An analysis of the flow of a power law fluid due to ciliary motion in an infinite channel |
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Authors: | Abdul M Siddiqui Tahira Haroon Mehwish Rani Ali R Ansari |
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Institution: | (1) Department of Mathematics, York Campus, Pennsylvania State University, York, PA 17403, USA;(2) Department of Mathematics, COMSATS Institute of Information Technology, University Road, Abbottabad, NWFP, 22060, Pakistan;(3) Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, P.O. Box 7207, 32093 Hawally, Kuwait; |
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Abstract: | The propulsion mechanics of cilia-induced flow is studied through a mathematical model. The problem of two-dimensional motion
of a power law fluid inside a channel with ciliated walls is considered. The characteristics of ciliary systems are determined
by the dominance of viscous effects over inertial effects using the long-wavelength approximation. Solutions for the longitudinal,
transverse, and resultant velocities are obtained. The pressure gradient and volume flow rate for different values of the
power law index are also calculated. The flow properties for the power law fluid are determined as a function of the cilia
and metachronal wave velocity. The viscous and power law fluid are compared and discussed graphically. |
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