Unsteady hydromagnetic rotating flow of a conducting second grade fluid |
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Authors: | Email author" target="_blank">T?HayatEmail author K?Hutter S?Nadeem S?Asghar |
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Institution: | (1) Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan;(2) Present address: Institut füur Mechanik III, Technische Universität Darmstadt, Hochschulestr. 1, 64289 Darmstadt, Germany;(3) Institut für Mechanik III, Technische Universität Darmstadt, Hochschulestr. 1, 64289 Darmstadt, Germany;(4) Institute of Information Technology, CONSATS, Abbotabad, Pakistan;(5) Institute of Information Technology, CONSATS, Abbotabad, Pakistan |
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Abstract: | The purpose of this work is to investigate the hydromagnetic oscillatory flow of a fluid
bounded by a porous plate, when the entire system rotates about an axis normal to the plate. The
fluid is assumed to be non-Newtonian (second grade), incompressible and electrically conducting.
The magnetic field is applied transversely to the direction of the flow. Such a flow model has
great significance not only of its theoretical interest, but also for applications to geophysics
and engineering. The resulting initial value problem has been solved analytically for steady and
unsteady cases. The analysis of the obtained results showed that the flow field is appreciably
influenced by the material parameter of the second grade fluid, the applied magnetic field, the
imposed frequency, rotation and suction and blowing parameters. It is observed in a second grade
fluid that a steady asymptotic hydromagnetic solution exists for blowing and resonance which is
different from the hydrodynamic situation. |
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Keywords: | Non-newtonian second grade fluid uniform magnetic field |
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