Rheology of micropolar fluid in a channel with changing walls: Investigation of multiple solutions

被引:21
作者
Raza, Jawad [1 ]
Rohni, Azizah Mohd [1 ]
Omar, Zurni [1 ]
机构
[1] Univ Utara Malaysia, Sch Quantitat Sci, Sintok 06010, Kedah, Malaysia
关键词
Micropolar fluid; Micro-rotation; Multiple solutions; Shooting method; BOUNDARY-LAYER FLOW; HEAT-TRANSFER; EQUATIONS;
D O I
10.1016/j.molliq.2016.07.102
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
A numerical study is carried out in order to investigate the multiple solutions of micropolar fluid in a channel with changing walls. Mathematical modeling of laws of conservation of mass, momentum, angular momentum and energy is performed and governing partial differential equations are converted into self-similar ordinary differential equations by applying suitable similarity transformation and then solved numerically by shooting method. A new branch of solutions is found and presented graphically and numerically for the various values of parameters, which has never been reported. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:890 / 902
页数:13
相关论文
共 27 条
[1]  
Ali K., 2014, J THEOR APPL MECH, P52
[2]   APPLICATIONS OF MICROCONTINUUM FLUID MECHANICS [J].
ARIMAN, T ;
TURK, MA ;
SYLVESTER, ND .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1974, 12 (04) :273-293
[3]   Application of Adomian decomposition method for micropolar flow in a porous channel [J].
Aski, F. Shakeri ;
Nasirkhai, Seyed Jalal ;
Mohammadian, E. ;
Asgari, A. .
PROPULSION AND POWER RESEARCH, 2014, 3 (01) :15-21
[4]   Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls [J].
Dauenhauer, EC ;
Majdalani, J .
PHYSICS OF FLUIDS, 2003, 15 (06) :1485-1495
[5]   Analytical interpretation of the local thermal non-equilibrium condition of porous media imbedded in tube heat exchangers [J].
Dehghan, Maziar ;
Jamal-Abad, Milad Tajik ;
Rashidi, Saman .
ENERGY CONVERSION AND MANAGEMENT, 2014, 85 :264-271
[6]   Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls [J].
Fakour, M. ;
Vahabzadeh, A. ;
Ganji, D. D. ;
Hatami, M. .
JOURNAL OF MOLECULAR LIQUIDS, 2015, 204 :198-204
[7]   Multiple solutions and stability of confined convective and swirling flows - a continuing challenge [J].
Gelfgat, AY ;
Bar-Yoseph, PZ .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2004, 14 (02) :213-241
[8]  
GORLA RSR, 1983, INT J ENG SCI, V21, P791, DOI 10.1016/0020-7225(83)90062-9
[9]  
Hoyt J.W., 2003, NOTSTP3670
[10]  
HUDIMOTO B, 1969, INT J ENG SCI, V7, P515, DOI 10.1016/0020-7225(69)90036-6