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Effect of natural convection on oscillating flow in a pipe with cryogenic temperature difference across the ends

机译：自然对流对两端两端低温温差的管道中振荡流的影响

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摘要

The effect of natural convection on the oscillatory flow in an open-ended pipe driven by a timewise sinu-soidally varying pressure at one end and subjected to an ambient-to-cryogenic temperature difference across the ends, is numerically studied. Conjugate effects arising out of the interaction of oscillatory flow with heat conduction in the pipe wall are taken into account by considering a finite thickness wall with an insulated exterior surface. Two cases, namely, one with natural convection acting downwards and the other, with natural convection acting upwards, are considered. The full set of compressible flow equations with axissymmetry are solved using a pressure correction algorithm. Parametric studies are conducted with frequencies in the range 5-15 Hz for an end-to-end temperature difference of 200 and 50 K. Results are obtained for the variation of velocity, temperature, Nusselt number and the phase relationship between mass flow rate and temperature. It is found that the Rayleigh number has a minimal effect on the time averaged Nusselt number and phase angle. However, it does influence the local variation of velocity and Nusselt number over one cycle. The natural convection and pressure amplitude have influence on the energy flow through the gas and solid.
机译：数值研究了自然对流对开放式管道中的振荡流动的影响，该管道由一端随时间的正弦变化压力驱动，两端受到环境至低温的温差。通过考虑有限厚度的带有绝缘外表面的壁，可以考虑振荡流与管壁中的热传导相互作用产生的共轭效应。考虑两种情况，一种是自然对流向下作用，另一种是自然对流向上作用。使用压力校正算法求解具有轴对称性的可压缩流动方程组。对于200至50 K的端到端温差，使用5-15 Hz范围内的频率进行参数研究。获得了速度，温度，努塞尔数以及质量流量与温度之间的相位关系的变化的结果。温度。发现瑞利数对时间平均努塞尔数和相位角的影响最小。但是，它确实会影响一个周期内速度和Nusselt数的局部变化。自然对流和压力幅度会影响通过气体和固体的能量流。

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