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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Thermodiffusion effects on boundary layer flow of viscoelastic nanofluids over a stretching sheet with viscous dissipation and non-uniform heat source using hp-finite element method
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Thermodiffusion effects on boundary layer flow of viscoelastic nanofluids over a stretching sheet with viscous dissipation and non-uniform heat source using hp-finite element method

机译：热扩散对粘弹性纳米流体在具有粘性耗散和非均匀热源的拉伸片上边界层流动的影响

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This paper theoretically investigates the conjugate effects of viscous dissipation and non-uniform heat source/ sink on the double-diffusive boundary layer flow of a viscoelastic nanofluid over a stretching sheet In this model, where binary nanofluid is used, the Brownian motion, thermophoresis and cross-diffusion are classified as the main mechanisms which are responsible for the enhancement of the convection features of the nanofluid. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of group theory transformations. Computations are made by the hp-Galerkin finite element method (FEM). The hp-FEM needs a smaller number of nodes and consequently, less computational time and less memory to achieve the same or even better accuracy than h-FEM. A detailed evaluation of the effects of the governing physical parameters on the velocity, temperature, solutal and nanoparticle concentration via graphical plots is conducted for two different cases, namely prescribed surface temperature (PST) and prescribed heat flux (PHF). The reduced Sherwood number (in PST-case) is observed to be increased with the effects of nanofluid and the modified Dufour parameter, whereas the contrary behaviour is computed for the surface solutal concentration in PHF-case. Heat transfer is increasing function of viscoelastic parameter and decreasing function of Brownian motion, thermophoresis, space and time dependent heat source/sink parameter and Eckert number. Mass transfer is increasing function of Eckert number, space and time dependent heat source/sink parameter and decreasing function of viscoelastic parameter.
机译：本文从理论上研究了粘性耗散和热源/散热不均匀对拉伸片上粘弹性纳米流体的双扩散边界层流的共轭效应。在该模型中，使用二元纳米流体，布朗运动，热泳和交叉扩散被归类为负责增强纳米流体对流特性的主要机制。由偏微分方程控制的边界层方程在群论变换的帮助下转换为一组常微分方程。通过hp-Galerkin有限元方法（FEM）进行计算。 hp-FEM需要较少的节点数，因此与h-FEM相比，需要更少的计算时间和更少的内存即可达到相同甚至更好的精度。对于两种不同的情况，即规定的表面温度（PST）和规定的热通量（PHF），通过图形绘制的图形详细评估了控制物理参数对速度，温度，溶质和纳米颗粒浓度的影响。观察到减少的舍伍德数（在PST情况下）随着纳米流体和修饰的Dufour参数的影响而增加，而在PHF情况下，对表面溶液浓度计算出相反的行为。传热是粘弹性参数的增加函数，而布朗运动，热泳，与时间和空间有关的热源/吸收体参数和埃克特数则是减小函数。传质是埃克特数，取决于时间和空间的热源/吸收器参数的增加函数和粘弹性参数的减小函数。

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