Laminar Flow and Heat Transfer in Equilateral Triangle Micro-Channels
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摘要: 研究等边三角形截面微通道内充分发展层流的流动特性和换热特性,基于Navier-Stokes方程的基本理论,在等边三角形一边向流体加入定常热流密度时,给出了微通道内充分发展层流的速度分布和温度分布的近似解,以及微通道内充分发展对流传热的摩擦因子和Nusselt数;并通过商业软件Fluent对微通道内的流动和换热进行数值模拟,得到通道内温度和速度的数值解,进而计算得到充分发展对流传热的摩擦因子和Nusselt数;二者进行对比,结果吻合很好,验证了计算结果的正确性.Abstract: Fully developed laminar flow properties and heat transfer characteristics in equilateral triangle micro-channels were studied. Based on the theory of Navier-Stokes equations, in the case that a steady heat flux was imported into the fluid at one side of the equilateral triangle, the approximate analytical results of velocity and temperature distributions of the fully developed laminar flow within the micro-channel, as well as the friction factor and Nusselt number of the fully developed convevtion, were given through solution of the momentum and energy differential equations. Then the laminar flow and heat transfer within the micro-channel were numerically simulated with the Fluent software to get the corresponding numerical values of velocity, temperature, friction factor and Nusselt number. In comparison, the analytical results fit the numerical ones well to verify the correctness of the presented method.
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