Magnetohydrodynamics flow of a Burgers’ fluid in an orthogonal rheometer |
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Authors: | AM Siddiqui MA Rana Naseer Ahmed |
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Institution: | 1. Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA;2. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;3. Management Information System Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan |
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Abstract: | The magnetohydrodynamics flow of an electrically conducting, incompressible Burgers’ fluid in an orthogonal rheometer is investigated. An exact solution is obtained. The effects of various dimensionless parameters existing in the model on the velocity field, vorticity and traction are studied graphically. It is noted that boundary layers form for a variety of reasons. It form as the Reynolds number increases. Also, as the Weissenberg number increases a distinct boundary layer formation is observed. It can develop at low Reynolds number provided the Weissenberg number is sufficiently high, however, it is not possible in the case of a Newtonian fluid. It is shown that no torque is exerted by the fluid on one of the disks. Results are compared with Oldroyd-B fluid. |
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Keywords: | Viscoelastic fluids Boundary layer Magnetohydrodynamics flow Orthogonal rheometer Exact solutions |
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