MHD Flow and Heat Transfer Over a Slender Elastic Permeable Sheet in a Rotating Fluid with Hall Current

被引：0

作者：

Vajravelu K. ^{[1
]}

Prasad K.V. ^{[2
]}

Ng C.-O. ^{[3
]}

Vaidya H. ^{[2
]}

机构：

[1] Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, 32816, FL

[2] Department of Mathematics, VSK University, Vinayaka Nagar, Bellary, 583 105, Karnataka

[3] Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期

关键词：

Finite difference method; Hall current; MHD flow; Optimal homotopy analysis method; Rotating fluid; Wall transpiration;

D O I：

10.1007/s40819-016-0291-3

中图分类号：

学科分类号：

摘要：

Magnetohydrodynamic flow and heat transfer over a stretching sheet with a variable thickness in a rotating fluid with Hall current is investigated. Both analytical and numerical methods are employed to solve the governing coupled nonlinear differential equations. The analytical solutions are obtained through the optimal homotopy analysis method where the numerical solutions are computed by a second-order finite difference scheme. The solutions for the non-dimensional velocity and temperature fields are obtained and presented graphically for various physical parameters. The accuracy of the analytical solution is verified by plotting the residual errors and by comparing solutions with available results in the literature for some special cases. The Hall current gives rise to a cross flow. The rotating fluid frame and the wall transpiration (suction/injection) can have strong effects on the shear stress and the Nusselt number. © 2016, Springer India Pvt. Ltd.

引用

页码：3175 / 3200

页数：25

共 45 条

[1]

Crane L.J., Flow past a stretching plate, ZAMP, 21, pp. 645-655, (2006)

[2]

Wang C.Y., Exact solutions of the steady-state Navier–Stokes equations, Ann. Rev. Fluid Mech., 23, pp. 159-177, (1991)

[3]

Miklavcic M., Wang C.Y., Viscous flow due to a shrinking sheet, Quart. Appl. Math., 64, pp. 283-290, (2006)

[4]

Fang T., Zhang J., Closed-form exact solutions of MHD viscous flow over a shrinking sheet, CNSNS, 14, pp. 2853-2857, (2009)

[5]

Dehghan M., Shakourifar M., Hamidi A., The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Pade technique, Chaos Solitons Fractals, 39, pp. 2509-2521, (2009)

[6]

Dehghan M., Shakeri F., The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics, Phys. Scr., 78, (2008)

[7]

Lyapunov A.M., The General Problem of the Stability of Motion, (1992)

[8]

Karmishin A.V., Zhukov A.I., Kolosov V.G., Methods of Dynamics Calculation and Testing for Thin-Walled Structures, (1990)

[9]

Khater A.H., Temsah R.S., Hassan M.M., A Chebyshev spectral collocation method for solving Burgers-type equations, J. Comput. Appl. Math., 222, pp. 333-350, (2008)

[10]

Boyd J.P., Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain, Comput. Phys., 11, pp. 299-303, (1997)

← 1 2 3 4 5 →