讨论了一维可压缩黏性van der Waals流体系统的渐近稳定性,其中黏性系数为满足Bird-Carreau模型的非线性函数,压力为非凸函数。通过构造能量函数并运用能量估计方法及单调算子理论,证明得出:大黏性条件下初值位于稳定区域时,以及大黏性...讨论了一维可压缩黏性van der Waals流体系统的渐近稳定性,其中黏性系数为满足Bird-Carreau模型的非线性函数,压力为非凸函数。通过构造能量函数并运用能量估计方法及单调算子理论,证明得出:大黏性条件下初值位于稳定区域时,以及大黏性、小扰动条件下初值位于亚稳定区域时,该类van der Waals流体的解是渐近稳定的。展开更多
The shear viscosity of turbulent drag-reducing surfactant solution was measured as a function of concentration, shear rate and temperature by using an AG-G2 rheometer (TA Instruments, New Castle, USA). The experimen...The shear viscosity of turbulent drag-reducing surfactant solution was measured as a function of concentration, shear rate and temperature by using an AG-G2 rheometer (TA Instruments, New Castle, USA). The experimental results showed complicated rheological behavior with the concentration in large. The Bird-Carreau model was found to fit well to the measured rheological results. The characteristics for the parameters ηo-ηx and λ dependence on temperature were also studied.展开更多
文摘讨论了一维可压缩黏性van der Waals流体系统的渐近稳定性,其中黏性系数为满足Bird-Carreau模型的非线性函数,压力为非凸函数。通过构造能量函数并运用能量估计方法及单调算子理论,证明得出:大黏性条件下初值位于稳定区域时,以及大黏性、小扰动条件下初值位于亚稳定区域时,该类van der Waals流体的解是渐近稳定的。
基金the National Natural Science Foundation of China (Grant No. 50476016)the Feasibility Study on the Application of Innovation Energy Conservation Technology in the Large Cities in Eastern Asia (Grant No. 50611140359).
文摘The shear viscosity of turbulent drag-reducing surfactant solution was measured as a function of concentration, shear rate and temperature by using an AG-G2 rheometer (TA Instruments, New Castle, USA). The experimental results showed complicated rheological behavior with the concentration in large. The Bird-Carreau model was found to fit well to the measured rheological results. The characteristics for the parameters ηo-ηx and λ dependence on temperature were also studied.