Generalized dispersion of unsteady convective diffusion in couple stress poorly conducting fluid bounded by porous layer in the presence of an electric field

1 Department of Mathematics, Global Academy of Technology, Rajarajeshwarinagar Bangalore 560 098
2 UGC-CAS in Fluid Mechanics, Department of Mathematics, Central College Campus, Bangalore University, Bangalore 560 001

World Journal of Engineering

ISSN: 1708-5284

Publication date: 27 December 2011

Abstract

We investigate in this paper the simultaneous effects of electric field, couple stress, porous parameter and slip at the permeable surface on the generalized dispersion of an unsteady convective diffusion in a poorly conducting fluid in a channel bounded by porous layers. A two dimensional flow has been considered and the resulting partial differential equations have been solved analytically. The solutions are computed and the results show that the solute is dispersed relative to a plane moving with the mean speed of couple stress poorly conducting fluid with a relative unsteady dispersion coefficient. These relative unsteady dispersion coefficients are numerically computed and found that they increase with the increase in porous parameter and decrease with an increase in couple stress parameters. We have also estimated the contribution of diffusion and pure convection on the generalized dispersion coefficient. The effect of pure convection, neglecting diffusion terms on mean concentration is computed and the results show that the effect of pure convection decreases mean concentration compared to combined effect of convection and diffusion.

Keywords

Citation

Mallika, K. and Rudraiah, N. (2011), "Generalized dispersion of unsteady convective diffusion in couple stress poorly conducting fluid bounded by porous layer in the presence of an electric field", World Journal of Engineering, Vol. 8 No. 4, pp. 335-346. https://doi.org/10.1260/1708-5284.8.4.335

Download as .RIS

Publisher

:

Emerald Group Publishing Limited

Please note you might not have access to this content

You may be able to access this content by login via Shibboleth, Open Athens or with your Emerald account.
If you would like to contact us about accessing this content, click the button and fill out the form.
To rent this content from Deepdyve, please click the button.