Momentum and heat transfer in visco‐elastic fluid flow in a porous medium over a non‐isothermal stretching sheet

Visco‐elastic fluid flow and heat transfer in a porous medium over a non‐isothermal stretching sheet have been investigated. The flow is influenced by linearly stretching the sheet in the presence of suction, blowing and impermeability of the wall. Thermal conductivity is considered to vary linearly with temperature. The intricate non‐linear problem has been solved numerically by shooting technique with fourth order Runge‐Kutta algorithm after using perturbation method. The zeroth order solutions are obtained analytically in the form of Kummer’s function. An analysis has been carried out for two different cases, namely prescribed surface temperature (PST) and prescribed heat flux (PHF) to get the effect of porosity and visco‐elasticity at various physical situations. The important finding is that the effect of visco‐elasticity and porosity is to increase the wall temperature in case of blowing and to decrease in both the cases of suction and when the stretching sheet is impermeable.

[1]  N. Markatos,et al.  On the flow of non-Newtonian polymer solutions , 1994 .

[2]  T. C. Chiam.  Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet , 1996 .

[3]  Samuel D. Conte,et al.  Elementary Numerical Analysis: An Algorithmic Approach , 1975 .

[4]  M. Subhas Abel,et al.  Oscillatory Motion of a Viscoelastic Fluid over a Stretching Sheet in Porous Media , 2000 .

[5]  Kenneth J. Witt,et al.  Momentum and Heat Transfer on a Continuous Moving Surface , 1986 .

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

[7]  T. C. Chiam.  Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet , 1998 .

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

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

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

[11]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[12]  Convective heat and mass transfer in a visco‐elastic fluid flow through a porous medium over a stretching sheet , 2001 .

[13]  Samuel D. Conte,et al.  Elementary Numerical Analysis , 1980 .

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

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

[16]  Subhas Abel,et al.  Non-Newtonian flow past a stretching plate , 1985 .

[17]  T. Sridhar,et al.  Viscoelastic effects in non-Newtonian flows through porous media , 1985 .

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

[19]  R. J. Goldstein,et al.  Flow and heat transfer in the boundary layer on a continuous moving surface , 1967 .

[20]  V. Kumaran,et al.  A note on the flow over a stretching sheet , 1996 .