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The influence of Hall current on the rotating oscillating flows of an Oldroyd-B fluid in a porous medium

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Abstract

In this article, analysis is presented to study the effect of Hall current on the rotating flow of a non-Newtonian fluid in a porous medium taking into consideration the modified Darcy's law. The Oldroyd-B fluid model is used to characterize the non-Newtonian fluid behavior. The governing equations for unsteady rotating flow have been modeled in a porous medium. The analysis includes the flows induced by general periodic oscillations and elliptic harmonic oscillations of a plate. The effect of the various emerging parameters is discussed on the velocity distribution. The analytical results are confirmed mathematically by giving comparison with previous studies in the literature. It is observed that the velocity distribution increases with an increase of Hall parameter. The behavior of permeability is similar to that of the Hall parameter.

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  1. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan

    T. Hayat, S. B. Khan & M. Khan

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  1. T. Hayat
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  2. S. B. Khan
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  3. M. Khan
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Correspondence to M. Khan.

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Hayat, T., Khan, S.B. & Khan, M. The influence of Hall current on the rotating oscillating flows of an Oldroyd-B fluid in a porous medium. Nonlinear Dyn 47, 353–362 (2007). https://doi.org/10.1007/s11071-006-9034-z

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  • DOI: https://doi.org/10.1007/s11071-006-9034-z

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