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Numerical Simulation of Reciprocating Flow Forced Convection in Two-Dimensional Channels

机译：二维通道中往复流动强迫对流的数值模拟

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摘要

Numerical simulations of laminar, forced convection heat transfer for reciprocating, two-dimensional channel flows are performed as a function of the penetration length, Womersley (α) and Prandtl (Pr) numbers. The numerical algorithm is based on a spectral element formulation, which enables high-order spatial resolution with exponential decay of discretization errors, and second-order time-accuracy. Uniform heat flux, and constant temperature boundary conditions are imposed on certain regions of the top surface, while the bottom surface is kept insulated. Periodicity of velocity and temperature fields is imposed on the side boundaries, while the flow is driven by an oscillating pressure gradient. These sets of boundary conditions enable time-periodic solution of the problem. Instantaneous and time-averaged surface and bulk temperature distributions, and Nusselt number variations are presented. For high α flows, the temperature field is significantly affected by the Richardson's annular effect. Overall, forced convection increases by increasing the penetration length, α and Pr. Corresponding steady-flow simulations are performed by matching the volumetric flowrate. For the limited parameter space investigated in this paper, steady unidirectional forced convection is more effective than the reciprocating flow forced convection.
机译：根据穿透长度，Womersley（α）和Prandtl（Pr）数的函数，对往复的二维通道流进行层流，强制对流换热的数值模拟。数值算法基于频谱元素公式，可以实现高阶空间分辨率，离散误差呈指数衰减，并且具有二阶时间精度。在底表面保持绝缘的同时，在顶表面的某些区域施加了均匀的热通量和恒定的温度边界条件。速度和温度场的周期性施加在侧边界上，而流量由振荡的压力梯度驱动。这些边界条件集可以按时间周期解决问题。瞬时和时间平均的表面和整体温度分布，以及Nusselt数变化都将显示。对于高α流量，温度场受Richardson环形效应的影响很大。总体而言，强制对流通过增加穿透长度α和Pr来增加。通过匹配体积流量执行相应的稳态流模拟。对于本文研究的有限参数空间，稳定的单向强制对流比往复流强制对流更有效。

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