Instability of Variable Thermal Conductivity Magnetohydrodynamic Nanofluid Flow in a Vertical Porous Channel of Varying Width

• Published in: Diffusion and defect data. Solid state data. Pt. A, Defect and diffusion forum Vol. 378; pp. 85 - 101
• Main Authors: Alam, Md. Sarwar, Khan, Md. Abdul Hakim, Makinde, Oluwole Daniel
• Format: Journal Article
• Language: English
• Published: Zurich Trans Tech Publications Ltd 01.09.2017
• Subjects: Aluminum oxide; Computational fluid dynamics; Energy dissipation; Entropy; Flow stability; Fluid flow; Heat conductivity; Heat transfer; Lorentz force; Magnetohydrodynamic flow; Magnetohydrodynamics; Mathematical models; Nanofluids; Nonlinear differential equations; Nonlinear equations; Ohmic dissipation; Ordinary differential equations; Partial differential equations; Physical properties; Porous walls; Power series; Resistance heating; Shear stress; Stability analysis; Thermal conductivity; Thermal energy; Transverse momentum; Bifurcation; Varying Width; Irreversibility Analysis; Nanofluid; Porous Wall; Variable Thermal Conductivity
• ISSN: 1012-0386; 1662-9507; 1662-9507
• DOI: 10.4028/www.scientific.net/DDF.378.85

A numerical investigation is performed into the heat transfer and entropy generation of a variable thermal conductivity magnetohydrodynamic flow of Al2O3-water nanofluid in a vertical channel of varying width with right porous wall, which enable the fluid to enter. The effects of the Lorentz force, buoyancy force, viscous dissipation and Joule heating are considered and modeled using the transverse momentum and energy balance equations respectively. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using appropriate similarity transformations and then solved numerically using power series with Hermite-Padé approximation method. A stability analysis has been performed for the local rate of shear stress and Nusselt number that indicates the existence of dual solution branches. Numerical results are achieved for the fluid velocity, temperature as well as the rate of heat transfer at the wall and the entropy generation of the system. The present results are original and new for the flow and heat transfer past a channel of varying width in a nanofluid which shows that the physical parameters have significant effects on the flow field.