Abstract
The major focus of this article is to analyze the forced convective heat transfer in a steady boundary layer flow of Sisko fluid over a nonlinear stretching sheet. Two cases are studied, namely (i) the sheet with variable temperature (PST case) and (ii) the sheet with variable heat flux (PHF case). The heat transfer aspects are investigated for both integer and non-integer values of the power-law index. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations using appropriate similarity variables and solved numerically. The numerical results are obtained by the shooting method using adaptive Runge Kutta method with Broyden’s method in the domain. The numerical results for the temperature field are found to be strongly dependent upon the power-law index, stretching parameter, wall temperature parameter, material parameter of the Sisko fluid and Prandtl number. In addition, the local Nusselt number versus wall temperature parameter is also graphed and tabulated for different values of pertaining parameters. Further, numerical results are validated by comparison with exact solutions as well as previously published results in the literature.
Highlights
The flow and heat transfer over stretching surfaces are relevant to many technological processes
Some investigations dealing with the flow and heat transfer over nonlinear stretching surface are reported in Refs. [2,3,4,5,6]
The main aim of the present study is to investigate the heat transfer to a Sisko fluid over a nonlinear stretching sheet with the non-isothermal wall temperature and variable heat flux boundary conditions
Summary
The flow and heat transfer over stretching surfaces are relevant to many technological processes. The study of boundary layer flow and heat transfer induced by stretching heated surface has attracted considerable attention of many researchers. Starting from the pioneering work of Sakiadis [1] numerous aspects of momentum and heat transfer over a stretching sheet have been considered. Some investigations dealing with the flow and heat transfer over nonlinear stretching surface are reported in Refs. There is a voluminous body of knowledge that testifies the wide occurrence of non-Newtonian fluids in industrial sector including food, pharmaceutical, polymer and plastic, mineral suspensions, cosmetics, personal care products, toiletries, construction materials and biological products [7]. In view of overwhelming practical utility of non-Newtonian fluids, several researchers have proposed numerous models for non-Newtonian fluids, including the Sisko fluid model [8]. The three constants in the model can be chosen with great ease for specific fluids and model is found to be good in predicting the shear thinning and shear thickening behaviors
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