Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip

Hameed Ullah, Dianchen Lu, Abdul Majeed Siddiqui, Tahira Haroon and Khadija Maqbool
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Hameed Ullah: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Dianchen Lu: Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Abdul Majeed Siddiqui: Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Tahira Haroon: Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Khadija Maqbool: Department of Mathematics and Statistics, International Islamic University, Islamabad 45320, Pakistan

Mathematics, 2020, vol. 8, issue 10, 1-22

Abstract: The present theoretical study investigates the influence of velocity slip characteristics on the plane steady two-dimensional incompressible creeping Maxwell fluid flow passing through a porous slit with uniform reabsorption. This two-dimensional flow phenomenon is governed by the mathematical model having nonlinear partial differential equations together with non-homogeneous boundary conditions. An analytical technique, namely the recursive approach, is used successfully to find the solutions of the problem. The explicit expressions for stream function, velocity components, pressure distribution, wall shear stress and normal stress difference have been derived. The axial flow rate, leakage flux and fractional reabsorption are also found out. The points of maximum velocity are identified. Non-dimensionalization is carried out and graphs are portrayed at different positions of the channel to show the impact of pertinent parameters: slip parameter, Maxwell fluid parameter and absorption parameter, on flow variables and found that the fluid velocity is affected significantly due to these parameters. This study provides a mathematical basis to understand the physical phenomenon for fluid flows through permeable boundaries which exists in different problems like gaseous diffusion, filtration and biological mechanisms.

Keywords: creeping Maxwell fluid; uniform reabsorption; permeable slit; slip condition; recursive approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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