CONVECTION DRIVEN FLOW BETWEEN MOVING DISKS- A NON-LINEAR APPROACH FOR MODELLING THERMAL RADIATION

Abstract

Flows involving two disks have significant applications in heat exchangers, rotating machinery parts, data storage devices, oceanography and viscometers. In this investigation, heat and mass transfer characteristics are examined in Casson flow between two orthogonally moving disks, with nonlinear thermal radiation under the slip and convective conditions, using the powerful tool of similarity transformation. A MATLAB code, based on quasi-linearization, has been developed for the numerical study. It is observed that, when the disks are receding, the disk expansion ratio raises the velocity profile near the center of the region between the two disks. The trend is, however, reversed when the disks are approaching each other. Moreover, all the governing parameters remarkably elevate the fluid temperature at a central region between the disks, for both cases. A remarkable lowering in concentration distribution is also noted with the Schmidt number and the chemical reaction parameter. Finally, compared to thermal and concentration profiles, it is the velocity distribution which is least affected.