IJPAM: Volume 54, No. 2 (2009)

NON-ISOTHERMAL EFFECT ON THE MOTION OF
A PARTICULATE FLOW BETWEEN TWO PARALLEL PLATES

S.O. Ajadi$^1$, S.A. Odejide$^2$, A.G. Fareo$^3$
$^{1,2}$Department of Mathematics
Obafemi Awolowo University
Ile-Ife, NIGERIA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^3$African Institute for Mathematical Sciences
Capetown, SOUTH AFRICA
e-mail: [email protected]


Abstract.The non-isothermal flow of dusty, viscous, incompressible conducting fluid between two oscillatory parallel plates is studied. This flow is described by the continuity, momentum and the energy equation, which accounts for the heat and mass transfer. Closed-form solutions method initiated by the boundary conditions were obtained for zero and non-zero pressure gradient. These solutions show that the non-isothermal nature of the flow has led to a dramatic departure from the isothermal case (see Ajadi [1], Ganguly and Lahiri [6]). The solutions were further demonstrated graphically to elucidate the significance of parameters such as Prandtl number ($P_r$), the magnetic parameter ($B_0$) and the Grashoff number ($G_r$) on the velocity profiles.

Received: August 7, 2006

AMS Subject Classification: 76S05, 35K57

Key Words and Phrases: incompressible fluid, non-isothermal, heat and mass transfer, particulate flow

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 2