Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet

doi:10.1088/1674-1056/21/3/035201

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 35201-035201.doi: 10.1088/1674-1056/21/3/035201

额尔敦布和¹ ²,特木尔朝鲁¹ ³

收稿日期:2011-09-20 修回日期:2011-11-09 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: 特木尔朝鲁,eerdunbuhe@163.com E-mail:eerdunbuhe@163.com

Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet

Eerdunbuhe(额尔敦布和)^a)b) and Temuerchaolu(特木尔朝鲁)^a)c)†

a. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China;
b. Department of Mathematics, Hohhot University for Nationalities, Hohhot 010051, China;
c. College of Art and Sciences, Shanghai Maritime University, Shanghai 200135, China

Received:2011-09-20 Revised:2011-11-09 Online:2012-02-15 Published:2012-02-15
Contact: Temuerchaolu,eerdunbuhe@163.com E-mail:eerdunbuhe@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11071159) and the College Science Research Project of Inner Mongolia, China (Grant No. NJzy08180).

摘要/Abstract

Abstract: The approximate solution of the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet is obtained by combining the Lie symmetry method with the homotopy perturbation method. The approximate solution is tabulated, plotted for the values of various parameters and compared with the known solutions. It is found that the approximate solution agrees very well with the known numerical solutions, showing the reliability and validity of the present work.

Key words: magneto-hydrodynamic (MHD) boundary layer flow, Lie symmetry method, homotopy perturbation method, approximate solution

中图分类号: (Magnetohydrodynamic and fluid equation)

52.65.Kj

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 11.30.-j (Symmetry and conservation laws) 46.15.Ff (Perturbation and complex analysis methods)

额尔敦布和, 特木尔朝鲁. [J]. 中国物理B, 2012, 21(3): 35201-035201.

Eerdunbuhe(额尔敦布和) and Temuerchaolu(特木尔朝鲁) . Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet[J]. Chin. Phys. B, 2012, 21(3): 35201-035201.

[1]	Wu Sun(孙武), Jiaqi Wang(王嘉琦), Lai Wei(魏来), Zhengxiong Wang(王正汹), Dongjian Liu(刘东剑), and Qiaolin He(贺巧琳). Application of Galerkin spectral method for tearing mode instability[J]. 中国物理B, 2022, 31(11): 110203-110203.
[2]	Shuo Wang(王硕), Ning Zhang(张宁), Shun-Xin Zhang(张顺欣), Miao Tian(田淼), Ya-Wen Cai(蔡雅文), Wei-Li Fan(范伟丽), Fu-Cheng Liu(刘富成), and Ya-Feng He(贺亚峰). Quantitative simulations of ratchet potential in a dusty plasma ratchet[J]. 中国物理B, 2022, 31(6): 65202-065202.
[3]	黄艳, 孙继忠, 蔡娟, 孙振月, 桑超峰, 王德真. Numerical study of influence of J×B force on melt layer under conditions relevant to ITER ELMs[J]. 中国物理B, 2019, 28(4): 45201-045201.
[4]	王小光, 孙顺凯, 肖德龙, 王冠琼, 张扬, 周少彤, 任晓东, 徐强, 黄显宾, 丁宁, 束小建. Numerical study on magneto-Rayleigh-Taylor instabilities for thin liner implosions on the primary test stand facility[J]. 中国物理B, 2019, 28(3): 35201-035201.
[5]	黄耀, 肖炳甲, 罗正平. Fast parallel Grad-Shafranov solver for real-time equilibrium reconstruction in EAST tokamak using graphic processing unit[J]. 中国物理B, 2017, 26(8): 85204-085204.
[6]	王坤, 史宗谦, 石元杰, 白骏, 吴坚, 贾申利, 邱爱慈. Numerical simulation of the initial plasma formation and current transfer in single-wire electrical explosion in vacuum[J]. 中国物理B, 2017, 26(7): 75204-075204.
[7]	钱沐杨, 杨从影, 王震东, 陈小昌, 刘三秋, 王德真. Numerical study of the effect of water content on OH production in a pulsed-dc atmospheric pressure helium-air plasma jet[J]. 中国物理B, 2016, 25(1): 15202-015202.
[8]	M N Stankov, A P Jovanović, V Lj Marković, S N Stamenković. Conversion of an atomic to a molecular argon ion and low pressure argon relaxation[J]. 中国物理B, 2016, 25(1): 15204-015204.
[9]	钱沐杨, 杨从影, 刘三秋, 王震东, 吕燕, 王德真. A computational modeling study on the helium atmospheric pressure plasma needle discharge[J]. 中国物理B, 2015, 24(12): 125202-125202.
[10]	钱沐杨, 杨从影, 陈小昌, 刘三秋, 晏雯, 刘富成, 王德真. A two-dimensional model of He/O₂ atmospheric pressure plasma needle discharge[J]. 中国物理B, 2015, 24(12): 125203-125203.
[11]	徐会静, 赵书霞, 高飞, 张钰如, 李雪春, 王友年. Discontinuity of mode transition and hysteresis in hydrogen inductively coupled plasma via a fluid model[J]. 中国物理B, 2015, 24(11): 115201-115201.
[12]	晏雯, 刘福成, 桑超峰, 王德真. Two-dimensional numerical study of an atmospheric pressurehelium plasma jet with dual-power electrode[J]. 中国物理B, 2015, 24(6): 65203-065203.
[13]	陈大龙, Granetz Robert, 沈飙, 杨飞, 钱金平, 肖炳甲. Characterization of plasma current quench during disruption in EAST tokamak[J]. , 2015, 24(2): 25205-025205.
[14]	刘广君, 万宝年, 孙有文, 刘钺强, 郭文峰, 郝广周, 丁斯晔, 沈飙, 肖炳甲, 钱金平. Effect of passive structure and toroidal rotation on resistive wall mode stability in the EAST tokamak[J]. , 2014, 23(7): 75205-075205.
[15]	李莉, 刘悦. Effect of shear equilibrium flow in Tokamak plasma on resistive wall modes[J]. 中国物理B, 2013, 22(7): 75203-075203.

Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0