Examination of warm transfer on extending sheet by variation iteration method strategy and investigation of arrangements for optimizing liquid properties

Abstract

This study aimed at investigating the variation of heat transfer and velocity changes of the fluid flow along the vertical line on a surface drawn from both sides. In the beginning, several parameters such as Prandtl number and viscoelastic effect were evaluated for heat transfer and fluid velocity by the variation iteration method. The results were compared with the numerical method. The second part of the description relates to the use Response surface method (RSM method) in the Design Expert software. In this paper, by using the RSM, optimized the fluid velocity and heat transfer passing from the stretching sheet. By increasing the Prandtl number, the convection heat transfer by 43% increased the ratio of the minimum Prandtl number. By balanced modes for Prandtl number and viscoelastic parameter and wall temperature, the best optimization occurred for fluid velocity and fluid temperature with f = 0.67 and θ = 0.606. The results of the Variation Iteration method are accurate for the nonlinear solution. As the value of k increases, the value of fluid velocity increased and by increasing the Prandtl number, the value of temperature decreases.