Slip MHD viscous flow over a stretching sheet - An exact solution

Tiegang Fang; Ji Zhang; Shanshan Yao

doi:10.1016/j.cnsns.2009.02.012

Slip MHD viscous flow over a stretching sheet - An exact solution

Tiegang Fang
, Ji Zhang
, Shanshan Yao

Mechanical Engineering

North Carolina State University

Research output: Contribution to journal › Article › peer-review

284 Scopus citations

Abstract

In this paper, the magnetohydrodynamic (MHD) flow under slip condition over a permeable stretching surface is solved analytically. The solution is given in a closed form equation and is an exact solution of the full governing Navier-Stokes equations. The effects of the slip, the magnetic, and the mass transfer parameters are discussed. Results show that there is only one physical solution for any combination of the slip, the magnetic, and the mass transfer parameters. The velocity and shear stress profiles are greatly influenced by these parameters.

Original language	English
Pages (from-to)	3731-3737
Number of pages	7
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	14
Issue number	11
DOIs	https://doi.org/10.1016/j.cnsns.2009.02.012
State	Published - Nov 2009

Keywords

Analytical solution
Exact solution
Magnetohydrodynamics
Navier-Stokes equations
Similarity solution
Slip flow
Stretching surface

Access to Document

10.1016/j.cnsns.2009.02.012

Cite this

@article{7365c76423bd40aeaead1760ab27c212,

title = "Slip MHD viscous flow over a stretching sheet - An exact solution",

abstract = "In this paper, the magnetohydrodynamic (MHD) flow under slip condition over a permeable stretching surface is solved analytically. The solution is given in a closed form equation and is an exact solution of the full governing Navier-Stokes equations. The effects of the slip, the magnetic, and the mass transfer parameters are discussed. Results show that there is only one physical solution for any combination of the slip, the magnetic, and the mass transfer parameters. The velocity and shear stress profiles are greatly influenced by these parameters.",

keywords = "Analytical solution, Exact solution, Magnetohydrodynamics, Navier-Stokes equations, Similarity solution, Slip flow, Stretching surface",

author = "Tiegang Fang and Ji Zhang and Shanshan Yao",

year = "2009",

month = nov,

doi = "10.1016/j.cnsns.2009.02.012",

language = "English",

volume = "14",

pages = "3731--3737",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

number = "11",

}

TY - JOUR

T1 - Slip MHD viscous flow over a stretching sheet - An exact solution

AU - Fang, Tiegang

AU - Zhang, Ji

AU - Yao, Shanshan

PY - 2009/11

Y1 - 2009/11

N2 - In this paper, the magnetohydrodynamic (MHD) flow under slip condition over a permeable stretching surface is solved analytically. The solution is given in a closed form equation and is an exact solution of the full governing Navier-Stokes equations. The effects of the slip, the magnetic, and the mass transfer parameters are discussed. Results show that there is only one physical solution for any combination of the slip, the magnetic, and the mass transfer parameters. The velocity and shear stress profiles are greatly influenced by these parameters.

AB - In this paper, the magnetohydrodynamic (MHD) flow under slip condition over a permeable stretching surface is solved analytically. The solution is given in a closed form equation and is an exact solution of the full governing Navier-Stokes equations. The effects of the slip, the magnetic, and the mass transfer parameters are discussed. Results show that there is only one physical solution for any combination of the slip, the magnetic, and the mass transfer parameters. The velocity and shear stress profiles are greatly influenced by these parameters.

KW - Analytical solution

KW - Exact solution

KW - Magnetohydrodynamics

KW - Navier-Stokes equations

KW - Similarity solution

KW - Slip flow

KW - Stretching surface

UR - https://www.scopus.com/pages/publications/67349181009

U2 - 10.1016/j.cnsns.2009.02.012

DO - 10.1016/j.cnsns.2009.02.012

M3 - Article

AN - SCOPUS:67349181009

SN - 1007-5704

VL - 14

SP - 3731

EP - 3737

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 11

ER -

Slip MHD viscous flow over a stretching sheet - An exact solution

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this