Fluid Flow and Solute Transfer in a Tube with Variable Wall Permeability

被引：2

作者：

Varunkumar, M. ^{[1
,2
]}

Muthu, P. ^{[2
]}

机构：

[1] GMRIT, Dept BS&H, Rajam 532127, Andhra Pradesh, India

[2] Natl Inst Technol, Dept Math, Warangal 506004, Telangana, India

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2019年 / 74卷 / 12期

关键词：

Crank-Nicolson Method; Runge-Kutta Method; Ultrafiltration; Variable Wall Permeability; GLOMERULAR ULTRAFILTRATION; MATHEMATICAL-MODEL; LAMINAR-FLOW; TRANSPORT;

D O I：

10.1515/zna-2019-0071

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We considered a steady flow of viscous incompressible fluid and solute transfer in an axisymmetric tube of uniform cross section with variable wall permeability, which is relevant to the study of movement of solute across the glomerular capillaries. The solutions for the nonlinear governing equations of the fluid flow and solute transfer are obtained by analytical/numerical methods. The combined effect of variable wall permeability and flow parameters on the hydrostatic pressure, osmotic pressure, velocity profiles, concentration profiles, and the total solute clearance are investigated and are presented in this paper. It is found that an increase in the variable permeability parameter increases the solute concentration at the wall.

引用

页码：1057 / 1067

页数：11