Analyzing the Flow and Heat Transfer of a Power-law Fluid over an Unsteadily Stretched Surface using a Modified Homotopy Perturbation Method

被引:1
作者
Zheng, Lian-Cun [1 ]
Chen, Chun-Xia [1 ]
Zhang, Xin-Xin [2 ]
Gao, Ying-Tao [3 ]
机构
[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China
[3] Univ Sci & Technol Beijing, Sch Civil & Environm Engn, Beijing 100083, Peoples R China
关键词
Power-law fluids; stretched surface; heat transfer; variable thermal conductivity; homotopy perturbation method; NON-NEWTONIAN FLUIDS; NONLINEAR PROBLEMS; MIXED CONVECTION; BOUNDARY-LAYER; BIFURCATION; EQUATIONS; WALL;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The flow and heat transfer of a power-law fluid over an unsteadily stretched surface with variable thermal conductivity is studied. The governing equations are reduced to a class of non-linear ordinary differential equations by means of similarity transformations and an approximate analytical solution is obtained by using a modified homotopy perturbation method. The effects of the various parameters (power-law index, unsteadiness parameter, Prandtl number and variable thermal conductivity) on the velocity and temperature fields are graphically illustrated and analyzed.
引用
收藏
页码:843 / 849
页数:7
相关论文
共 19 条
[1]   Application of He's homotopy perturbation method to functional integral equations [J].
Abbasbandy, S. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (05) :1243-1247
[2]   Flow of a power-law fluid film on an unsteady stretching surface [J].
Andersson, HI ;
Aarseth, JB ;
Braud, N ;
Dandapat, BS .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1996, 62 (01) :1-8
[3]  
[Anonymous], 2009, INT J NONLIN SCI NUM
[4]   A new modification of He's homotopy perturbation method for rapid convergence of nonlinear undamped oscillators [J].
Ganji D.D. ;
Sahouli A.R. ;
Famouri M. .
Journal of Applied Mathematics and Computing, 2009, 30 (1-2) :181-192
[5]   New iterative methods for nonlinear equations by modified HPM [J].
Golbabai, A. ;
Javidi, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) :122-127
[6]   Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68
[7]   Comparison of homotopy perturbation method and homotopy analysis method [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :527-539
[8]   Limit cycle and bifurcation of nonlinear problems [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :827-833
[9]   Homotopy perturbation method: a new nonlinear analytical technique [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :73-79
[10]   Homotopy perturbation method for bifurcation of nonlinear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) :207-208