Abstract
The extrusion process of polymers in the industry is greatly depends on the heat transport mechanism in the viscoelastic fluid flow for the better quality of product. Therefore, nowadays, the researchers deeply investigate the properties of thermal transport in the flow with various physical effects. This research article is proposed to study the rheology of stagnation point flow of viscoelastic fluid over the vertical stretching cylinder with the impact of buoyancy force. The non-Fourier's heat flux model is considered here for the transportation of thermal energy in fluid flow. Additionally, the analysis for two types of surface heating agents, namely constant wall temperature (CWT) and prescribed surface temperature (PST) is performed. The resulting partial differential equations for governing the flow and heat transport problem are transformed into ordinary differential system through suitable similarity variables. Numerical solutions are obtained by utilizing bvp4c built in MATLAB technique. The acquired results for temperature field are presented graphically with the comparison of CWT and PST. The outcomes of present study reveal that higher rate of heat transfer is observed in the case of CWT. Moreover, it is noted that higher values of buoyancy parameter enhance fluid flow velocity for assisting mode. The increasing values of thermal relaxation time parameter decrease the heat transport in the fluid. A comparison is given of surface velocity gradient for magnetic parameter and Deborah number with existing literature.