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

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷 / 10期

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

页码：843 / 849

页数：7

共 19 条

[11] A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) :37-43

[12] Homotopy perturbation technique [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262

[13] Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature [J].

Ishak, Anuar ;

Nazar, Roslinda ;

Pop, Ioan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :2909-2913

[14]

MAGDY A, 2009, J APPL MATH COMPUT, V29, P281

[15]

POP I, 1990, WARME STOFFUBERTRAG, V26, P57, DOI 10.1007/BF01589904

[16] MIXED CONVECTION TO POWER-LAW TYPE NON-NEWTONIAN FLUIDS FROM A VERTICAL WALL [J].

POP, I ;

RASHIDI, M ;

GORLA, RSR .

POLYMER-PLASTICS TECHNOLOGY AND ENGINEERING, 1991, 30 (01) :47-65

[17] THE APPLICATION OF BOUNDARY-LAYER THEORY TO POWER-LAW PSEUDOPLASTIC FLUIDS - SIMILAR SOLUTIONS [J].

SCHOWALTER, WR .

AICHE JOURNAL, 1960, 6 (01) :24-28

[18] Heat transfer for power law non-Newtonian fluids [J].

Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China ;

不详 ;

不详 .

Chin. Phys. Lett., 2006, 12 (3301-3304) :3301-3304

[19] Suitable Heat Transfer Model for Self-Similar Laminar Boundary Layer in Power Law Fluids [J].

Zheng, Liancun ;

Zhang, Xinxin ;

He, Jicheng .

JOURNAL OF THERMAL SCIENCE, 2004, 13 (02) :150-154

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