Thermal Transport Phenomena in Turbulent Gas Flows Through a Tube With High Constant Wall Temperature

S. Torii, Wen‐Jei Yang
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Abstract

A numerical study is performed to investigate thermal transport phenomena in turbulent gas flow through a tube with high uniform wall temperature. A k-ε turbulence model is employed to determine the turbulent viscosity and the turbulent kinetic energy. The turbulent heat flux is expressed by Boussinesq approximation in which the eddy diffusivity of heat is determined by a t2¯-εt heat-transfer model. The governing boundary-layer equations are discretized by means of a control volume finite-difference technique and numerically solved using a marching procedure. It is disclosed from the study that: (i) Like in a pipe with high uniform wall heat flux, laminarization takes place in a turbulent gas flow through a pipe with high uniform wall temperature, (ii) Once laminarization occurs, both velocity and temperature gradients at the wall diminish along the flow, resulting in a substantial reduction in both the turbulent kinetic energy and temperature variance across the whole tube cross section, and (iii) these attenuations cause a deterioration in heat transfer performance.
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高壁温管内湍流气体的热输运现象
用数值方法研究了高均匀壁温管内湍流气体的热输运现象。采用k-ε湍流模型确定了湍流粘度和湍流动能。湍流热通量用Boussinesq近似表示,其中热的涡流扩散率由t2¯-εt传热模型决定。采用控制体积有限差分技术对控制边界层方程进行离散化,并采用步进法对其进行数值求解。研究发现:(1)与高均匀壁面热流密度的管道一样,湍流气体流过高均匀壁面温度的管道时也会发生层压化;(2)一旦层压化发生,壁面的速度梯度和温度梯度沿流动方向减小,导致整个管道横截面上的湍流动能和温度方差大幅减小;(3)这些衰减导致换热性能的恶化。
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