State space approach to magnetohydrodynamic flow of perfectly
conducting micropolar fluid with stretch
Magdy A. Ezzat1,*,† and Shreen El-Sapa2
1
Department of Mathematics, Faculty of Education, Alexandria University, Alexandria,
Egypt
2
Department of Mathematics, Faculty of Science, Damanhour University, Damanhour,
Egypt
Abstract
In this work we introduce a model of the boundary layer equations for a perfect conducting
micropolar fluid with stretch, bounded by an infinite vertical flat plane surface of a constant
temperature. This model is applied to study the effects of free convection currents on the
flow of the fluid in the presence of a constant magnetic field. The state space technique is
adopted for the solution of a one-dimensional problem for any set of boundary conditions.
The resulting formulation together with the Laplace transform techniques are
applied to a thermal shock problem. The inversion of the Laplace transforms is carried out
using a numerical approach. Numerical results are given and illustrated graphically for the
problem
KEY WORDS: magnetohydrodynamic; boundary layer; micropolar fluid with stretch; free
convection flow;
generalized heat equation; state space approach; numerical results
Published in: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN
FLUIDS
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