幂律流体在单根弯曲毛细管中的毛细上升

摘要

Abstract Based on the fractal theory and the numerical simulation method, the curres ot the nelgn~ o~ imbibition and the mass of imbibition against time are obtained for a power law liquid in a single tortuous capillary. The results show that the effect of the gravity may be neglected at the initial stage of capillary rise and the effect of the gravity becomes important as time goes on. The maximum equilibrium height of imbibition for a power law liquid in a single tortuous capillary is found to be a function of the capillary diameter λ and the density ρ of the power law liquid, and independent of the tortuousity of a single tortuous capillary and the power exponent n. Meanwhile, the rise velocity increases with the decrease of the power exponent n at the initial stage of capillary rise. And the larger the tortuousity fractal dimension DT, the more the mass of imbibition at equilibrium will be.%基于分形理论和数值模拟的方法，给出了幂律流体在单根弯曲毛细管的上升高度和上升累积质量随时间的变化关系曲线．研究结果表明：在上升初期阶段，重力因素可以忽略；但随着时间增加，重力因素的影响越来越大；幂律流体上升的最大高度只与毛细管直径λ、幂律流体密度ρ有关，与毛细管弯曲程度το和幂指数n无关；幂指数礼越小，上升初期上升速度越快；迂曲度分形维数DT越大，平衡时吸入的幂律流体质量也越大．