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首页> 外文期刊>Journal of engineering mathematics >Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids: slender rivulets and dry patches
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Similarity solutions for unsteady shear-stress-driven flow of Newtonian and power-law fluids: slender rivulets and dry patches

机译：牛顿流体和幂律流体的非定常剪切应力驱动流的相似解决方案：细长的铆钉和干燥斑块

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摘要

Unsteady flow of a thin film of a Newtonian fluid or a non-Newtonian power-law fluid with power-law index N driven by a constant shear stress applied at the free surface, on a plane inclined at an angle α to the horizontal, is considered. Unsteady similarity solutions representing flow of slender rivulets and flow around slender dry patches are obtained. Specifically, solutions are obtained for converging sessile rivulets (0 < α < n/2) and converging dry patches in a pendent film (π/2 < α < π), as well as for diverging pendent rivulets and diverging dry patches in a sessile film. These solutions predict that at any time t, the rivulet and dry patch widen or narrow according to |x|~(3/2), and the film thickens or thins according to |x|, where x denotes distance down the plane, and that at any station x, the rivulet and dry patch widen or narrow like |t|~(-1), and the film thickens or thins like |t|~(-1), independent of N.
机译：牛顿流体或非牛顿幂律流体的薄膜的非定常流动是由施加在自由表面上的恒定剪应力驱动的，该定律指数为N，该恒定剪切应力施加在自由表面上，该平面相对于水平线倾斜角度为α考虑过的。获得了代表细长的小溪流动和细长的干斑块周围流动的非稳态相似解。具体而言，获得了解决方案，以使无柄小溪收敛（0 <α

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  • 来源
    《Journal of engineering mathematics》 |2012年第1期|p.53-69|共17页
  • 作者

    Y. M. Yatim; B. R. Duffy; S. K. Wilson;

  • 作者单位

    Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street,Glasgow Gl 1XH, UK,School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;

    Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street,Glasgow Gl 1XH, UK;

    Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street,Glasgow Gl 1XH, UK;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    dry patch; power-law fluid; rivulet; similarity solution; thin film; unsteady flow;

    机译：干补丁幂律流体溪流;相似性解决方案;薄膜;不稳定流动;

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