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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Unsteady convective heat and mass transfer of a nanofluid in Howarth's stagnation point by Buongiorno's model
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Unsteady convective heat and mass transfer of a nanofluid in Howarth's stagnation point by Buongiorno's model

机译：Buongiorno模型在Howarth停滞点的纳米流体的非稳态对流传热和传质

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Purpose - The purpose of this paper is to do a comprehensive study on the unsteady general three-dimensional stagnation-point flow and heat transfer of a nanofluid by Buongiorno's model. Design/methodology/approach - In this study, the convective transport equations include the effects of Brownian motion and thermophoresis. By introducing new similarity transformations for velocity, temperature and nanoparticle volume fraction, the basic equations governing the flow, heat and mass transfer are reduced into highly non-linear ordinary differential equations. The resulting non-linear system has been solved both analytically and numerically. Findings - The analysis shows that velocity, temperature and nanoparticle concentration profiles in the respective boundary layers depend on five parameters, namely unsteadiness parameter A, Brownian motion parameter Nb, thermophoresis parameter Nt, Prandtl number Pr and Lewis number Le. It is found that the thermal boundary layer thickens with a rise in both of the Brownian motion and the thermophoresis effects. Therefore, similar to the earlier reported results, the Nusselt number decreases as the Brownian motion and thermophoresis effects become stronger. A correlation for the Nusselt number has been developed based on a regression analysis of the data. This correlation predicts the numerical results with a maximum error of 9 percent for a usual domain of the physical parameters. Originality/value - The stagnation point flow toward a wavy cylinder (with nodal and saddle stagnation points) that a little attention has been given to it up to now. The examination of unsteadiness effect on the general three-dimensional stagnation-point flow. The application of an interesting and global model (Boungiorno's model) for the nanofluid that incorporates the effects of Brownian motion and thermophoresis. The study of the effects of Brownian motion and thermophoresis on the nanofluid flow, heat and mass transfer characteristics. The prediction of correlation for the Nusselt number based on a regression analysis of the data. General speaking, we can tell the problem with this geometry, characteristics, the applied model, and comprehensive results, was Not studied and analyzed in literature up to now.
机译：目的-本文的目的是通过Buongiorno模型对纳米流体的非稳态一般三维停滞点流动和传热进行全面研究。设计/方法/方法-在本研究中，对流输运方程包括布朗运动和热泳的影响。通过引入新的速度，温度和纳米粒子体积分数的相似性变换，控制流动，传热和传质的基本方程式被简化为高度非线性的常微分方程式。所得的非线性系统已通过解析和数值求解。研究结果-分析表明，相应边界层中的速度，温度和纳米颗粒浓度分布取决于五个参数，即不稳定参数A，布朗运动参数Nb，热泳参数Nt，普朗特数Pr和路易斯数Le。发现随着布朗运动和热泳效应的增加，热边界层变厚。因此，类似于早期报道的结果，随着布朗运动和热泳效应变得更强，努塞尔数减少。基于数据的回归分析，已经开发出Nusselt数的相关性。对于物理参数的通常范围，这种相关性可预测数值结果，最大误差为9％。独创性/值-停滞点流向波浪圆柱体（带有节点和鞍形停滞点），到目前为止，对此没有多少注意。不稳定对一般三维停滞点流的影响的检查。一个有趣的全局模型（Boungiorno模型）在纳米流体中的应用，该模型结合了布朗运动和热泳的影响。研究布朗运动和热泳对纳米流体流动，传热和传质特性的影响。基于数据的回归分析来预测Nusselt数的相关性。一般来说，我们可以说出这种几何形状，特性，应用模型和综合结果所带来的问题，到目前为止，尚未在文献中进行研究和分析。

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