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3 International Journal of Applied Mechanics and Engineering

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Boundary layers growth on a moving surface due to an impulsive motion and a sudden increase of wall heat flux

Kumari M., Grosan T., Pop I.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 1

203-215

In this paper we investigate the development of the momentum and thermal boundary layers over a continuous moving semi-infinite flat plate when the extemal stream starts impulsively from rest at time t = O with a constant velocity [...] It is assumed that the plate starts to supply heat to the fluid at a constant rate qw at time t = O and maintained at this rate. The problem has been formulated in a new system of scaled coordinates such that for [...] it reduces to Rayleigh type of equation and for [...] (large time) it reduces to Blasius or Sakiadis type of equation. A new scale of dimensionless time ? has been used which reduces the region of time integration from an infinite region [...] to a finite time region [...] which reduces the computational time considerably. The goveming partial differential equations are transformed into a singular parabolic partial differential equations which have been solved numerically for a range of values of the goveming parameters using an implicit finite-difference scheme. The results show that there is a smooth transition from Rayleigh solution to Blasius or Sakiadis solution as the dimensionless time [...] increases from zero to one.

A note on the effect of radiation on free convection over a vertical flat plate embedded in a non-newtonian fluid saturated porous medium

Grosan T., Pop I.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 3

715-722

The effect of radiation on the free convection from a vertical plate embedded in a power-law fluid saturated porous media has been considered. Similarity equations have been obtained and solved numerically. It was found that there is an increase in the boundary layer thickness with an increase in the radiation parameter N and a decrease in the power-law index n was observed.

Free convection of non-newtonian fluids over a vertical surface in a porous medium with internal heat generation

Grosan T., Pop I.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 2

401-407

The effect of the internal heat generation on the free convection from a vertical flat plate embedded in a porous medium saturated with the non-Newtonian fluid is studied. Similarity solutions are obtained for a given form of the internal heat generation. It is found that the present results are in very good agreement with those known from the literature.