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

- Received:

DOI: 10.1007/BF01410507

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

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## 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

*q*_{w}wall heat flux

- Ra
Rayleigh number

- Re
Reynolds number

*T*temperature

*u, v*velocity components in

*x*and*y*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