A theoretical investigation on the flow of nonlinear magnetohydrodynamic (MHD), laminar, viscous, incompressible boundary layer fluid with thermal radiative heat transfer and variable properties past a stretching plate was carried out. The liquid is taken to be gray, absorbing, emitting but with non-scattering medium. The main nonlinear equations governing the flow are reduced to ordinary differential equations by using appropriate similarity variables and quantities. The obtained nonlinear equations are computationally solved by applying shooting techniques coupled with Nachtsheim-Swigert method for asymptotic satisfaction of boundary conditions by fourth order Runge-Kutta scheme. The computational results for momentum and heat distribution are obtained for various values of the emerging parameters. The results for the coefficient of skin friction and dimensionless heat gradient are likewise obtained for different physical parameters values. From the study, it was observed that the parameters which enhanced the heat source terms decreased the fluid viscosity and caused increase in the flow rate. Also, parameter that reduced heat source terms encouraged viscosity which resulted in retardation of the fluid velocity.
Abdou M. Effect of radiation with temperature dependent and thermal conductivity on unsteady a stretching sheet through porous media. Nonlinear Analysis: Modeling and Control. 2010;(3):257–70.
2.
Ch C, H. Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. J Non-Newton fluid. 2006;(2–3):128–35.
3.
Devi S, Gururaj D. Effects of variable viscosity and nonlinear radiation on MHD flow with heat transfer over a surface stretching with a power-law velocity. Advances in Applied Science Research. 2012;(1):319–34.
4.
Hassan A, Gbadeyan J, Salawu S. The effects of thermal radiation on a reactive hydromagnetic internal heat generating fluid flow through parallel porous plates. 2018;183–93.
5.
Hayat T, Shehzad S, Alsaedi A. Three-dimensional stretched flow of Jeffrey fluid with variable thermal conductivity and thermal radiation. Appl Math Mech Engl Ed. 2013;(7):823–32.
6.
Hazarika G, Us G. Effects of variable viscosity and thermal conductivity on MHD flow past a vertical plate. Escuela Regional de Matematicas. 2012;(2):45–54.
7.
Kareem R, Salawu S, Yan Y. Analysis of transient Rivlin-Ericksen fluid and irreversibility of exothermic reactive hydromagnetic Variable Viscosity. J Appl Comput Mech. 2020;(1):26–36.
8.
Kareem R, Salawu S, Gbadeyan J. Numerical analysis of non-uniform heat Source/Sink in a radiative micropolar variable electric conductivity fluid with dissipation Joule heating. American Journal of Applied Mathematics. 2018;(2):34–41.
9.
Modather M, Abdou M, El-Kabeir S. Magnetohydrodynamics and radiative effect on free convection flow of fluid with variable viscosity from a vertical plate through a porous medium. J Porous Media. 2007;(5):503–56.
10.
Okedoye A. On the unsteady free convective flow with Radiative heat transfer of Sisko fluid. Int J of Innovative Science, Engineering & Technology. 2015;(5):427–37.
11.
Okedoye A, Akinrinmade V, Onifade Y. The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. Confluence Journal of Pure and Applied Science, l1. 2017;(1):60–9.
12.
Pantokratoras A. The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. International Journal of Thermal Sciences. 2006;45:60–9.
13.
Patowary G. Effect of variable viscosity and thermal conductivity of micropolar fluid in a porous channel in presence of magnetic field. International Journal for Basic Sciences and Social Sciences. 2012;(3):69–77.
14.
Rani H, Reddy G, Kim C. Transient analysis of diffusive chemical reactive species for couple stress fluid flow over vertical cylinder. Appl Math Mech Engl Ed. 2013;(8):985–1000.
15.
Salawu S, Ogunseye H. Entropy generation of a radiative hydromagnetic Powell-Eyring chemical reaction nanofluid with variable conductivity and electric field loading. Results in Engineering. 2020;100072.
16.
Salawu. Analysis of third-grade heat absorption hydromagnetic exothermic chemical reactive flow in a Darcy-forchheimer porous medium with convective cooling. WSEAS Transaction on Mathematics. 2018;280–9.
17.
Salawu S, Dada M. Lie group analysis of soret and dufour effects on radiative inclined magnetic pressure-driven flow past a Darcy-forchheimer medium. Journal of the Serbian Society for Computational Mechanics. 2018;(1):108–25.
18.
Salawu S, Fatunmbi E. Inherent Irreversibility of Hydromagnetic Third-Grade Reactive Poiseuille Flow of a Variable Viscosity in Porous Media with Convective Cooling. Journal of the Serbian Society for Computational Mech. 2017;46–58.
19.
Salawu S, Ogunseye H, Olanrewaju A. Dynamical analysis of unsteady Poiseuille flow of two-step exothermic non-Newtonian chemical reactive fluid with variable viscosity. Int J of Mech Eng and Tech. 2018;(12):596–605.
20.
Salawu S, Okedoye A. Thermodynamic second law analysis of hydromagnetic gravity-driven two-step exothermic chemical reactive flow with heat absorption along a channel. Iranian Journal of Energy and Environment. 2018;(2):114–20.
21.
Salawu S, Dada M. Radiative heat transfer of variable viscosity and thermal conductivity effects on inclined magnetic field with dissipation in a non-Darcy medium. Journal of the Nigerian Mathematical Society. 2016;93–106.
22.
Salawu S, Oke S. Inherent irreversibility of exothermic chemical reactive third-grade Poiseuille flow of a variable viscosity with convective cooling. J Appl Comput Mech. 2018;(3):167–74.
23.
Salem A. Variable viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet. Phys Letter, A. 2007;(4):315–22.
24.
Seth G, Hussain S, Singh J. MHD Couette flow of class-II in a rotating system. J Appl Math and Bioinformatics. 2011;31–54.
25.
Sharidan S, Mahmood T, Pop I. Similarity solution for the unsteady boundary layer flow and heat transfer due to a stretching sheet. Int J Appl Mech Mech Eng. 2016;(3):647–54.
26.
Yurusoy M. Unsteady boundary layer flow of power-law fluid on stretching sheet surface. Int J Eng Sci. 2006;(5–6):325–32.
The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.
