Heat and Mass Transfer for a Maxwell Fluid Flow Near a Stagnation Point with Variable Wall Heat and Mass Flux in the Presence of Heat Generation or Absorption

Mostafa A. A. Mahmoud; Shimaa E. Waheed

doi:10.15866/irephy.v7i1.4397

Heat and Mass Transfer for a Maxwell Fluid Flow Near a Stagnation Point with Variable Wall Heat and Mass Flux in the Presence of Heat Generation or Absorption

Mostafa A. A. Mahmoud^(1*), Shimaa E. Waheed⁽²⁾

^(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract

A theoretical study of the problem of stagnation point flow, heat and mass transfer in a Maxwell fluid over a surface with variable wall heat and mass flux in the presence of heat generation/absorbtion is investigated. This work is extended from the previous published study of Sadeghy et al. [16]. The boundary layer equations describing the problem are transformed to a system of non-linear ordinary differential equations. The resulting system of non-linear ordinary differential equations is solved numerically using Chebyshev spectral method. The results show that the Deborah number has the effect of reducing the temperature and the concentration inside the boundary layer and enhancing the velocity.
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords

Maxwell Fluid; Heat Generation (Absorption); Stagnation Point; Variable Wall Heat and Mass Flux

Full Text:

PDF

References

I. C.,Liu, Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field, Int. J. Heat Mass Transfer 47(2004)4427-4437.

R. Cortell, Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet, Chem. Eng. Process. 46(2007) 982-989.

M. A. A. Mahmoud, Chemical reaction and variable viscosity effects on flow and mass transfer of a non-Newtonian visco-elastic fluid past a stretching surface embedded in a porous medium, Meccanica 45(2010) 835-846.

P. S. Datti, K. V. Prasad, M. S. Abel, and A. Joshi, MHD viscoelastic fluid flow over a non-isothermal stretching sheet, Int. J. Eng. Sci. 42 (2004) 935-946.

R. Cortell, A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet, Int. J. non-Linear Mech. 41(2006) 78-85.

R. B. Bird, R. C. Anmstrong, and O. Hassager, Dynamics of polymeric liquids. Vol.1. New York: John Wiely &Sons:1987.

N. Phan-Thien, Plane and axi-symmetric stagnation flow of a Maxwellian fluid, Rheol. Acta 22(1983)127-130.

K. Sadeghy , A. H. Najafi, and Staffaripour, Sakiadis flow of an upper-convected Maxwell fluid Int. J. Non-Linear Mech.40(2005)1220-1228.

T. Hayat, and M.Sajid , Homotopy analysis of. MHD boundary layer flow of an upperconvected. Maxwell fluid, Int. J. Eng. Sci. 45(2007)393-401.

T. Hayat, Z. Abbas, and N. Ali, MHD flow and mass transfer of a upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species, Phys. Letters A 372 (2008)4698-4704.

T. Hayat, Z. Abbas, and N. Ali, Phys. Letters A 358(2006)396-403.

V. Aliakbar, A. Alizadeh-Pahlavan, and K. Sadeghy, The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets, Commun. Nonlinear Sci. Numerc. Simulat. 14(2009) 779-794.

M. A. A. Mahmoud, The effects of variable fluid properties on mhd maxwell fluids over a stretching surface in the presence of heat generation/absorption, Chem. Eng. Comm. 198(2010)131-146.

M. S. Abel, J. Tawad, and M. M. Nandeppanavar, MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet, Meccanica (2011)DOI 10.1007/s11012- 011-9448-7.

T. Hayat, Z. Abbas, and M. Sajid, MHD stagnation-point flow of an upper convected Maxwell fluid over a stretching surface , Chaos, Solitons and Fractals 39(2009)840-848.

K. Sadeghy, H. Hajibeygi, and S. M. Taghavi, Stagnation Point Flow of Upper-Convected Maxwell Fluids, Int. J. Non-Linear Mech. 41(2006) 1242-1247.

Z. Abbas, Y. Wang, T. Hayat, and M. Oberlack, Mixed convection in the stagnationpoint flow of an upper-convected Maxwell fluid towards a vertical stretching surface, Nonlinear Analysis: Real World Applications 11(2010)3218-3228.

T. Hayat, and M. Qasim, Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis, Int. J. Heat Mass Transfer 53(2010)4780-4788. 4780-4788.

Q. Wu, S. Weinbaum, and Y. Andreopoulos, Stagnation point flows in a porous medium., Chemical Engineering Science 60(2005) 123-134.

Refbacks

There are currently no refbacks.

Username
Password
Remember me