• FREE CONVECTIVE VISCO-ELASTIC BOUNDARY LAYER FLOW PAST AN INCLINED PERMEABLE PLATE IN SLIP FLOW REGIME

Rita Choudhury*, Hillol Kanti Bhattacharjee, Debasish Dey

Abstract


An analytical study of two dimensional free convective boundary layer flow of an electrically conducting visco-elastic fluid past an inclined porous plate in slip flow regime has been investigated. The visco-elastic fluid flow is characterized by Walters liquid (Model B/). The suction of the plate is assumed to be constant. A magnetic field of strength B0 is applied normal to the plate. Let x-axis be taken along the inclined plate and y-axis be taken perpendicular to the plate. Navier’s generalized boundary conditions for slip flow regime have been used. The perturbation scheme has been used to solve the governing equations of the fluid motion. The approximate solutions for velocity and temperature fields have been derived. Results are discussed for the flow past a heated plate ( < 0) and flow past a cooled plate ( > 0). The velocity profiles have been shown graphically and the shearing stress at the plate is given in tabular form for various values of the visco-elastic parameter with the combination of other flow parameters involved in the solution.


Keywords


Walters liquid (Model B/), slip-flow regime, inclined plate, Grahof number, perturbation scheme.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter