幂律流体在单根弯曲毛细管中的毛细上升

CAPILLARY RISE OF A POWER LAW LIQUID IN A SINGLE TORTUOUS CAPILLARY

  • 摘要: 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\lambda、幂律流体密度\rho 有关, 与毛细管弯曲程度\tau _0和幂指数n无关; 幂指数n越小, 上升初期上升速度越快; 迂曲度分形维数D_T越大, 平衡时吸入的幂律流体质量也越大.

     

    Abstract: Based on the fractal theory and the numerical simulationmethod, the curres of the height of imbibition and the mass ofimbibition against time are obtained for a power law liquid in a singletortuous capillary. The results show that the effect of the gravity may be neglectedat the initial stage of capillary rise and the effect of the gravity becomesimportant as time goes on. The maximum equilibrium height of imbibition fora power law liquid in a single tortuous capillary is found to be a functionof the capillary diameter \lambda and the density \rho of the power lawliquid, and independent of the tortuousity of a single tortuous capillaryand the power exponent n. Meanwhile, the rise velocity increases with the decreaseof the power exponent n at the initial stage of capillary rise. And the larger thetortuousity fractal dimension D_T , the more the mass of imbibition atequilibrium will be.

     

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