Thermal radiation effects on stagnation point flow past a stretching/shrinking sheet in a Maxwell fluid with slip condition

Abstract

Abstract. In this study, the numerical solution of the thermal radiation effects on a stagnation point flow past a stretching/shrinking sheet in a Maxwell fluid with slip condition is considered. The transformed boundary layer equations are solved numerically using the Runge-Kutta-Fehlberg (RKF) method. Numerical solutions are obtained for the skin friction coefficient and the wall temperature as well as the temperature and the velocity profiles. The features of the flow and the heat transfer characteristics for various values of Prandtl number, stretching/shrinking parameter, thermal radiation parameter, Maxwell parameter, dimensionless velocity slip parameter and thermal slip parameter are analyzed and discussed. IntroductionUnderstanding the behaviour of convective boundary layer flow on a stretching sheet is important in industrial manufacturing processes. This includes both metal and polymer sheets such as the cooling of metallic plate, blowing glass and spinning fibre for paper production. Previous study by Crane [1], proposed a mathematical solution for two-dimensional flow of stretching surface in a inert fluid. Other researchers deliberated several aspects in this problem and attained similar results. Another research paper published by Gupta and Gupta [2] had investigated the mass transfer and the heat for thin layer of viscous fluid over stretching sheet with a moving stream of suction or a blowing. Further improvement was made by analysed the performance of laminar boundary layer flow over a continuous and linearly stretching sheet and its effect on the heat transfer [3].The stagnation point of boundary layer flow over shrinking surface was introduced by Wang [4] and Salleh et al. [5]. The stagnation point is a region where maximum pressure, highest rates of heat transfer and mass loss were encountered [4]. Problem associated with boundary layer flows on stagnation point and stretching surface has fascinated many researchers. This type of problem was extended to other type of industrial fluid like a viscoelastic fluid, micropolar fluid, nanofluid and Maxwell fluid [6]- [10].

The Velocity Slip Boundary Condition Effects on Non-Newtonian Ferrofluid over a Stretching Sheet

“…e studies of slip flow of a non-Newtonian fluid have motivated various searchers because of a large number of applications in industrial and engineering sectors in the modern age. Ishak et al [38] utilized the slip condition for the stagnation point flow of the Maxwell fluid ring surface.…”

Effects of radiation and heat generation for non‐Newtonian fluid flow over slendering stretching sheet: Numerically

“…Ishak et al. [15] inspected the flow of Maxwell fluid with the existence of thermal radiation and slip condition. To find the influences of supposition for non‐viscous liquid, Kumar et al.…”

“…Sulochana et al [14] discussed non-viscous liquid as the flow over a stretching sheet. Ishak et al [15] inspected the flow of Maxwell fluid with the existence of thermal radiation and slip condition. To find the influences of supposition for non-viscous liquid, Kumar et al [16] considered the nanofluid flow through infinite vertical plate.…”

Effect of nonlinear partial slip and thermal radiation on Oldroyd 8‐constant fluid in a channel with convective boundary condition

“…Magahed studied the influence of slip and thermal radiation effect on the flow and heat transfer of Power‐law fluid with variable viscosity. Ishak et al studied two‐dimensional stagnation point flow of viscoelastic Maxwell fluid with combined effects of slip and thermal radiation.…”