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research-article

Thermo-capillarity effects on power-law liquids thin film over an unsteady stretching sheet

[+] Author and Article Information
Tingting Liu

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
liutingting20150@163.com

Liancun Zheng

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
liancunzheng@163.com

Yiming Ding

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China
dingyiming0822@126.com

Lin Liu

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China
liulin1020@126.com

1Corresponding author.

ASME doi:10.1115/1.4036872 History: Received November 23, 2016; Revised May 23, 2017

Abstract

This paper investigates the effects of thermo-capillarity on the flow and heat transfer in power-law liquid film over an unsteady stretching sheet. The surface tension is assumed to vary linearly with temperature and the thermal conductivity of the fluid is assumed power-law-dependent on the velocity gradient with modified Fourier’s law. The local similarity solutions are obtained numerically and some interesting new phenomena are found. Results indicate that the thermally-induced surface tension provides an opposite force in the direction of the stretching sheet which may cause the fluid adjacent to the free surface flows in the opposite directions. The effect of thermo-capillarity tends to decrease the thin film thickness and results in a smaller temperature distribution. With increasing unsteadiness parameter, the thin film thickness has a local maximum and thermal boundary layer is confined to the lower part of the thin film for bigger Prandtl number, while the temperature in the thin film remains equal to the slit temperature with Prandtl number close to 0.

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