Radiative MHD Nanofluid Flow Due to a Linearly Stretching Sheet with Convective Heating and Viscous Dissipation

• Published in: Mathematics (Basel) 2022-12, Vol.10 (24), p.4743
• Main Authors: Alrihieli, Haifaa, Alrehili, Mohammed, Megahed, Ahmed M.
• Format: Article
• Language: English
• Subjects: Approximation; Boundary conditions; Boundary layer flow; Brownian motion; Coefficient of friction; Conductivity; Convection; convective boundary condition; Dimensionless numbers; Dissipation; Energy dissipation; Fluid flow; Fluids; Heat; Heat conductivity; Heat transfer; Laminar boundary layer; Laminar flow; Linear models (Statistics); Linear regression models; Magnetic fields; Magnetohydrodynamics; Mass transfer; Mathematical research; Mathematics; Maxwell nanofluid; Nanofluids; Nanoparticles; Nanotechnology; Nonlinear differential equations; Ordinary differential equations; Partial differential equations; Radiation; Radiative transfer; Reynolds number; Shear stress; Skin friction; Slip velocity; Stretching; Thermal conductivity; Thermal radiation; Thermophoresis; Two dimensional boundary layer; variable conductivity; Velocity; Viscosity; viscous dissipation; Viscous flow
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math10244743

This article describes a two-dimensional steady laminar boundary layer flow and heat mass transfer caused by a non-Newtonian nanofluid due to a horizontally stretching sheet. The non-dimensional parameters take into consideration and regulate the effects of convective boundary condition, slip velocity, Brownian motion, thermophoresis and viscous dissipation. The thermal radiation, which affects the flow’s thermal conductivity and the nanofluid’s variable viscosity are also taken into consideration. We propose that a hot fluid could exist beneath the stretching sheet’s bottom surface, which could aid in warming the surface via convection. The physical boundary conditions are non-dimensionalized, as are the governing transport set of nonlinear partial differential equations. By using the shooting approach, numerical values for dimensionless velocity, temperature and nanoparticle concentration are achieved. Distributions of velocity, temperature and concentration are plotted against a number of newly important governing factors, and the outcomes are then provided in accordance with those graphs. Additionally, the local skin-friction coefficient, the local Sherwood number and the local Nusselt number are discussed in order to further clarify and thoroughly explain the current problem. In order to validate the numerical results, comparisons are made with previously published data in the literature. There is a really good accord. Additionally, the current work has implications in the nanofluid applications.