Abstract
The analysis on mathematical model of Williamson fluid on the convective boundary layer flow and heat transfer over a horizontal stretching sheet has been carried out. The model is constructed by introducing the aligned magnetic field on the flow region under the case of convective boundary conditions which is implies the fluid heated from the stretching surface. The numerical method of Runge-Kutta Fehlberg (RKF45) is employed to the ordinary differential equations after being transformed from the governing equations by using suitable similarity transformation. The solutions of several influencing parameters on the velocity and temperature profiles are discussed and displayed in graphical form. The results of this study indicate that the increasing magnetic field parameter decreases the fluid velocity which suppressed the fluid motion.
Highlights
Convective heat transfer and fluid flow over a stretching sheet has been one of the major interesting research subjects either from the theoretical perspectives and experimental practices because of the rapid development in the industrial manufacturing process for metal and polymer sheet
The Newtonian fluid flow with constant wall temperature (CWT) and constant heat flux (CHF) boundary conditions are applied on the surface of several geometries have been attempted, such as the works of [1-4] for the heat transfer analysis
The mathematical formulation of Williamson fluid flow over a heated stretching sheet induced by convective boundary condition with the influence of aligned magnetic field on the flow region is numerically solved
Summary
Convective heat transfer and fluid flow over a stretching sheet has been one of the major interesting research subjects either from the theoretical perspectives and experimental practices because of the rapid development in the industrial manufacturing process for metal and polymer sheet. The quality of the sheet production is solely depended on the types of fluid and heat transfer diffusivity with certain particular effects that might prevails the whole process To cover such dimension, numerous studies have concentrated on Newtonian and non-Newtonian fluid together with the effect of magnetic field, viscous dissipation, stretching parameter, different thermal boundary conditions and etc. The Newtonian fluid flow with constant wall temperature (CWT) and constant heat flux (CHF) boundary conditions are applied on the surface of several geometries have been attempted, such as the works of [1-4] for the heat transfer analysis It is seemed relevant assumption for the heated body surface resulting from the convection of hot fluid which has been analyzed by Aziz [5]. The numerical results for velocity and temperature profiles are obtained using Runge-Kutta Fehlberg (RKF45) method
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