(316y) Comparison of Numerical and Taylor-Based Solutions for Power-Law Model Fluids with Joule Heating in a Rectangular Capillary Cell

In many technological applications, the search for new chemical products, exploring the potential benefits of new material physicochemical properties, avoiding potential disadvantages such as convective mixing due to buoyancy, non-Newtonian fluids have capture de attention of developers. Rheological aspects coupled with non-isothermal conditions imply that the understanding of the basic transport is not as simple as in the Newtonian fluids counter part. Although the hydrodynamics developed by non- Newtonian fluids and induced by pressure driven forces has been studied in the past, the influence of other forces such as buoyancy has not been fully addressed. One model commonly used to assess non-Newtonian fluid behavior has been the Ostwald-de Waele Model or also known as the "Power Law Model?. This contribution focuses on the effective application of the Taylor's expansion series as a strategic solution approach of the hydrodynamic velocity profile for the Power Law rheological model with both free ad pressure driven convective forces for different conditions of the system. In addition, the study concentrates on the comparison of the numerical solution and the Taylor's solution approaches as a way to validate the existence of multiple solutions (for a given value of the power ?n?) as predicted by this last method. Several cases of Joule heating generation are examined and its influence on the hydrodynamic velocity profile, established. Implications for possible flow reversal and other flow situations are discussed and their potential use in electrophoretic processes, indicated.