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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical investigation of laminar forced convection for a non-Newtonian nanofluids flowing inside an elliptical duct under convective boundary condition
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Numerical investigation of laminar forced convection for a non-Newtonian nanofluids flowing inside an elliptical duct under convective boundary condition

机译：对流边界条件下椭圆管内非牛顿纳米流体层流强迫对流的数值研究

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Purpose The purpose of this study is to investigate the thermal response of the laminar non-Newtonian fluid flow in elliptical duct subjected to a third-kind boundary condition with a particular interest to a non-Newtonian nanofluid case. The effects of Biot number, aspect ratio and fluid flow behavior index on the heat transfer have been examined carefully. Design/methodology/approach First, the mathematical problem has been formulated in dimensionless form, and then the curvilinear elliptical coordinates transform is applied to transform the original elliptical shape of the duct to an equivalent rectangular numerical domain. This transformation has been adopted to overcome the inherent mathematical deficiency due to the dependence of the ellipsis contour on the variables x and y. The yielded problem has been successfully solved using the dynamic alternating direction implicit method. With the available temperature field, several parameters have been computed for the analysis purpose such as bulk temperature, Nusselt number and heat transfer coefficient. Findings The results showed that the use of elliptical duct enhances significantly the heat transfer coefficient and reduces the duct's length needed to achieve the thermal equilibrium. For some cases, the reduction in the duct's length can reach almost 50 per cent compared to the circular pipe. In addition, the analysis of the non-Newtonian nanofluid case showed that the addition of nanoparticles to the base fluid improves the heat transfer coefficient up to 25 per cent. The combination of using an elliptical duct and the addition of nanoparticles has a spectacular effect on the overall heat transfer coefficient with an enhancement of 50-70 per cent. From the engineering applications view, the results demonstrate the potential of elliptical duct in building light-weighted compact shell-and-tube heat exchangers. Originality/value A complete investigation of the heat transfer of a fully developed laminar flow of power law fluids in elliptical ducts subject to the convective boundary condition with application to non-Newtonian nanofluids is addressed.
机译：目的这项研究的目的是研究椭圆管中层流非牛顿流体在第三类边界条件下的热响应，特别是对于非牛顿纳米流体情况。毕奥数，长宽比和流体流动行为指数对传热的影响已被仔细研究。设计/方法/方法首先，将数学问题表达为无量纲形式，然后使用曲线椭圆坐标变换将管道的原始椭圆形变换为等效的矩形数值域。由于省略号轮廓对变量x和y的依赖性，已采用此变换来克服固有的数学缺陷。使用动态交替方向隐式方法已成功解决了屈服问题。利用可用的温度场，已经计算出了用于分析目的的多个参数，例如体温，努塞尔数和热传递系数。结果结果表明，使用椭圆形风管可显着提高传热系数，并缩短实现热平衡所需的风管长度。在某些情况下，与圆形管道相比，管道长度的减少可以达到近50％。此外，对非牛顿纳米流体情况的分析表明，在基础流体中添加纳米颗粒可将传热系数提高多达25％。使用椭圆形管道和添加纳米颗粒的组合对整体传热系数产生了惊人的影响，提高了50-70％。从工程应用的角度来看，结果证明了椭圆形管道在建造轻型紧凑型壳管式热交换器中的潜力。独创性/价值一个完整发展的幂律流体在对流边界条件下的椭圆形管道中层流流动的传热研究，涉及非牛顿纳米流体。

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