Blood flow in capillary under starling hypothesis

被引:14
作者
Elshahed, M [1 ]
机构
[1] Misr Univ Sci & Technol, Fac Engn, Giza, Egypt
关键词
blood flow; slip velocity; permeable wall; microcirculation;
D O I
10.1016/S0096-3003(03)00151-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A perturbation solution of the flow of blood in the microcirculation by taking into account the influence of slip velocity at the membrane surface is presented. It is assumed that the exchange of fluid across the capillary wall obeys Starling's hypothesis, that is, the rate of flow per unit area through the wall surface is proportional to the difference between the pressure of the fluid within and outside of the capillary. The expressions for the velocity and pressure distributions within the tube are obtained. Discussions are made from a physiological point of view. The effect of slip parameter is discussed with the help of graphs. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:431 / 439
页数:9
相关论文
共 13 条
[1]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[2]   Slip flow in an annulus with corrugated walls [J].
Chu, ZKH .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2000, 33 (06) :627-631
[3]  
DULAL P, 1988, J MATH BIOL, V26, P705
[4]   Slip velocity and lift [J].
Joseph, DD ;
Ocando, D .
JOURNAL OF FLUID MECHANICS, 2002, 454 :263-286
[5]   Flow of a Newtonian fluid in a blood vessel with permeable wall - A theoretical model [J].
Mariamma, NK ;
Majhi, SN .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (12) :1419-1432
[6]   A THEORETICAL STUDY OF FLOW OF BLOOD IN A CAPILLARY WITH PERMEABLE WALL [J].
OKA, S ;
MURATA, T .
JAPANESE JOURNAL OF APPLIED PHYSICS, 1970, 9 (04) :345-&
[7]   The effect of the slip boundary condition on the flow of fluids in a channel [J].
Rao, IJ ;
Rajagopal, KR .
ACTA MECHANICA, 1999, 135 (3-4) :113-126
[8]   INFLUENCE OF SLIP VELOCITY AT A MEMBRANE-SURFACE ON ULTRAFILTRATION PERFORMANCE .1. CHANNEL FLOW SYSTEM [J].
SINGH, R ;
LAURENCE, RL .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1979, 22 (05) :721-729
[9]  
Singhand R., 1979, INT J HEAT MASS TRAN, V12, P731
[10]  
SRIVASTAVA LM, 1983, BIORHEOLOGY, V20, P761