Meccanica

, Volume 44, Issue 2, pp 145–158

Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy force and thermal radiation

Article

DOI: 10.1007/s11012-008-9155-1

Cite this article as:
Pal, D. Meccanica (2009) 44: 145. doi:10.1007/s11012-008-9155-1

Abstract

In this paper an analysis has been made to study heat and mass transfer in two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in the presence of buoyancy force and thermal radiation. The similarity solution is used to transform the problem under consideration into a boundary value problem of nonlinear coupled ordinary differential equations containing Prandtl number, Schmidt number and Sherwood number which are solved numerically with appropriate boundary conditions for various values of the dimensionless parameters. Comparison of the present numerical results are found to be in excellent with the earlier published results under limiting cases. The effects of various physical parameters on the boundary layer velocity, temperature and concentration profiles are discussed in detail for both the cases of assisting and opposing flows. The computed values of the skin friction coefficient, local Nusselt number and Sherwood number are discussed for various values of physical parameters. The tabulated results show that the effect of radiation is to increase skin friction coefficient, local Nusselt number and Sherwood number.

Keywords

Stretching sheetThermal radiationMass transferStagnation-point flowBoundary layerMechanics of fluids

Nomenclature

cp

specific heat at constant pressure

C

concentration

Cf

local skin-friction coefficient

f

dimensionless stream function, defined in (9)

g

acceleration due to gravity

k*

mass absorption coefficient

Gr

local Grashof number

Gc

local solutal Grashof number

Nux

local Nusselt number, defined in (17)

Pr

Prandtl number, ν/α

qr

radiative heat flux defined in (5)

Rd

radiation-conduction parameter

Rex

local Reynolds number, uex/ν

Sc

Schmidt number

Shx

Sherwood number

T

fluid temperature

u

velocity component in the x-directions

v

velocity component in the y-direction

x

coordinate along the wedge surface

y

coordinate normal to the wedge surface

Greek symbols

α

coefficient of thermal diffusivity

βT

coefficient of thermal expansion

βC

coefficient of expansion with concentration

δ

solutal buoyancy parameter

η

similarity variable, defined in (9)

φ

dimensionless concentration

κ

thermal conductivity

λ

thermal buoyancy parameter

μ

dynamic viscosity

ν

kinematic viscosity

ρ

density of fluid

σ

electrical conductivity

σ*

Stefan-Boltzmann constant

ψ

stream function

θ

dimensionless temperature, defined in (9)

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of Mathematics, Siksha BhavanaVisva-Bharati UniversitySantiniketanIndia