Peristaltic transport in an asymmetric channel with heat transfer - A note

被引:278
作者
Srinivas, S. [1 ]
Kothandapani, M. [2 ]
机构
[1] VIT Univ, Sch Sci & Humanities, Vellore 632014, Tamil Nadu, India
[2] AMA Coll Engn, Dept Math, Vadamavandal 604410, Tamil Nadu, India
关键词
peristaltic transport; asymmetric channel; Hartmann number; heat transfer coefficient;
D O I
10.1016/j.icheatmasstransfer.2007.08.011
中图分类号
O414.1 [热力学];
学科分类号
摘要
The problem of heat transfer for the motion of a viscous incompressible fluid induced by travelling sinusoidal waves has been analytically investigated for a two-dimensional asymmetrical channel. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The momentum and energy equations have been linearized under long-wavelength and low-Reynolds number assumptions and closed form expressions for temperature and coefficient of heat transfer have been derived. The effect of Hartmann number, Eckert number, width of the channel and phase angle on temperature and coefficient of heat transfer are discussed numerically and explained graphically. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:514 / 522
页数:9
相关论文
共 16 条
[1]   COMPUTATIONAL AND EXPERIMENTAL INVESTIGATIONS OF 2-DIMENSIONAL NONLINEAR PERISTALTIC FLOWS [J].
BROWN, TD ;
HUNG, TK .
JOURNAL OF FLUID MECHANICS, 1977, 83 (NOV) :249-&
[2]   PERISTALTIC MOTION [J].
BURNS, JC ;
PARKES, T .
JOURNAL OF FLUID MECHANICS, 1967, 29 :731-&
[3]   Analysis of intra-uterine fluid motion induced by uterine contractions [J].
Eytan, O ;
Elad, D .
BULLETIN OF MATHEMATICAL BIOLOGY, 1999, 61 (02) :221-238
[4]  
FUNG YC, 1968, J APPL MECH, P901
[5]  
HAROUN MH, MATH PROBLEMS ENG, DOI DOI 10.1155/MPE/2006/61475
[6]   Peristaltically induced motion of a MHD third grade fluid in a deformable tube [J].
Hayat, T. ;
Ali, N. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 370 (02) :225-239
[7]   Peristaltic transport of an Oldroyd-B fluid in a planar channel [J].
Hayat, T ;
Wang, Y ;
Hutter, K ;
Asghar, S ;
Siddiqui, AM .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2004, (04) :347-376
[8]   Peristaltic motion of a Johnson-Segalman fluid in a planar channel [J].
Hayat, T ;
Wang, Y ;
Siddiqui, AM ;
Hutter, K .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (1-2) :1-23
[9]  
LATHAM TW, 1966, THESIS CAMBRIDGE
[10]   A STUDY OF PERISTALTIC FLOW [J].
POZRIKIDIS, C .
JOURNAL OF FLUID MECHANICS, 1987, 180 :515-527