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Steady MHD Free Convection Heat and Mass Transfer Flow about a Vertical Porous Surface with Thermal Diffusion and Induced Magnetic Field

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dc.contributor.advisor Hossain, Prof. Dr. M. M. Touhid
dc.contributor.author Afruz-zaman, Md.
dc.date.accessioned 2018-08-13T20:15:55Z
dc.date.available 2018-08-13T20:15:55Z
dc.date.copyright 2014
dc.date.issued 2014-08
dc.identifier.other ID 0651551
dc.identifier.uri http://hdl.handle.net/20.500.12228/374
dc.description This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics, August 2014. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 72-74).
dc.description.abstract In this study the thermal diffusion effect on the steady laminar free convection flow and heat transfer of viscous incompressible MHD electrically conducting fluid above a vertical porous surface is considered under the influence of an induced magnetic field. The governing nondimensional equations relevant to the problem, containing the partial differential equations, are transformed by usual similarity transformations into a system of coupled non-linear ordinary differential equations and will be solved analytically by using the perturbation technique. On introducing the non-dimensional concept and applying Boussinesq's approximation, the solutions for velocity field, temperature distribution, mass concentration and induced magnetic field to the second order approximations are obtained for different selected values of the established dimensionless parameters. The influences of these various establish parameters on the velocity and temperature fields, mass concentration and the induced magnetic fields are exhibited under certain assumptions and are studied graphically. The effects of these dimensionless parameters on the coefficients of skin friction and heat transfer are also studied in tabular form in the present analysis. It is observed that the effects of thermal-diffusion and suction have great importance on the velocity, temperature, induced magnetic fields and mass concentration for several fluids considered, so that their effects should be taken into account with other useful parameters associated. It is also found that the dimensionless Prandtl number, Grashof number, Modified Grashof number and magnetic parameter have an appreciable influence on the concerned independent variables. Further, for more accuracy of the analytical approximate results, a numerical solution have been obtained by using standard initial value solver numerical procedure based on the sixth order Runge-Kutta integration scheme along with Nachtsheim-Swigert iteration technique. Finally, a comparison has been made between the numerical results and analytical approximate results and a very good agreement is found between the results. en_US
dc.description.statementofresponsibility Md. Afruz-zaman
dc.format.extent 74 pages
dc.language.iso en_US en_US
dc.publisher Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh. en_US
dc.rights Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission.
dc.subject Vertical Porous Surface en_US
dc.subject Thermal Diffusion en_US
dc.subject Induced Magnetic Field en_US
dc.title Steady MHD Free Convection Heat and Mass Transfer Flow about a Vertical Porous Surface with Thermal Diffusion and Induced Magnetic Field en_US
dc.type Thesis en_US
dc.description.degree Master of Philosophy in Mathematics
dc.contributor.department Department of Mathematics


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