Title :
Effect of couple-stress on the ultrafiltration process
Author :
Rudraiah, N. ; Veena, B.H. ; Siddheshwar, Pradeep G. ; Shivakumar, P.N.
Author_Institution :
Dept. of Math., Bangalore Univ., India
Abstract :
The effects of couple-stress and suction-Reynolds number on velocity and concentration distribution in the ultrafiltration process of a gel-polarization model are investigated. Both analytical and numerical techniques are used. The numerical method is based on an implicit finite difference scheme, and the analytical technique makes use of a regular perturbation. The calculations show that the effect of couple-stress is to inhibit the diffusive transport of solute molecules from the membrane surface to the bulk solution, in contrast to the suction effect. The ramification of the couple-stress in predicting the flux rates during ultrafiltration is examined
Keywords :
biodiffusion; biomembrane transport; difference equations; filtration; molecular biophysics; physiological models; analytical technique; bulk solution; concentration distribution; diffusive transport; flux rates; gel-polarization model; implicit finite difference scheme; membrane surface; numerical method; numerical techniques; regular perturbation; solute molecules; suction-Reynolds number; ultrafiltration process; velocity distributions; Biological system modeling; Biomembranes; Blood; Computational biology; Engineering in medicine and biology; Equations; Geometry; Perturbation methods; Societies; Viscosity;
Conference_Titel :
Engineering in Medicine and Biology Society, 1989. Images of the Twenty-First Century., Proceedings of the Annual International Conference of the IEEE Engineering in
Conference_Location :
Seattle, WA
DOI :
10.1109/IEMBS.1989.96027
