Abstract
Abstract Two-dimensional heat flow in a continuous flow electrophoretic chamber is analyzed assuming Poiseuille flow and finite conductivity of the chamber walls. The thermal field can be characterized in terms of several dimensionless parameters which allow the solution to be applied to a wide variety of operating conditions. Since most electrophoretic chambers have a high aspect ratio, heat flow through the edge walls is not a major effect and the two-dimensional model is adequate. A major advantage of using this simplified approach is that analytical solutions can be obtained which provide insights that are difficult to get from three-dimensional numerical approaches. For example, a criterion is developed for determining the maximum power that can be used in machines operated in upflow or downflow configuration. Also it is shown that the actual structure of the flowfield has no effect on the fully developed thermal field. The model is compared with experimental measurements, and the implications of the...
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