The Effect of Suction/Injection on the MHD Flow due to an Exponentially Stretching Sheet with Thermal Radiation

Thiagarajan Murugesan, Sangeetha A.S

Abstract


A steady laminar two-dimensional boundary layer flow and heat transfer towards a porous exponentially stretching sheet in presence of transverse magnetic field is studied. Thermal radiation term is united in the temperature equation. The non-linear partial equations corresponding to momentum and energy equations are transformed into non-linear ordinary differential equations using similarity transformations. The resultant equations are solved by applying Runge-Kutta method along with shooting technique. It is found that velocity distribution decreases and temperature distribution increases with increasing magnetic interaction parameter.

Keywords


Magnetohydrodynamic; Thermal radiation; Porous exponentially stretching sheet

Full Text:

PDF

References


M.E. Ali, On thermal boundary layer on a power-law

stretched surface with suction or injection, Int. J. Heat

Fluid Flow, 16 (1995) 280-290.

R.C. Bataller, Radiation effects in the Blasius flow,Appl.

Math. Comput., 198 (2008) 333-338.

M.Q. Brewster, Thermal Radiative Transfer Properties, John Wiley and Sons (1972).

C.H. Chen, MHD mixed convection of a power-law fluid

past a stretching surface in the presence of thermal radiation and internal heat generation/absorption, Int. J. of Nonlinear Mechanics, 44 (2008) 296-303.

R. Coretell, Effects of viscous dissipation and work done by

deformation on the MHD flow and heat transfer of a

viscoelastic fluid over a stretching sheet, Physics Letters

A, 357 (2006) 298-305.

E.M.A. Elbashbeshy, Heat transfer over an exponentially

stretching continuous surface with suction, Archive of

Mechanics, 53 (2001) 643-651.

T. Fang, J. Zhang, Thermal boundary layers over a shrinking sheet: An analytical solution, Acta Mechanica, 209 (2010) 325-343.

P.S. Gupta, A.S. Gupta, Heat and mass transfer on a

stretching sheet with suction or blowing, Can. J. Chem. Eng., 55 (1997) 744-746.

T. Hayat, Z. Abbas, M. Sajid, Series solutions for the upper-

convected Maxwell fluid over a porous stretching plate,

Physics Letter A, 358 (2006) 396-403.

T. Hayat, Z. Abbas, M. Sajid, S. Asghar, The influence of

thermal radiation on MHD flow of a second grade fluid, Int.

J. Heat Mass Transfer, 50 (2007) 931-941.

T. Hayat, M. Sajid, Analytic solution for axisymmetric

flow and heat transfer of a second grade fluid past a

stretching sheet, International journal of Heat and Mass

Transfer, 50 (2007) 75-84.

M.A. Hossain, M.A. Alim, D.A.S. Rees, The effect of

radiation on free convection from a porous vertical

plate, International journal of Heat and Mass Transfer,

(1999) 181-191.

A. Raptis, C. Perdikis, H.S. Takhar, Effect of thermal

radiation on MHD flow, Int. J. Heat Mass Transfer, 153

(2004) 645-649.

M. Sajid, T. Hayat, Influence of thermal radiation on the

boundary layer flow due to an exponentially stretching sheet, Int. Comm. Heat Mass Trans., 35 (2008) 347-356.

B.C. Sakiadis, Boundary layer behavior on continuous

solid surfaces: I. The boundary layer equations for two

dimensional and axisymmetric flow, AIChE. J., 7 (1961)

-28.

M. Thiagarajan, A.S. Sangeetha, Magnetohydrodynamic flow over a power-law stretching plate with free stream pressure gradient, JEHMT, 32 (2010) 375-384.

H. Xu, S.J. Liao, Series solutions of unsteady

magnetohydrodynamic flows of Non-Newtonian fluids

caused by an impulsively stretching plate, J. Non-Nemton.

Fluid Mech., 159 (2005) 46-55.


Refbacks

  • There are currently no refbacks.


ISSN: 2332-2160

Impact Factor = 0.465 (2013)