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EXACT SOLUTIONS FOR magnetohydrodynamic flow IN A ROTATING FLUID

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Acta Mechanica Sinica 2002年第3期18卷 244-251页

作者： S. Asghar Masood Khan A.M. Siddiqui T. Hayat Department of Mathematics Quaid-i-Azam University Islamabad Pakistan Department of Mathematics Pennsylvania State University York Campus 1031 Edgecomb Avenue New York PA 17403 USA

An analytical solution is obtained for the flow due to solid-body rotations an oscillating porous disk and of a fluid at infinity. Neglecting the induced magnetic field, the effects of the transversely applied magnetic field on the flow are studied. Further, the flow confined between two disks is also discussed. It is found that an infinite number of solutions exist for the flow confined between two disks.

关键词： rotating fluid porous disk double disks magnetohydrodynamic flow

MHD UNSTEADY flowS DUE TO NON—COAXIAL ROTATIONS OF A DISK AND A FLUID AT INFINITY

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Acta Mechanica Sinica 2003年第3期19卷 235-240页

作者： T.HAYAT IslamicInternationalEngineeringCollegec/oHeadOfficeIIMC OldSupremeCourtBuilding274PeshawarroadTheMallRawalpindiCanntPakistan

Exact analytical solution for flows of an electrically conducting fluid over an infinite oscillatory disk in the presence of a uniform transverse magnetic field is constructed. Both the disk and the fluid are in a state of non-coaxial rotation. Such a flow model has a great significance not only due to its own theoretical interest, but also due to applications to geophysics and engineering. The resulting initial value problem has been solved analytically by applying the Laplace transform technique and the explicit expressions for the velocity for steady and unsteady cases have been established. The analysis of the obtained results shows that the flow field is appreciably influenced by the applied magnetic field, the frequency and rotation parameters.

关键词： general periodic oscillation non-coaxial rotation magnetohydrodynamic flow Laplace transform

MHD flow and Heat Transfer of a Generalized Burgers' Fluid Due to an Exponential Accelerating Plate with Effects of the Second Order Slip and Viscous Dissipation

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Communications in Theoretical Physics 2017年第6期67卷 697-703页

作者：张艳赵豪杰白羽 School of Science Beijing University of Civil Engineering and Architecture Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation Beijing University of Civil Engineering and Architecture

In classical study on generalized viscoelastic fluid, the momentum equation was derived by considering the fractional constitutive model, while the energy equation was ignored its effect. This paper presents an investigation for the magnetohydrodynamic(MHD) flow and heat transfer of an incompressible generalized Burgers' fluid due to an exponential accelerating plate with the effect of the second order velocity slip. The energy equation and momentum equation are coupled by the fractional Burgers' fluid constitutive model. Numerical solutions for velocity, temperature and shear stress are obtained using the modified implicit finite difference method combined with the G1-algorithm,whose validity is confirmed by the comparison with the analytical solution. Our results show that the influences of the fractional parameters α and β on the flow are opposite each other, which is just like the effects of the two parameters on the temperature. Moreover, the impact trends of the relaxation time λ_1 and retardation time λ_3 on the velocity are opposite each other. Increasing the boundary parameter will promote the temperature, but has little effect on the temperature boundary layer thickness.

关键词： magnetohydrodynamic flow generalized Burgers’ fluid the second order velocity slip Riemann–Liouville fractional derivative

Soret and Dufour effects on unsteady MHD flow past an infinite vertical porous plate with thermal radiation

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Applied Mathematics and Mechanics(English Edition) 2010年第12期31卷 1481-1496页

作者： S.R.VEMPATI A.B.LAXMI-NARAYANA-GARI Department of Mathematics University College of ScienceOsmania University

The objective of the present study is to investigate the effect of flow parameters on the free convection and mass transfer of an unsteady magnetohydrodynamic flow of an electrically conducting, viscous, and incompressible fluid past an infinite vertical porous plate under oscillatory suction velocity and thermal radiation. The Dufour （diffusion thermo） and Soret （thermal diffusion） effects are taken into account. The problem is solved numerically using the finite element method for the velocity, the temperature, and the concentration field. The expression for the skin friction, the rate of heat and mass transfer is obtained. The results are presented numerically through graphs and tables for the externally cooled plate （Gr 〉 0） and the externally heated plate （Gr 〈 0） to observe the effects of various parameters encountered in the equations.

关键词： mass transfer magnetohydrodynamic flow vertical plate suction velocity,Soret and Dufour number thermal radiation finite element method