Lie group analysis for heat transfer in flow of second grade fluid

被引：4
作者：
Amtout, T. [1 ]
Biyadi, H. [1 ]
Er-Riani, M. [1 ]
El Jarroudi, M. [1 ]
机构：
[1] LMA, Fac Sci & Tech, Dept Math, BP 416,Ancienne Route Aeroport,Km 10 Ziaten, Tangier 90000, Morocco
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2019年 / 9卷 / 02期
关键词：
Lie group analysis; second grade fluid; heat transfer flow; similarity reduction; travelling wave solutions; THERMODYNAMICS; STABILITY; SURFACE;
D O I：
10.1504/IJDSDE.2019.100564
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Lie symmetry analysis is performed for the heat transfer flow of a second grade fluid between two parallel heated plates. The symmetries for the coupled equations are given. The exact solutions and similarity reductions generated from the symmetry transformations are provided. Furthermore, translational symmetries were utilised to find a family of travelling wave solutions of the governing nonlinear problem.
引用
收藏
页码：164 / 175
页数：12
相关论文
共 22 条
[1]  
[Anonymous], 2017, J COMPUT APPL RES ME
[2]   Unsteady Couette flows in a second grade fluid with variable material properties [J].
Asghar, S. ;
Hayat, T. ;
Ariel, P. D. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) :154-159
[3]  
Bluman G, 1989, TEXTS MATH, V107
[4]   FLUIDS OF DIFFERENTIAL TYPE - CRITICAL-REVIEW AND THERMODYNAMIC ANALYSIS [J].
DUNN, JE ;
RAJAGOPAL, KR .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (05) :689-729
[5]   THERMODYNAMICS, STABILITY, AND BOUNDEDNESS OF FLUIDS OF COMPLEXITY-2 AND FLUIDS OF SECOND GRADE [J].
DUNN, JE ;
FOSDICK, RL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 56 (03) :191-252
[6]   Unsteady flow of a second grade fluid between two side walls perpendicular to a plate [J].
Fetecau, C. ;
Hayat, T. ;
Fetecau, Corina ;
Alia, N. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (03) :1236-1252
[7]   THERMODYNAMICS AND STABILITY OF FLUIDS OF 3RD GRADE [J].
FOSDICK, RL ;
RAJAGOPAL, KR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1980, 369 (1738) :351-377
[8]  
Gnaneswara Reddy M., 2012, Experimental Cell Research, V1, P1
[9]   Some analytical solutions for second grade fluid flows for cylindrical geometries [J].
Hayat, T ;
Khan, M ;
Ayub, M .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) :16-29
[10]   Transient flows of a second grade fluid [J].
Hayat, T ;
Khan, M ;
Siddiqui, AM ;
Asghar, S .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2004, 39 (10) :1621-1633
123