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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical solutions of non-alignment stagnation-point flow and heat transfer over a stretching/shrinking surface in a nanofluid
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Numerical solutions of non-alignment stagnation-point flow and heat transfer over a stretching/shrinking surface in a nanofluid

机译：纳米流体在拉伸/收缩表面上非对准停滞点流动和传热的数值解

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Purpose - The purpose of this paper is to analyse numerically the steady stagnation-point flow of a viscous and incompressible fluid over continuously non-aligned stretching or shrinking surface in its own plane in a water-based nanofluid which contains three different types of nanoparticles, namely, Cu, Al_2O_3 and TiO_2. Design/methodology/approach - Similarity transformation is used to convert the system of boundary layer equations which are in the form of partial differential equations into a system of ordinary differential equations. The system of similarity governing equations is then reduced to a system of first-order differential equations and solved numerically using the bvp4c function in Matlab software. Findings - Unique solution exists when the surface is stretched and dual solutions exist as the surface shrunk. For the dual solutions, stability analysis has revealed that the first solution (upper branch) is stable and physically realizable, while the second solution (lower branch) is unstable. The effect of non-alignment is huge for the shrinking surface which is in contrast with the stretching surface. Practical implications - The results obtained can be used to explain the characteristics and applications of nanofluids, which are widely used as coolants, lubricants, heat exchangers and micro-channel heat sinks. This problem also applies to some situations such as materials which are manufactured by extrusion, production of glass-fibre and shrinking balloon. In this kind of circumstance, the rate of cooling and the stretching/shrinking process play an important role in moulding the final product according to preferable features. Originality/value - The present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface for the problem considered by Wang (2008) in a viscous fluid and extends to nanofluid by using the Tiwari and Das (2007) model.
机译：目的-本文的目的是在包含三种不同类型纳米粒子的水基纳米流体中，数值分析粘性和不可压缩流体在其自身平面上连续不对齐的拉伸或收缩表面上的稳态停滞点流动，即Cu，Al_2O_3和TiO_2。设计/方法/方法-相似变换用于将边界层方程组（以偏微分方程的形式）转换为常微分方程组。然后将相似性控制方程组简化为一阶微分方程组，并使用Matlab软件中的bvp4c函数进行数值求解。结果-拉伸表面时存在唯一的解决方案，而表面收缩时则存在双重解决方案。对于双重解决方案，稳定性分析表明，第一个解决方案（上部分支）是稳定且可物理实现的，而第二个解决方案（下部分支）则是不稳定的。与拉伸表面相反，未对准的作用对于收缩表面是巨大的。实际意义-所获得的结果可用于解释纳米流体的特性和应用，纳米流体被广泛用作冷却剂，润滑剂，热交换器和微通道散热器。这个问题也适用于某些情况，例如通过挤压制造的材料，玻璃纤维的生产和热缩球囊。在这种情况下，冷却速度和拉伸/收缩过程在根据优选特征成型最终产品中起重要作用。原创性/价值-对于汪（2008）在粘性流体中考虑的问题，目前的结果对于研究在拉伸/收缩表面上的流体流动和传热是新颖的，并且通过使用Tiwari和Das（ 2007）模型。

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