Authors : Abdul. G. Madaki and A.A. Hussaini
Abstract: A numerical investigation is presented to show the effects of convective nanofluid flow with heat generation/absorption over a linearly stretching sheet by considering thermophoresis and Brownian motion in the presence of heat generation/absorption. A suitable set of similarity transformations are used together with the boundary conditions in order to convert the basic partial differential equations into a set of corresponding nonlinear ordinary differential equations. Runge-Kutta- Fehlberg method along with shooting technique is involved in order to solve the reduced governing basic equations. The influences of several emerging physical parameters of nanofluid on the profiles of velocity, temperature and nanoparticle volume fraction, Nusselt number and Sherwood number have been studied and analyzed in detail through graphs and tables. It is noticed that, the reduced Sherwood number is a decreasing function with both heat generation/absorption parameters. It is also noticed that the Brownian motion and thermophoresis parameter have the reverse effects on nanofluid Sherwood number. It is analyzed that the Nusselt number decreases with an increase in the values of thermophoresis parameter, Brownian motion parameter. It is observed that the Sherwood number has ascending behavior for thermophoresis and Brownian motion parameters whereas nanofluid Sherwood number gets amplified with a hike for all the values of Brownian motion parameter.
Abdul. G. Madaki and A.A. Hussaini, 2021. Modified Mathematical Model on the Study of Convective MHD Nanofluid Flow with Heat Generation/Absorption along with Thermophoresis and Brownian Motion on Boundary Layer Flow over a Linearly Stretching Sheet. Journal of Modern Mathematics and Statistics, 15: 39-46.