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Discontinuity, Nonlinearity, and Complexity 9(1) (2020) 153--166 | DOI:10.5890/DNC.2020.03.011

M. Varunkumar$^{1}$, P. Muthu$^{2}$

$^{1}$ Department of BS&H, GMRIT Rajam, Srikakulam-532127, India

$^{2}$ Department of Mathematics, National Institute of Technology Warangal-506004, India

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Abstract

In this paper, the influence of slip velocity on the fluid flow and solute transfer in a tube with permeable boundary is studied as a mathematical model for blood flow in glomerular capillaries. The viscous incompressible fluid flow across the permeable tube wall, as a result of differences in both hydrostatic and osmotic pressure, is considered. The solutions of differential equations governing the fluid flow and solute transfer are obtained using analytical and Crank-Nicolson type numerical methods. It is observed that the effect of slip on the hydrostatic and osmotic pressures, velocity profiles, concentration profile, solute mass flux and total solute clearance is significant and the results are presented graphically.

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