ABSTRACT
The mathematical analysis of the electrophoretic separation process in free-flow devices is as difficult as it is desirable. This chapter aims to comment on some details given by Giannovario et al. A closed expression has the advantage of exhibiting parameter dependencies explicitly, which can hardly be overestimated in the context of optimization. Given a fixed separation chamber and a fixed buffer electrolyte, only the heat production rate can be chosen freely via the choice of the applied voltage. Giannovario et al. mentioned that the isothermal temperature profile of the buffer electrolyte is parabolic. The electroosmotic motion is introduced in the Navier-Stokes equations by means of a prescribed tangential velocity near the front and rear faces of the chamber. The mathematical model of free-flow-electrophoresis considered is that of Giannovario et al. Thermal analysis in the separation chamber is considered, and it is shown that the temperature profile across the depth of the chamber can be calculated explicitly up to a quadrature.
