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On non-linear magnetohydrodynamic problems of an Oldroyd 6-constant fluid

Abstract

In this work we develop a mathematical model to predict the velocity profile for an unidirectional, incompressible and steady flow of an Oldroyd 6-constant fluid. The fluid is electrically conducting by a transverse magnetic field. The developed governing equation is non-linear. This equation is solved analytically to obtain the general solution. The governing non-linear equation is also solved numerically subject to appropriate boundary conditions (three cases of typical plane shearing flows) by an iterative technique with the finite-difference discretizations. A parametric study of the physical parameters involved in the problems such as the applied magnetic field and the material constants is conducted. The obtained results are illustrated graphically to show salient features of the solutions. Numerical results show that the applied magnetic field tends to reduce the flow velocity. Depending on the choice of the material parameters, the fluid exhibits shear-thickening or shear-thinning behaviours.

Item Type: Article 2005 Wang, Yongqi and Hayat, T. and Hutter, K. On non-linear magnetohydrodynamic problems of an Oldroyd 6-constant fluid English In this work we develop a mathematical model to predict the velocity profile for an unidirectional, incompressible and steady flow of an Oldroyd 6-constant fluid. The fluid is electrically conducting by a transverse magnetic field. The developed governing equation is non-linear. This equation is solved analytically to obtain the general solution. The governing non-linear equation is also solved numerically subject to appropriate boundary conditions (three cases of typical plane shearing flows) by an iterative technique with the finite-difference discretizations. A parametric study of the physical parameters involved in the problems such as the applied magnetic field and the material constants is conducted. The obtained results are illustrated graphically to show salient features of the solutions. Numerical results show that the applied magnetic field tends to reduce the flow velocity. Depending on the choice of the material parameters, the fluid exhibits shear-thickening or shear-thinning behaviours. International Journal of Non-Linear Mechanics 40 1 Elsevier Oldroyd 6-constant fluid; Magnetohydrodynamic; Non-Newtonian fluid; Shearing flow 16 Department of Mechanical Engineering16 Department of Mechanical Engineering > Fluid Dynamics (fdy) 05 Dec 2017 15:07 10.1016/j.ijnonlinmec.2004.05.010 https://doi.org/10.1016/j.ijnonlinmec.2004.05.010 Dublin CoreRDF+XMLBibTeXT2T_XMLEP3 XMLJSONHTML CitationASCII CitationReference ManagerMultiline CSVMODSSimple MetadataAtomEndNote TUfind oder in Google

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