A class of exact solutions of the unsteady magnetohydrodynamic free-convection flows

Tokis, J. N.

doi:10.1007/bf00653524

Cited by 30 publications

(18 citation statements)

References 8 publications

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“…Equation (1) is valid when the magnetic lines of force are fixed relative to the fluid. If the magnetic field fixed relative to the plate, the momentum equation (1) is replaced by (see [6,7,23])…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Raptis and Singh [6] discussed the effect of a uniform transverse magnetic field on the free convection flow of an electrically conducting fluid past an accelerated vertical infinite plate when the magnetic lines of force are fixed relative to the fluid. Tokis [7] investigated a class of exact solutions of the unsteady free convection flow of an electrically conducting fluid near a moving vertical plate of an infinite extent in the presence of uniform transverse magnetic field fixed to the fluid or to the plate. Several studies were continued on magnetohydrodynamic free convection flows past a vertical surface under different physical situations [8 -17].…”

Section: Introductionmentioning

confidence: 99%

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Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption

Narahari

Debnath²

2012

Z Angew Math Mech

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The unsteady free convection flow of an electrically conducting fluid past an accelerated infinite vertical plate with constant heat flux is investigated under the influence of uniform transverse magnetic field fixed relative to the fluid or to the plate in the presence of heat generation or absorption. Two important cases, (i) exponentially accelerated plate (EAP) and (ii) uniformly accelerated plate (UAP), have been considered. The governing partial differential equations have been solved analytically using the Laplace transform technique and closed form solutions are obtained for the velocity and temperature fields without any restriction. The effects of system parameters such as the Prandtl number, heat generation or absorption, Grashof number, and magnetic field parameter on the flow fields are analyzed through graphs and tables. Further, the solution of the problem involves inverse Laplace transforms of some new exponential forms and these formulas are provided.

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Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption

Narahari

Debnath²

2012

Z Angew Math Mech

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“…These exact solutions are obtained for the fluid motions, since there exists an exponentially accelerated or constantly accelerating plate. The first exact solutions of this kind appear to be those obtained by Tokis [21]. His results are related to the motions produced by uniform, constantly accelerating or decaying oscillatory translations of the plate.…”

mentioning

confidence: 86%

MHD natural convection boundary-layer flow over a semi-infinite heated plate with arbitrary inclination

Zafar¹,

Shabbir²,

Naseem³

et al. 2020

Discrete &Amp; Continuous Dynamical Systems - S

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The aim of this article is to study the natural convection boundarylayer flow over a semi-infinite heated plate with arbitrary inclination. Existing solutions of similar models can be recovered as the limiting cases of horizontal and vertical plates from our generalized problem. Moreover, porous effects and the influence of transverse magnetic field; fixed to the fluid or the plate are accounted. The dimensionless velocity, in conjunction with the corresponding skin friction, have been presented as the sum of mechanical, thermal and concentration components. Furthermore, the contribution of the system parameters to the fluid motion in question has been depicted graphically. The novelty of the present study is to analyze the effect of angle of inclination of the plate and the case when the magnetic field is fixed relative to the fluid or to the plate on the fluid motion.

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“…If the magnetic field fixed relative to the plate, the momentum equation (1) is replaced by (see [Raptis and Singh (1983), Tokis (1985), Cramer and Pai (1973)…”

Section: Fig 1 Physical Modelmentioning

confidence: 99%

Analytical Investigations of Diffusion Thermo Effects on Unsteady Free Convection Flow Past an Accelerated Vertical Plate

Vijayakumar¹,

Kumaresan²,

Prakash³

2018

Frontiers in Heat and Mass Transfer

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The objective of this study is to investigate diffusion-thermo and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate. . Two important cases, when the magnetic lines of force are being fixed relative to the fluid (K=0) or to the moving plate (K=1) have been considered. A general exact solution of the dimensionless governing partial differential equations is obtained by Laplace transform technique without any restriction. The effects of various parameters describing the flow transport in the presence of thermal radiation and Dufour effect on the fluid velocity, temperature, concentration, the rate of heat transfer and the rate of mass transfer are concentrated on through graphs.

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A class of exact solutions of the unsteady magnetohydrodynamic free-convection flows

Cited by 30 publications

References 8 publications

Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption

Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption

MHD natural convection boundary-layer flow over a semi-infinite heated plate with arbitrary inclination

Analytical Investigations of Diffusion Thermo Effects on Unsteady Free Convection Flow Past an Accelerated Vertical Plate

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