Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet

Authors

  • Ahmet Yildirim Department of Mathematics, Science Faculty, Ege University, 35100 Bornova Izmir, TURKEY
  • M.A Abdou Physics Department, Faculty of Science, Mansoura University, Mansoura, 35516 EGYPT
  • Naeem Faraz Modern Textile Institute, Donghua University, 1882 Yan’an Xilu Road, Shanghai 200051, CHINA
  • Q. Wu, Department of Mathematics, Zhejiang University, Hangzhou 310027, CHINA
  • Yasir Khan Department of Mathematics, Zhejiang University, Hangzhou 310027, CHINA
Abstract:

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade´ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Graphical results have been presented and discussed for the pertinent parameters. The results attained in this paper confirm the idea that HPTM is powerful mathematical tool and it can be applied to a large class of linear and nonlinear problems arising in different fields of science and engineering.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

numerical solution of mhd flow over a nonlinear porous stretching sheet

in this paper, the magnetohydrodynamic (mhd) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the homotopy perturbation transform method (hptm) and the pade´ approximation. the numerical solution of the governing non-linear problem is developed. comparison of the present solution is made with the existing solution and excellent agreement is noted. graphi...

full text

Dirichlet Series Solution of Mhd Flow over a Nonlinear Stretching Sheet

We study the MHD boundary layer flow of an incompressible viscous fluid over a continuously stretching sheet using more suggestive schemes. The fast convergent Dirichlet series solution of governing nonlinear differential equation of MHD flow over nonlinear stretching sheet is obtained. This method has advantages over pure numerical methods in obtaining the derived quantities accurately for var...

full text

Dirichlet series and approximate analytical solutions of MHD flow over a linearly stretching ‎sheet

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary cond...

full text

MHD Jeffrey NanoFluids Flow Over a Stretching Sheet Through a Porous Medium in Presence of Nonlinear Thermal Radiation and Heat Generation/Absorption

In this article, a numerical investigation of magnetohydrodynamic non-Newtonian nanofluid flow on a stretching sheet through an isotropic porous medium. The effects of both non-linear thermal radiation and heat generation/absorption were studied on distributions of velocity, temperature and concentration. On the other side, the governing partial differential equations have been transformed by u...

full text

MHD Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Nanofluid over a Stretching Sheet

In this study, the three-dimensional magnetohydrodynamic (MHD) boundary layer of stagnation-point flow in a nanofluid was investigated. The Navier–Stokes equations were reduced to a set of nonlinear ordinary differential equations using a similarity transform. The similarity equations were solved for three types of nanoparticles: copper, alumina and titania with water as the base fluid, to inve...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 31  issue 3

pages  125- 132

publication date 2012-09-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023