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基于Fokker-Planck方程与流体动量方程,建立了压力驱动纳米流体在园管中输运的两相流藕合理论模型,模型考虑了纳米粒子的相互碰撞效应、布朗运动效应以及纳米粒子与液体的相互耦合作用,本文所建立的模型没有引入任何唯象参数,与以往的唯象模型相比较,理论上更完备,采用该模型对纳米流体的黏度随温度、纳米粒子体积分数以及粒子尺度的变化规律进行了预测,结果表明,在高粒子体积分数下,纳米流体剖面速度分布呈“柱塞”状,这与单相流体剖面速度呈抛物线分布有明显的差异,该模型预测的黏度在较大范围内均与实验结果很好的吻合.
Based on Fokker-Planck equation and fluid momentum equation, a theoretical model of two-phase flow coupling of pressure-driven nanofluid in a circular tube was established. The model considered the mutual collision effect of nanoparticles, Brownian motion effect and the relationship between nanoparticles and liquid The model established in this paper does not introduce any phenomenological parameters. Compared with the previous phenomenological models, the model is more complete in theory. The viscosity of nanofluids varies with temperature, particle volume fraction and particle size The results show that the distribution of velocity profile of nanofluid at high particle volume fraction is a “plunger” shape, which is obviously different from the parabola distribution of the single-phase fluid velocity. The predicted viscosity of the model is in the range of In a wide range of experimental results are in good agreement.