Hall and Ohmic Heating Effects on the Peristaltic Transport of a Carreau-Yasuda Fluid in an Asymmetric Channel

被引：63
作者：
Hayat, Tasawar [1 ,3 ]
Abbasi, Fahad M. [1 ]
Alsaedi, Ahmed [2 ]
Alsaadi, Fuad [3 ]
机构：
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia
[3] King Abdulaziz Univ, Dept Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2014年 / 69卷 / 1-2期
关键词：
Mathematical Modelling; Carreau-Yasuda Fluid; Ohmic Heating; Hall Effects; NON-NEWTONIAN PROPERTIES; MAGNETIC-FIELD; VARIABLE VISCOSITY; WALL PROPERTIES; LARGE ARTERIES; MAXWELL FLUID; MASS-TRANSFER; FLOW; BLOOD; CURRENTS;
D O I：
10.5560/ZNA.2013-0074
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：
The effects of Hall current and Ohmic heating are analyzed for the peristaltic flow of a Caneau-Yasuda fluid in an asymmetric channel. The mathematical model for peristalsis of the Carreau-Yasuda fluid is provided for the first time in the literature. The problem is developed in the presence of viscous dissipation. Solutions for pressure gradient, stream function, axial velocity, and temperature are established and discussed. The heat transfer rate at the wall is first computed numerically and then examined. A comparative study for viscous, Carreau, and Carreau-Yasuda fluids is also made.
引用
收藏
页码：43 / 51
页数：9
相关论文
共 20 条
[1]  
Abbasi FM, 2014, APPL MATH INFORM SCI, V8, P211
[2]   MHD peristaltic flow of a third order fluid in an asymmetric channel [J].
Ali, N. ;
Hayat, T. ;
Wang, Y. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2010, 64 (09) :992-1013
[3]   The Carreau-Yasuda fluids: a skin friction equation for turbulent flow in pipes and Kolmogorov dissipative scales [J].
Andrade, Luiz Claudio F. ;
Petronilio, Jamilson A. ;
Maneschy, Calos Edilson de A. ;
Cruz, Daniel Onofre de A. .
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2007, 29 (02) :162-167
[4]   Effect of Hall currents on interaction of pulsatile and peristaltic transport induced flows of a particle-fluid suspension [J].
Gad, N. S. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (09) :4313-4320
[5]   The influence of the non-Newtonian properties of blood on the flow in large arteries:: unsteady flow in a 90° curved tube [J].
Gijsen, FJH ;
Allanic, E ;
van de Vosse, FN ;
Janssen, JD .
JOURNAL OF BIOMECHANICS, 1999, 32 (07) :705-713
[6]   The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model [J].
Gijsen, FJH ;
van de Vosse, FN ;
Janssen, JD .
JOURNAL OF BIOMECHANICS, 1999, 32 (06) :601-608
[7]   Hall effects on peristaltic flow of a Maxwell fluid in a porous medium [J].
Hayat, T. ;
Ali, N. ;
Asghar, S. .
PHYSICS LETTERS A, 2007, 363 (5-6) :397-403
[8]   PERISTALTIC FLOW OF A NON-NEWTONIAN FLUID IN AN ASYMMETRIC CHANNEL WITH CONVECTIVE BOUNDARY CONDITIONS [J].
Hayat, T. ;
Yasmin, Humaira ;
Alhuthali, Mohammed S. ;
Kutbi, Marwan A. .
JOURNAL OF MECHANICS, 2013, 29 (04) :599-607
[9]  
Hayat T, 2011, MAGNETOHYDRODYNAMICS, V47, P295
[10]   The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer [J].
Hayat, T. ;
Hina, S. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :3155-3169
12