The purpose of this paper is to investigate the flow and heat transfer of power-law fluids over a non-linearly stretching sheet with non-Newtonian power-law stretching features.
The governing non-linear partial differential equations are reduced to a series of ordinary differential equations by suitable similarity transformations and the numerical solutions are obtained by the shooting method.
As the temperature power-law index or the power-law number of the fluids increases, the dimensionless stream function, dimensionless velocity and dimensionless temperature decrease, while the velocity boundary layer and temperature boundary layer become thinner for other fixed physical parameters. The thermal diffusivity varying as a function of the temperature gradient can be used to present the characteristics of flow and heat transfer of non-Newtonian power-law fluids.
Unlike classical works, the effect of power-law viscosity on the temperature field is considered by assuming that the temperature field is similar to the velocity field with modified Fourier’s law heat conduction for power-law fluid media.
The National Natural Science Foundations of China Nos 11702101 and 11626106, the Natural Science Foundation of Fujian Province No. 2019J05093, the Postgraduate Research Innovation Capacity Development Project Year 2018 and the Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University No. ZQN-PY502.
Yang, M. and Lin, Y. (2019), "Flow and heat transfer of non-Newtonian power-law fluids over a stretching surface with variable thermal conductivity", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 4, pp. 686-698. https://doi.org/10.1108/MMMS-08-2018-0147
Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited