Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube |
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| Affiliation: | 1. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia;2. Basic Engineering Sciences Department, College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia;1. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Department of Mathematics, Lovely Professional University, Jalandhar, 144411, India;2. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440010, India |
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| Abstract: | This study is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The fluid is electrically conducting in the presence of a uniform magnetic field. Analytic solution is carried out for long wavelength and low Reynolds number considerations. The expressions for stream function, axial velocity and axial pressure gradient have been obtained. The results for pressure rise and frictional force per wavelength obtained in the analysis have been evaluated numerically and discussed briefly. The significance of the present model over the existing models has been pointed out by comparing the results with other theories. It is further noted that under the long wavelength approximation, the retardation time has no effect in the present analysis. |
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