Tseng Huan-Chang, Wu Jiann-Shing, Chang Rong-Yeu
Department of Applied Chemistry, National Chiao Tung University, Hsinchu, Taiwan 30010, Republic of China.
J Chem Phys. 2009 Feb 28;130(8):084904. doi: 10.1063/1.3080768.
Computer experiments of rheology regarding the effects of temperature (T), pressure (P), and density (rho) on steady shear flow material functions, which include viscosity (eta) and first and second normal stress coefficients (psi(1) and psi(2)) depending on shear rate (gamma), have been conducted via nonequilibrium molecular dynamics simulations for liquid n-hexadecane. Straightforwardly, using both characteristic values of a zero-shear-rate viscosity and critical shear rate, eta-gamma flow curves are well normalized to achieve the temperature-, pressure-, and density-invariant master curves, which can be formulary described by the Carreau-Yasuda rheological constitutive equation. Variations in the rate of shear thinning, obviously exhibiting in eta-gamma, psi(1)-gamma, and -psi(2)-gamma relationships, under different T, P, and rho values, are concretely revealed through the power-law model's exponent. More importantly, at low shear rates, the fluid explicitly possesses Newtonian fluidic characteristics according to both manifestations; first and second normal stress differences decay to near zero, while nonequilibrium states are close to equilibrium ones. Significantly, the tendency to vary of the degree of shear thinning in rheology is qualitatively contrary to that of shear dilatancy in thermodynamics. In addition, a convergent transition point is evidently observed in the -psi(2)/psi(1)-gamma curves undergoing dramatic variations, which should be associated with shear dilatancy, as addressed analytically.
通过非平衡分子动力学模拟,对液态正十六烷进行了流变学的计算机实验,研究温度(T)、压力(P)和密度(rho)对稳态剪切流动材料函数的影响,这些函数包括粘度(eta)以及取决于剪切速率(gamma)的第一和第二法向应力系数(psi(1)和psi(2))。直接地,利用零剪切速率粘度和临界剪切速率的特征值,eta - gamma流动曲线能很好地归一化,以得到温度、压力和密度不变的主曲线,该主曲线可用Carreau - Yasuda流变本构方程进行公式描述。通过幂律模型的指数,具体揭示了在不同的T、P和rho值下,eta - gamma、psi(1) - gamma和 - psi(2) - gamma关系中明显表现出的剪切变稀速率的变化。更重要的是,在低剪切速率下,根据这两种表现,流体明显具有牛顿流体特性;第一和第二法向应力差衰减至接近零,而非平衡态接近平衡态。显著地,流变学中剪切变稀程度的变化趋势与热力学中剪切膨胀的变化趋势在定性上相反。此外,在经历剧烈变化的 - psi(2)/psi(1) - gamma曲线中明显观察到一个收敛转变点,如分析所述,该点应与剪切膨胀相关。