存在滑移时两平行刚性圆盘间二阶流体的挤压流动

两刚性圆盘间流体的挤压流动是一个基本的动力学模型,涉及到不少工程应用。二阶流体在剪切变形时会产生法向应力差,当存在滑移时,其压力分布及挤压力将会发生变化。该文以润滑理论为基础,采用小参数法研究了存在滑移时两刚性圆盘间二阶流体的挤压流动,导出了流体的速度和压力分布并进而求出挤压力的表达式。结果表明滑移导致压力分布和挤压力近似线性变化

Squeeze Flow of A Second-Order Fluid Between Two Parallel Disks With Wall Slip

Squeeze flow between two disks with a fluid is a classical model related to many applications. Unlike other fluids, shearing deformation in a second order fluid will produce normal stress differences, so this property together with wall slip mechanism will significantly affect the squeezing behaviors. Based on the lubrication theory, squeeze flow of a second order fluid between two parallel disks with wall slip was studied using the small parameter method, and analytical solutions for the pressure and the viscous force were obtained. Numerical plots show that wall slip has a significant effect on the pressure distribution and the resulting squeeze force, and both pressure and the force decrease linearly with the increment of the slip parameter.