The effect of temperature-dependent viscosity and thermal conductivity on velocity and temperature field: an analytical solution using the perturbation technique

被引:6
作者
Panahi-Kalus, H. [1 ]
Ahmadinejad, M. [1 ]
Moosaie, A. [1 ]
机构
[1] Univ Yasuj, Dept Mech Engn, Yasuj 75914353, Iran
来源
ARCHIVES OF MECHANICS | 2020年 / 72卷 / 06期
关键词
temperature-dependent material properties; laminar channel flow; analytical solution; perturbation technique; HEAT-TRANSFER; VARIABLE-VISCOSITY; CHANNEL FLOW; CONVECTION; STRESSES; FLUID; MHD;
D O I
10.24423/aom.3618
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
THIS PAPER PROPOSES A GENERAL FORM OF THE PERTURBATION EXPANSION METHOD for the governing equations of viscous flow coupled to the temperature evolution. The effect of the variations of viscosity and thermal conductivity with temperature on the temperature and velocity fields in a steady two-dimensional Couette-Poiseuille flow is examined. The presented analytical solution by the perturbation method is validated against a finite difference solution of the governing equations. The numerical and analytical solutions are in good agreement.
引用
收藏
页码:555 / 576
页数:22
相关论文
共 27 条
[1]   Influence of temperature dependent viscosity on the MHD-channel flow of dusty fluid with heat transfer [J].
Attia, HA .
ACTA MECHANICA, 2001, 151 (1-2) :89-101
[2]   DNS of turbulent low Mach channel flow under asymmetric high temperature gradient: Effect of thermal boundary condition on turbulence statistics [J].
Avellaneda, J. M. ;
Bataille, F. ;
Toutant, A. .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2019, 77 :40-47
[3]   THERMAL-CONVECTION WITH STRONGLY TEMPERATURE-DEPENDENT VISCOSITY [J].
BOOKER, JR .
JOURNAL OF FLUID MECHANICS, 1976, 76 (AUG25) :741-754
[4]   Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet [J].
Chiam, TC .
ACTA MECHANICA, 1998, 129 (1-2) :63-72
[5]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[6]   Temperature-dependent conductivity in forced convection of heat exchangers filled with porous media: A perturbation solution [J].
Dehghan, Maziar ;
Valipour, Mohammad Sadegh ;
Saedodin, Seyfolah .
ENERGY CONVERSION AND MANAGEMENT, 2015, 91 :259-266
[7]   Effects of viscous dissipation and temperature dependent viscosity in thermally and simultaneously developing laminar flows in microchannels [J].
Del Giudice, S. ;
Nonino, C. ;
Savino, S. .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2007, 28 (01) :15-27
[8]   The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface [J].
Elbashbeshy, EMA ;
Bazid, MAA .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2000, 33 (21) :2716-2721
[9]   The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions [J].
Ellahi, R. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) :1451-1467
[10]   STAGNATION FLOW WITH A TEMPERATURE-DEPENDENT VISCOSITY [J].
EMERMAN, SH ;
TURCOTTE, DL .
JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) :507-517