A convergence criterion for tangent hyperbolic fluid along a stretching wall subjected to inclined electromagnetic field

被引:0
作者
Khoshrouye Ghiasi E. [1 ]
Saleh R. [1 ]
机构
[1] Department of Mechanical Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad
关键词
Convergence; CPU time; Homotopy-based approach; Magnetic strength; Tangent hyperbolic fluid;
D O I
10.1007/s40324-019-00190-1
中图分类号
学科分类号
摘要
The homotopy-based approach is a useful tool for solving nonlinear partial differential equations (PDEs) in physics and engineering. Our aim here is to optimize this approach by generating a convergence criterion for tangent hyperbolic fluid along a stretching wall with magnetic force. To this end, the governing partial differential equations (PDEs) get transformed to the dimensionless form via similarity variables. A comparison of the homotopy-based approach for the skin friction coefficient with different solution methodologies shows that the 9th-order approximate solution together with ħ=-0.523 will certainly achieve a very minor error for the present system. © 2019, Sociedad Española de Matemática Aplicada.
引用
收藏
页码:521 / 531
页数:10
相关论文
共 39 条
  • [1] Abbasbandy S., Homotopy analysis method for heat radiation equations, Int. Commun. Heat Mass Transfer, 34, pp. 380-387, (2007)
  • [2] Abbasbandy S., Mustafa M., Analytical and numerical approaches for Falkner-Skan flow of MHD Maxwell fluid using a non-Fourier heat flux model, Int. J. Numer. Methods Heat Fluid Flow, 28, pp. 1539-1555, (2018)
  • [3] Abbasi F.M., Mustafa M., Shehzad S.A., Alhuthali M.S., Hayat T., Analytical study of Cattaneo-Christov heat flux model for a boundary layer flow of Oldroyd-B fluid, Chin. Phys. B, 25, pp. 1-7, (2016)
  • [4] Ahmad Soltani L., Shivanian E., Ezzati R., Convection-radiation heat transfer in solar heat exchangers filled with a porous medium: exact and shooting homotopy analysis solution, Appl. Therm. Eng., 103, pp. 537-542, (2016)
  • [5] Akbar N.S., Nadeem S., Haq R.U., Khan Z.H., Numerical solutions of magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet, Indian J. Phys., 87, pp. 1121-1124, (2013)
  • [6] Fang T., Zhang J., Yao S., Slip MHD viscous flow over a stretching sheet-An exact solution, Commun. Nonlinear Sci. Numer. Simulat., 14, pp. 3731-3737, (2009)
  • [7] Farooq U., Zhao Y.L., Hayat T., Alsaedi A., Liao S.J., Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner-Skan flow of nano-fluid, Comput. Fluids, 111, 59-75, (2015)
  • [8] Fitzpatrick P.M., Advanced calculus: A course in mathematical analysis, (1996)
  • [9] Hashmi M.S., Khan N., Mahmood T., Shehzad S.A., Effect of magnetic field on mixed convection flow of Oldroyd-B nanofluid induced by two infinite isothermal stretching disks, Int. J. Therm. Sci., 111, pp. 463-474, (2017)
  • [10] Hayat T., Sajid M., On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder, Phys. Lett. A, 361, pp. 316-322, (2007)