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Dual Solutions of Non-Newtonian Casson Fluid Flow and Heat Transfer over an Exponentially Permeable Shrinking Sheet with Viscous Dissipation

机译:具有粘性耗散的指数可渗透收缩板上非牛顿卡森流体流动和传热的双重解

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摘要

The two-dimensional boundary layer flow of a non-Newtonian Casson fluid and heat transfer due to an exponentially permeable shrinking sheet with viscous dissipation is investigated. Using similarity transformations, the governing momentum and energy equations are transformed to self-similar nonlinear ODEs and then those are solved numerically by very efficient shooting method. The analysis explores many important aspects of flow and heat transfer of the aforesaid non-Newtonian fluid flow dynamics. For the steady flow of non-Newtonian Casson fluid, more amount of wall mass suction through the porous sheet is required in comparison to that of Newtonian fluid flow. Dual similarity solutions are obtained for velocity and temperature. The viscous dissipation effect has major impact on the heat transfer characteristic. In fact, heat absorption at the surface occurs and it increases due to viscous dissipation. For higher Prandtl number, the temperature inside the boundary layer reduces, but with larger Eckert number (viscous dissipation) it is enhanced.
机译:研究了非牛顿级Casson流体的二维边界层流动和由于具有粘性耗散的指数可渗透收缩片引起的热传递。使用相似变换,将控制动量和能量方程式转换为自相似的非线性ODE,然后通过非常有效的射击方法对其进行数值求解。分析探索了上述非牛顿流体流动动力学的流动和传热的许多重要方面。为了使非牛顿卡森流体稳定流动,与牛顿流体流动相比,需要更多的壁质量通过多孔片的抽吸。获得了速度和温度的双重相似性解。粘性耗散效应对传热特性有重要影响。实际上,在表面发生吸热,并且由于粘性耗散而增加。对于较高的Prandtl数,边界层内部的温度会降低,但是随着Eckert数(粘滞耗散)的增加,温度会提高。

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  • 来源
    《Modelling and simulation in engineering》 |2016年第2016期|6968371.1-6968371.8|共8页
  • 作者单位

    Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal, Karachi, Pakistan;

    Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, Uttar Pradesh 221005, India;

    Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh;

    Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia JB, 81310 Skudai, Johor, Malaysia;

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