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Transport of Jeffrey fluid in a rectangular slit of the microchannel under the effect of uniform reabsorption and a porous medium

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Communications in Theoretical Physics 2021年第11期73卷 31-46页

作者： H Mehboob K Maqbool R Ellahi Sadiq M Sait Department of Mathematics and Statistics International Islamic UniversityIslamabadPakistan Center for Modeling&Computer Simulation Research InstituteKing Fahd University of Petroleum&MineralsDhahran-31261Saudi Arabia Fulbright Fellow Department of Mechanical EngineeringUniversity of California RiversideUnited States of America Centre for Communications and IT Research Research InstituteKing Fahd University of Petroleum&MineralsDhahran-31261Saudi Arabia

This research explores the transport of a Jeffrey fluid through a permeable slit of microchannel under the effect of a porous medium and constant *** laws of fluid mechanics are used to study the flow in a cross-sectional area of a narrow slit which generates a highly nonlinear system of partial differential equation with nonhomogeneous boundary *** solve the complex boundary value problem;a recursive(langlois)approach is used and explicit expressions for velocity,pressure,stream function,flux,shear stress and fractional reabsorption are *** is noticed that the flow rate at the centre line of slit and shear stress on the walls of slit decay due to the presence of porous medium and viscoelastic fluid *** is also quantitatively observed that more pressure is required for the fluid flow when the slit is filled with a porous medium and reabsorption on the walls is *** mathematical results of the present research have significant importance in the field of biofluid mechanics and medical industry,therefore the application of a diseased rat kidney is also included in this research:and reabsorption velocities in the case of a diseased and a healthy rat kidney are calculated with the effects of a porous medium and constant re-absorption.

关键词： creeping flow Jeffrey fluid uniform re-absorption porous medium permeable slit micro channel langlois approach

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