RADIATIVE CONVECTIVE FLOW OF A VISCOELASTIC BIOFLUID WITH HEAT GENERATION IN A DEFORMABLE POROUS MEDIA

Abstract

This study investigates the effects of internal heat generation, radiation, and viscoelasticity on the convective flow of a biofluid through a deformable porous medium. Flow through a deformable porous medium is essential in a lot of physiological systems involving soft tissues; for instance, coronary blood flows through arteries with arteriosclerosis. Deformability occurs in systems that allow flows with highly viscous pressure force through elastic porous materials. Based on this assumption, a new mathematical model for the nonlinear convective flow for high temperature difference is formulated. In this regard, this investigation addresses the steady internal heat generation, radiation, and viscoelasticity on the convective flow of a biofluid through a deformable porous medium. The governing equations are formulated for the solid displacement, flow velocity and energy equations based on fully developed flow assumptions and one-directional flow within the impervious vertical walls. The dimensionless version of the governing equations is solved based on the Spectral Chebyshev Collocation procedures and validated by the fourth-order Shooting –Runge-Kutta Scheme. In the limiting case, the Spectral Quasilinearization method is applied and used for validation with the existing literature work. Graphical results are displayed to explain the effects of each flow parameter. The results demonstrate that internal heat generation enhances fluid velocity and temperature, while the viscoelastic characteristics and deformability of the porous medium critically affect flow dynamics.