The role of the rheological properties of non-Newtonian fluids in controlling dispersive mixing in a batch electrophoretic cell with Joule heating

The problem of the effect of Joule heating generation on the hydrodynamic p rofile and the solute transport found in electrophoretic devices is address ed in this article. The research is focused on the following two problems: The first one is centered around the effect of Joule hearing on the hydrody namic velocity profile and it is referred to as "the carrier fluid problem. " The other one is related to the effect of Joule heating on the solute tra nsport inside electrophoretic cells and it is referred to as "the solute pr oblem". The hydrodynamic aspects were studied first to yield the velocity p rofiles required for analysis of the solute transport problem. The velocity profile obtained in this study is analytical and the results are valid for non-Newtonian fluids carriers. To this end, the power-law model was used t o study the effect of the theology of the material in conjunction with the effect of Joule heating generation inside hatch electrophoretic devices. Th is aspect of the research was then effectively used to study the effect of Joule hearing generation on the motion of solutes (such as macromolecules) under the influence of non-Newtonian carriers. This aspect of the study was performed using an area-averaging approach that yielded analytical results for the effective diffusivity of the device.