the fluid motion and causes the viscous drag at the plate to fall. The investigation simulates that the fluid temperature drops and the rate of heat transfer from the plate to the fluid gets increased for increasing Reynolds number.

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Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature

Ahmed

Dutta

2014

Journal of Heat Transfer

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“…Ahmed [32] discussed the heat and mass transfer effects on Hartman flow in the presence of constant heat source and Soret. The same author Ahmed [33] explained the effects of Soret and radiation on transient MHD free convection from an impulsively started infinite vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Influence of Thermo-Diffusion and Heat Source on MHD Free Convective Radiating Dissipative Boundary Layer of Chemically Reacting Fluid Flow in a Porous Vertical Surface

Shaik¹,

Suneetha²

2016

JAAM

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Abstract. The article is focused on the effects of Soret and chemical reaction on MHD free convection flow through a vertical porous surface in the presence of heat source, viscous dissipation and radiation. The dimensionless governing equations for this investigation are solved analytically using perturbation technique. Numerical evaluation of the numerical results is performed and the results for velocity, temperature and concentration profiles within the boundary layer are discussed and shown graphically. Also skin-friction coefficient due to velocity, Nusselt number coefficient due to temperature and Sherwood number coefficient due to concentration fields are evaluated.Keywords: Boundary layer; MHD; Radiation; Viscous dissipation; Chemical reaction; Permeability of porous; Heat source. IntroductionOwing to their numerous applications in the industrial manufacturing process, the problem of heat and mass transfer in the boundary layers of a continuously moving semi-infinite flat plate has attracted the attention of researchers for the past three decades. Some of the application areas are hot rolling, study production, metal spinning, drawing plastic films, glass blowing, continuous casting of metals and spinning of fibers. Annealing and thinning of copper wire is another example. In all these cases, the quality of the final product depends on the rate of heat and mass transfer at the moving surface. By drawing the strips in an electrically conducting fluid subjected to a magnetic field the rate of cooling can be controlled and the final products of the desired characteristic might be achieved. Sakiadis [1] studied the boundary layer of viscous fluid on the continuous moving solid surface. Gribben [2] investigated the MHD boundary layer flow over a semi-infinite plate with an aligned magnetic field in the presence of pressure gradient. Free convection boundary layers and the study on a uniformly heated vertical plate was presented by Goldstein and Eckert [3]. Beard and Walters [4] proposed the two-dimensional boundary layer flow for an elastico-viscous fluid near a stagnation point. In the present years, the free convective flow of heat and mass transfer problems in the presence of magnetic field through a porous medium have attracted the attention of a number of research scholars because of their possible application in many branches of science and technology such as fibre and granular insulation, a geothermal system, etc. In engineering sciences, it finds many applications in MHD pumps, MHD bearing, MHD power generators, etc. The effects of free convection on stokes problem for a vertical plate under the action of transversely applied magnetic field with heat and mass transfer was discussed by Soundalgekar et al. [5]. Thermal diffusion and natural convection between inclined plates in a porous medium with MHD was analyzed by Raju et al. [6]. Ahmed [7] discovered the radiating fluid and an induced magnetic field over a porous vertical plate. Samira et al. [8] derived free convection MHD flow of an elastovisco...

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“…On the other hand, the studies on the magnetohydrodynamic (MHD) free convection flow with simultaneous effects of heat and mass transfer are encountered in electric power generation, metallurgy, astrophysics and geophysics, solar power technology, space vehicle, nuclear engineering application and other industrial areas [8], [9]. Ahmad and Sarmah [10] examined the thermal radiation effect on a transient MHD flow with mass transfer past an impulsively started infinite vertical plate. Rajput and Kumar [11] studied the MHD flow past an impulsively started vertical plate with variable temperature and mass diffusion.…”

Section: Introductionmentioning

confidence: 99%

“…Oscillatory flow of a viscous, incompressible electrically conducting fluid with heat radiation is analyzed by Singh [13] and established the closed form solutions. Ahmad [14] studied MHD transient free convection and mass transfer flow of a viscous, incompressible and electrically conducting fluid in the presence of thermal diffusion and thermal radiation. He obtained exact solutions for velocity, temperature and concentration using the Laplace transform method.…”

Section: Introductionmentioning

confidence: 99%

Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium

et al. 2013

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The aim of this study is to present an exact analysis of combined effects of radiation and chemical reaction on the magnetohydrodynamic (MHD) free convection flow of an electrically conducting incompressible viscous fluid over an inclined plate embedded in a porous medium. The impulsively started plate with variable temperature and mass diffusion is considered. The dimensionless momentum equation coupled with the energy and mass diffusion equations are analytically solved using the Laplace transform method. Expressions for velocity, temperature and concentration fields are obtained. They satisfy all imposed initial and boundary conditions and can be reduced, as special cases, to some known solutions from the literature. Expressions for skin friction, Nusselt number and Sherwood number are also obtained. Finally, the effects of pertinent parameters on velocity, temperature and concentration profiles are graphically displayed whereas the variations in skin friction, Nusselt number and Sherwood number are shown through tables.

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Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate

Cited by 39 publications

References 9 publications

Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature

Analytical Analysis of Magneto-hydrodynamic (MHD) Transient Flow Past a Suddenly Started Infinite Vertical Plate With Thermal Radiation and Ramped Wall Temperature

Influence of Thermo-Diffusion and Heat Source on MHD Free Convective Radiating Dissipative Boundary Layer of Chemically Reacting Fluid Flow in a Porous Vertical Surface

Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium

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