Linear regression analysis of MHD Maxwell nanofluid flow over a stretched surface of varying thickness with heat flux and chemical reaction

Abstract

Non-Newtonian materials have been an appealing topic for researchers because of the variety of laboratory and industrial process involving these fluids. There are several kinds of non-Newtonian fluids classified according to their properties. In this study, the Maxwell fluid model is analyzed due to the unique properties and applications of this non-Newtonian material. We have considered the Buongiorno model for nanofluid, which is a two-phase model that accounts for the effects of Brownian motion and thermophoresis on the transport of nanoparticles in a fluid. A stretching surface holding a chemically reactive fluid is assumed. In addition, the study also considers the impacts of heat flux and magnetic fields. The influence of various physical factors on the flow fields is presented and graphically highlighted. Using linear regression and the data point approach, the relationship between the physical parameters, such as rate of heat and mass transfer, at the surface is investigated. The relationship between the various physical parameters was investigated using the t-test approach. The Maxwell fluid parameter influences heat transmission at the surface. As the magnetic field and heat source parameters increases, the rate of heat transfer decreases. Increasing the Deborah number, chemical reaction parameter and magnetic field parameter enhances the mass transfer rate at the surface. The fluid’s velocity decreases with rising magnetic field and Maxwell fluid parameters. The heat source parameter elevates fluid temperature, while inclusion of the chemical reactions parameter reduces nanoparticle concentration.