Acta Mechanica

, Volume 118, Issue 1, pp 55–64

Mixed convection in non-Newtonian fluids along a vertical plate in a porous medium

Authors

  • R. S. R. Gorla
    • Department of Mechanical EngineeringCleveland State University Cleveland
  • M. Kumari
    • Department of MathematicsIndian Institute of Science
Original Papers

DOI: 10.1007/BF01410507

Cite this article as:
Gorla, R.S.R. & Kumari, M. Acta Mechanica (1996) 118: 55. doi:10.1007/BF01410507

Summary

The problem of mixed convection from vertical surfaces in a porous medium saturated with a power-law type non-Newtonian fluid is investigated. The transformed conservation laws are solved numerically for the case of variable wall temperature conditions. Results for the details of the velocity and temperature fields as well as the Nusselt number have been presented. The viscosity index ranged from 0.5–2.0.

Notation

d

particle diameter

f

dimensionless stream function

g

acceleration due to gravity

h

heat transfer coefficient

k

thermal conductivity

K

permeability coefficient of the porous medium

L

length of the plate

n

viscosity index

Nu

Nusselt number

Pe

Peclet number

Pr

Prandtl number

qw

wall heat flux

Ra

Rayleigh number

Re

Reynolds number

T

temperature

u, v

velocity components inx andy directions

x, y

axial and normal coordinates

α

thermal diffusivity

β

coefficient of thermal expansion

η

dimensionless distance

Θ

dimensionless temperature

μ

dynamic viscosity

ϱ

density

ε

porosity

χ

mixed convection nonsimilar parameter

ψ

stream function

Subscripts

w

surface conditions

conditions far away from the surface

Copyright information

© Springer-Verlag 1996