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首页> 外文期刊>International Journal of Heat and Mass Transfer >An analytical study of the periodic laminar forced convection of non-Newtonian nanofluid flow inside an elliptical duct
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An analytical study of the periodic laminar forced convection of non-Newtonian nanofluid flow inside an elliptical duct

机译：椭圆管内非牛顿纳米流体的周期性层流强迫对流的分析研究

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摘要

In this study, an analytical solution was obtained for a laminar forced convection of non-Newtonian nanofluid flowing inside an elliptical duct, with inlet temperature varying periodically with the time. The solution was obtained using the Generalized Integral Transform Technique (GITT). The thermal behavior of Cu-water non-Newtonian nanofluid, described by the power-law model was investigated. Also, an accurate correlation was established to estimate the thermal length required to achieve 99% of the amplitude attenuation. The results show a significant effect of aspect ratioβ/αand fluid behavior index on the temperature amplitude reduction. For instance, an elliptical duct withβ/α= 0.25 reduces the thermal lengthLthmore than 50% compared with circular duct. Adding nanoparticles until 5% increases the heat transfer coefficient up to 27% for the cylindrical tube. Besides, the heat transfer coefficient is improved over 42% relatively to the cylindrical configuration by reducing the aspect ratio to 0.25. Therefore, adding 5% of nanoparticles both using an elliptical duct withβ/α= 0.25, improves the mean heat transfer coefficient around 83% compared to the flow of water base fluid inside a cylindrical duct.
机译：在这项研究中，获得了椭圆形管道内流动的非牛顿纳米流体的层流强迫对流的解析解，入口温度随时间周期性变化。使用广义积分变换技术（GITT）获得解决方案。研究了由幂律模型描述的铜水非牛顿纳米流体的热行为。此外，建立了精确的相关性，以估算实现99％的幅度​​衰减所需的热长度。结果表明，长宽比β/α和流体行为指数对温度幅值降低有显着影响。例如，与圆形管道相比，β/α= 0.25的椭圆形管道可将热长度Lth降低50％以上。添加纳米颗粒直至5％，圆柱管的传热系数最高可达27％。此外，通过将纵横比减小到0.25，相对于圆柱形结构，传热系数提高了42％以上。因此，与圆柱形导管内的水基流体的流动相比，使用均具有β/α= 0.25的椭圆形导管添加5％的纳米粒子，平均传热系数提高了约83％。

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