A Numerical Analysis on the Unsteady Flow of a Thermomagnetic Reactive Maxwell Nanofluid over a Stretching/Shrinking Sheet with Ohmic Dissipation and Brownian Motion

Abstract

The major objective of this current investigation is to examine the unsteady flow of a thermomagnetic reactive Maxwell nanofluid flow over a stretching/shrinking sheet with Ohmic dissipation and Brownian motion. Suitable similarity transformations were used to reduce the governing non-linear partial differential equations of momentum, energy and species conservation into a set of coupled ordinary differential equations. The reduced similarity ordinary differential equations were solved numerically using the Spectral Quasi-Linearization Method. The influence of some pertinent physical parameters on the velocity, temperature and concentration distributions was studied and analysed graphically. Further investigations were made on the impact of the Eckert number, Prandtl number, Schmidt number, thermal radiation parameter, Brownian motion parameter, thermophoresis parameter and chemical reaction parameter on the skin friction coefficient, surface heat and mass transfer rates. The results were displayed in a tabular form. Obtained results reveal that the Maxwell parameter and the unsteadiness parameter reduce the Maxwell nanofluid velocity and the fluid temperature is increased with an increase in the Eckert number and thermal radiation parameter.

Influence of magnetic field-dependent viscosity on Casson-based nanofluid boundary layers: A comprehensive analysis using Lie group and spectral quasi-linearization method

“…The coupled system of Equations (20) and (21) , along with the boundary conditions specified in Equation (22) , is solved using the SQLM [48] , [49] , [50] , [51] , [52] . These equations are expressed using nonlinear ordinary differential systems.…”

“…Occasionally, this approach exhibited slow convergence or even failed to yield a solution. However, it was reported that the utilization of SQLM demonstrates a significantly higher convergence rate compared to existing numerical techniques, and its iterative steps are relatively straightforward to implement [50] , [51] , [52] . The distinctive feature of SQLM, contributing to its widespread acceptance as a numerical technique, was reported to be its ability to break down a complex set of nonlinear equations into smaller subsystems that are inherently more manageable.…”

Numerical Investigation of Thermophoresis and Activation Energy Effects on Maxwell Nano Fluid Over an Inclined Magnetic Field Applied to a Disk

“…Khan et al [6] explored the flow of a Maxwell nanofluid over an infinitely tall vertical plate with ramped and isothermal wall temperature and concentration. Shateyi and Hillary [7] conducted a numerical analysis on the unsteady flow of a thermomagnetic reactive Maxwell nanofluid over a stretching or shrinking sheet, considering ohmic dissipation and Brownian motion. In their research, Jawad et al [8] conducted an analytical study on the mixed convection flow of an MHD Maxwell nanofluid, considering variable thermal conductivity as well as Soret and Dufour effects.…”

Effects of Heat Transfer on Flow of MHD Maxwell Nanofluid on Stretching and Shrinking Surfaces.

“…[1] analyzed unsteady three dimensional bio-convective flow of Maxwell nanofluid over an exponentially stretching sheet with variable thermal conductivity and chemical reaction. [33] examined the unsteady flow of a thermomagnetic reactive Maxwell nanofluid flow over a stretching/shrinking sheet with Ohmic dissipation and Brownian motion.…”