Title: Numerical study of entropy generation analysis for non-Newtonian MHD flow of blood in a porous channel with partial slip
Authors: Mamata Parida; Sudarsan Padhy
Addresses: Department of Mathematics, Utkal University, Bhubaneswar, 751 004, India ' Department of Mathematics, Utkal University, Bhubaneswar, 751 004, India
Abstract: In the present work, a numerical investigation of magnetohydrodynamic flow of blood through an arterial segment is carried out. A mathematical model of the problem is presented by considering blood as a third grade fluid and the arterial wall is chosen to be porous having partial slip. The governing momentum equation is discretised by finite element method and the obtained system of non-linear algebraic equations is solved by damped Newton's method. A quantitative analysis is made through numerical computations and graphical presentation of velocity and temperature for different pertinent parameters. In addition, the second law analysis for the physiological fluid is examined and influence of important parameters on entropy generation rate and irreversibility ratio are discussed. Our analysis indicates that flow rate and irreversibility ratio increases with increase in third grade fluid parameter, whereas magnetic parameter produces reverse effect on these profiles.
Keywords: entropy generation; slip effects; Hartmann number; third-grade fluid; Bejan number; irreversibility ratio; porous medium; Damped Newton's method; Brinkman number; magnetohydrodynamics.
International Journal of Computing Science and Mathematics, 2021 Vol.13 No.4, pp.331 - 352
Accepted: 09 Dec 2019
Published online: 15 Sep 2021 *