RADIATIVE FALKNER-SKAN FLOW OF WALTER-B FLUID WITH PRESCRIBED SURFACE HEAT FLUX

被引:13
作者
Hayat, Tasawar [1 ,2 ]
Qayyum, Sumaira [1 ]
Imtiaz, Maria [1 ]
Alsaedi, Ahmed [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] King Abdulaziz Univ, NAAM Res Grp, Dept Math, Jeddah, Saudi Arabia
关键词
Walter-B fluid; Falkner-Skan flow; prescribed surface heat flux; thermal radiation; THERMAL-RADIATION; UNSTEADY-FLOW; NANOFLUID;
D O I
10.15632/jtam-pl.55.1.117
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This article addresses the Falkner-Skan flow of an incompressible Walter-B fluid. Fluid flow is caused by a stretching wedge with thermal radiation and prescribed surface heat flux. Appropriate transformations are used to obtain the system of nonlinear ordinary differential equations. Convergent series solutions are obtained by the homotopy analysis method. Influence of pertinent parameters on the velocity, temperature and Nusselt number are investigated. It is observed that by increasing the viscoelastic parameter, the fluid velocity decreases. There is an enhancement of the heat transfer rate for the viscoelastic parameter and power law index. It is also found that the Prandtl number and radiation parameter decrease the heat transfer rate.
引用
收藏
页码:117 / 127
页数:11
相关论文
共 35 条
[1]   Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid [J].
Abbasbandy, S. ;
Hayat, T. ;
Alsaedi, A. ;
Rashidi, M. M. .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (02) :390-401
[2]   Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid [J].
Abbasbandy, Saeid ;
Naz, Rahila ;
Hayat, Tasawar ;
Alsaedi, A. .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 :569-575
[3]  
[Anonymous], 2014, J KING SAUD U ENG SC
[4]  
Bhattacharyya K., 2013, J THERMODYN, V2013
[5]   Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet [J].
Bhattacharyya, Krishnendu ;
Mukhopadhyay, Swati ;
Layek, G. C. ;
Pop, Ioan .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (11-12) :2945-2952
[6]   Numerical study of transient free convective mass transfer in a Walters-B viscoelastic flow with wall suction [J].
Chang, Tong-Bou ;
Mehmood, A. ;
Beg, Anwar ;
Narahari, M. ;
Islam, M. N. ;
Ameen, F. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :216-225
[7]  
Falkner VM, 1931, PHILOS MAG, V12, P865
[8]   Momentum and heat transfer of the Falkner-Skan flow with algebraic decay: An analytical solution [J].
Fang, Tiegang ;
Yao, Shanshan ;
Zhang, Ji ;
Zhong, Yongfang ;
Tao, Hua .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) :2476-2488
[9]   Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel [J].
Farooq, U. ;
Hayat, T. ;
Alsaedi, A. ;
Liao, Shijun .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 :528-540
[10]   Partial slip effects in flow over nonlinear stretching surface [J].
Hayat, T. ;
Imtiaz, M. ;
Alsaedi, A. .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (11) :1513-1526