Unsteady Heat and Mass Transfer MHD Flow of Nano-Fluids with Buoyancy and Variable Thermal Conductivity

Abstract: Scientists and engineers have conducted a considerable lot of experimental and theoretical study to increase the productivity of industrial operations. Experimental evidence from engineers and scientists shows that heat transfer is necessary for excellent multi scale production naturally, continuous phase liquids are used to achieve thermal characteristics. However, due to the limitations of heat transmission, their significance is constrained. We present a mathematical model for unsteady heat and mass transfer in MHD flow of Nano-fluid with buoyancy and variable thermal conductivity. Using self-similar variables, the coupled non-linear system of equations governing the boundary-layer flows of Nano-fluids were converted into a two-point boundary value problem. The dsolve command with the numeric option on a real-valued two-point boundary value problem (BVP) is used to finds a numerical solution for our system of equations. Computation is performed in both hardware precision and arbitrary precision. The output of the computation is plotted using the ode plot generator odeplot and displayed using Maple plot display, and wall rate transfer is extracted. From the result, increase in thermal buoyancy, unsteadiness parameter and suction parameter are seen to increase velocity distributions. Temperature boundary layer is enhanced with increase in unsteadiness parameter, Brownian motion parameter and Eckert number while radiation, thermophoretic diffusion parameter, reactivity parameter, thermal conductivity and suction enhances species concentration.

Keywords: Unsteady, Heat and Mass Transfer, Nano-Fluids, Buoyance, Variable Thermal Conduction, thermo-gravitational, Navier Stokes, magneto hydrodynamics.

Title: Unsteady Heat and Mass Transfer MHD Flow of Nano-Fluids with Buoyancy and Variable Thermal Conductivity

Author: Akindele M. Okedoye, Azeez A. Waheed, Olufemi. A. Akinyemi

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 80-93

Research Publish Journals

Website: www.researchpublish.com

Published Date: 23-February-2023

DOI: https://doi.org/10.5281/zenodo.7669943

Paper Download Link (Source)

https://www.researchpublish.com/papers/unsteady-heat-and-mass-transfer-mhd-flow-of-nano-fluids-with-buoyancy-and-variable-thermal-conductivity