SEMI-ANALYTICAL INVESTIGATION ON MHD OLDROYD-B NANOFLUID FLOW UNDER STRATIFICATION CONDITIONS VIA AN EXPONENTIALLY STRETCHING SURFACE

Abstract

In this paper, a semi-analytical method is used to investigate the effects of stratification conditions on the boundary layer MHD Oldroyd-B nanofluid flow passed through an exponentially stretching sheet. Thermal radiation, viscous dissipation, as well as thermophoretic velocity effects are taken into account. Microorganism theory is also considered to analyze the suspended nanoparticles through bioconvection. The consequences of several features regarding Heat and mass transfer have been addressed. Using suitable transformations, the dimensionless equations obtained and solved by homotopy analysis method (HAM). The behavior of all profiles is described graphically and numerically by using an appropriate set of input parameters. With increasing thermal stratification parameter and Deborah numbers with respect to the relaxation time of heat flux, the Nusselt number increases and decreases respectively. Mass flux decrease by increasing the concentration stratification parameter. The comparison with existing literature reveals a high level of agreement.