Title: Semi-analytical solutions of passive scalar transport in generalized Newtonian fluid flow Show Chinese title

Title: 广义牛顿流体流动中被动标量输运的半解析解

Abstract: Transport during flow of generalized Newtonian fluids (GNFs) appears often in systems that can be treated in a simplified form as either cylindrical tubes or slit openings between parallel plates. Based on the pioneering work of Taylor, analytical solutions for transport in these simplified systems were derived generally. This includes analytical solutions for advection dominated transport, as well as a computation of the enhanced molecular diffusion coefficient in low Peclet number systems. The newly derived general solutions for species transport were applied to Cross and Carreau model fluids using a semi-analytical solution for velocity of these fluids. The semi-analytical solutions derived herein were compared to microscale simulations and showed agreement to within the numerical error of those simulations. The semi-analytical transport solutions derived here were developed without assuming any specific fluid rheology, thus these solutions can be applied to other non-Newtonian fluids, such as viscoelastic or viscoplastic fluids, as a straightforward extension of this work. Show Chinese abstract

Abstract: 广义牛顿流体（GNFs）在管状通道或平行平板间的狭缝流动中的传输现象经常出现在可以简化为这些几何形状的系统中。 基于Taylor的开创性工作，通常可以推导出这些简化系统的传输解析解。 这包括对流主导传输的解析解，以及低Péclet数系统中增强分子扩散系数的计算。 新推导出的广义物种传输解被应用于Cross和Carreau模型流体，并使用这些流体的速度半解析解。 本文中推导的半解析解与微观尺度模拟进行了比较，结果显示两者在数值误差范围内一致。 这里推导的半解析传输解没有假设任何特定的流体流变学特性，因此这些解可以作为这项工作的直接扩展，应用于其他非牛顿流体，如粘弹性或粘塑性流体。