Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow
Philosophiae Doctor - PhD === In this thesis, we consider some nonlinear differential models that govern unsteady magneto-hydrodynamic convective flow and mass transfer of viscous, incompressible,electrically conducting fluid past a porous plate with/without heat sources. The study focusses on the...
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ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-36522017-08-02T04:00:36Z Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow Buzuzi, George Patidar, Kailash C. Magneto-Hydrodynamic flows Porus media Differential equation models Thermal radiation Diffusion Singular perturbation methods Finite difference methods Convergence and Stability analysis Philosophiae Doctor - PhD In this thesis, we consider some nonlinear differential models that govern unsteady magneto-hydrodynamic convective flow and mass transfer of viscous, incompressible,electrically conducting fluid past a porous plate with/without heat sources. The study focusses on the effect of a combination of a number of physical parameters (e.g., chemical reaction, suction, radiation, soret effect,thermophoresis and radiation absorption) which play vital role in these models.Non dimensionalization of these models gives us sets of differential equations. Reliable solutions of such differential equations can-not be obtained by standard numerical techniques. We therefore resorted to the use of the singular perturbation approaches. To proceed, each of these model problems is discretized in time by using a suitable time-stepping method and then by using a fitted operator finite difference method in spatial direction. The combined methods are then analyzed for stability and convergence. Aiming to study the robustness of the proposed numerical schemes with respect to change in the values of the key parame- ters, we present extensive numerical simulations for each of these models. Finally, we confirm theoretical results through a set of specificc numerical experiments. 2014-09-10T10:58:37Z 2014-09-10T10:58:37Z 2011 Thesis http://hdl.handle.net/11394/3652 en |
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en |
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topic |
Magneto-Hydrodynamic flows Porus media Differential equation models Thermal radiation Diffusion Singular perturbation methods Finite difference methods Convergence and Stability analysis |
spellingShingle |
Magneto-Hydrodynamic flows Porus media Differential equation models Thermal radiation Diffusion Singular perturbation methods Finite difference methods Convergence and Stability analysis Buzuzi, George Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
description |
Philosophiae Doctor - PhD === In this thesis, we consider some nonlinear differential models that govern unsteady
magneto-hydrodynamic convective flow and mass transfer of viscous, incompressible,electrically conducting fluid past a porous plate with/without heat sources. The study focusses on the effect of a combination of a number of physical parameters (e.g., chemical reaction, suction, radiation, soret effect,thermophoresis and radiation absorption) which play vital role in these models.Non dimensionalization of these models gives us sets of differential equations. Reliable solutions of such differential equations can-not be obtained by standard numerical techniques. We therefore resorted to the use of the singular perturbation approaches. To proceed, each of these model problems is discretized in time by using a suitable time-stepping method and then by using a fitted operator finite difference method in spatial direction. The combined methods are then analyzed for stability and convergence. Aiming to study the robustness of the proposed numerical schemes with respect to change in the values of the key parame-
ters, we present extensive numerical simulations for each of these models. Finally, we confirm theoretical results through a set of specificc numerical experiments. |
author2 |
Patidar, Kailash C. |
author_facet |
Patidar, Kailash C. Buzuzi, George |
author |
Buzuzi, George |
author_sort |
Buzuzi, George |
title |
Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
title_short |
Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
title_full |
Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
title_fullStr |
Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
title_full_unstemmed |
Fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
title_sort |
fitted numerical methods to solve differential models describing unsteady magneto-hydrodynamic flow |
publishDate |
2014 |
url |
http://hdl.handle.net/11394/3652 |
work_keys_str_mv |
AT buzuzigeorge fittednumericalmethodstosolvedifferentialmodelsdescribingunsteadymagnetohydrodynamicflow |
_version_ |
1718510728407678976 |