Heat Transfer in MHD Visco‐elastic Fluid Flow over a Stretching Surface

An analysis has been carried out to study the effect of magnetic field on the visco-elastic fluid flow and heat transfer over a non-isothermal stretching sheet with internal heat generation. The solutions for heat transfer characteristics are evaluated numerically for different parameters such as Prandtl number, magnetic field, suction, visco-elasticity, and the temperature profile. The solutions for the temperature profile, heat transfer characteristics, and their asymptotic limits for large and small Prandtl numbers are obtained in terms of Kummer's function. The important finding is that the effect of visco-elasticity is to decrease temperature profile in the flow field for small values of Prandil number. The temperature profile decreases with the increase of magnetic field.

[1]  L. Crane Flow past a stretching plate , 1970 .

[2]  P. Veena,et al.  Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet , 1998 .

[3]  Cha'o-Kuang Chen,et al.  Heat transfer of a continuous, stretching surface with suction or blowing , 1988 .

[4]  B. C. Sakiadis Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[5]  P. S. Gupta,et al.  Heat and mass transfer on a stretching sheet with suction or blowing , 1977 .

[6]  B. K. Dutta,et al.  Temperature field in flow over a stretching sheet with uniform heat flux , 1985 .

[7]  T. C. Chiam Micropolar Fluid Flow over a Stretching Sheet , 1982 .

[8]  H. Andersson MHD flow of a viscoelastic fluid past a stretching surface , 1992 .

[9]  M. Char,et al.  Heat and Mass Transfer in a Hydromagnetic Flow of the Viscoelastic Fluid over a Stretching Sheet , 1994 .

[10]  M. S. Abel,et al.  Visco-elastic boundary layer flow past a stretching plate with suction and heat transfer , 1986 .

[11]  B. Nageswara Rao,et al.  The nonuniqueness of the MHD flow of a viscoelastic fluid past a stretching sheet , 1995 .

[12]  A. Petrov,et al.  The plane problem of the extrusion of a viscoplastic medium by parallel plates , 1998 .

[13]  K. Walters,et al.  NON-NEWTONIAN EFFECTS IN SOME ELASTICO-VISCOUS LIQUIDS WHOSE BEHAVIOUR AT SMALL RATES OF SHEAR IS CHARACTERIZED BY A GENERAL LINEAR EQUATION OF STATE , 1962 .

[14]  Kumbakonam R. Rajagopal,et al.  Flow of a viscoelastic fluid over a stretching sheet , 1984 .

[15]  V. G. Fox,et al.  Heat and Mass Transfer on Moving Continuous Flat Plate with Suction or Injection , 1966 .

[16]  A. Gupta,et al.  HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET , 1979 .

[17]  D. W. Beard,et al.  Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point , 1964, Mathematical Proceedings of the Cambridge Philosophical Society.