NUMERICAL TREATMENT AND GLOBAL ERROR ESTIMATION OF NATURAL CONVECTIVE EFFECTS ON GLIDING MOTION OF BACTERIA ON A POWER-LAW NANOSLIME THROUGH A NON-DARCY POROUS MEDIUM

Abstract

© 2015 by Begell House, Inc. The problem of mixed convection of gliding motion of bacteria on power-law nanoslime through a non-Darcy porous medium has been analyzed.Non-Darcian and viscous dispersion effects have been considered in the present analysis. The governing boundary layer equations and boundary conditions are transformed into a dimensionless form and simplified under the assumptions of long wavelength and low Reynolds number. The numerical formula of the stream function, temperature, and nanoparticle distributions of the problem were illustrated graphically. First, we make a comparison between the non-Newtonian fluid and the Newtonian fluid for different values of total flux number F. Second, the effects of some parameters of the problem on the flow phenomena are numerically discussed in the case of shear thinning (m = -0.5). We conclude that, in the case of power-law fluid, by increasing both Br and Gr, the stream function increases, and by increasing Nt, the temperature increases but the nanoparticles decrease due to the contrary behavior of the temperature. Also, an estimation of the global error is calculated by using the Zadunaisky technique.