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

作　　者：H Mehboob K Maqbool R Ellahi Sadiq M Sait 

机构地区：[1]Department of Mathematics and Statistics,International Islamic University,Islamabad,Pakistan [2]Center for Modeling&Computer Simulation,Research Institute,King Fahd University of Petroleum&Minerals,Dhahran-31261,Saudi Arabia [3]Fulbright Fellow,Department of Mechanical Engineering,University of California Riverside,United States of America [4]Centre for Communications and IT Research,Research Institute,King Fahd University of Petroleum&Minerals,Dhahran-31261,Saudi Arabia

出　　处：《Communications in Theoretical Physics》2021年第11期31-46,共16页理论物理通讯（英文版）

摘　　要：This research explores the transport of a Jeffrey fluid through a permeable slit of microchannel under the effect of a porous medium and constant reabsorption.Physical 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 conditions.To 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 calculated.It 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 parameters.It 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 constant.The 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 

分 类 号：O35[理学—流体力学]