About energy dissipation in the electroosmotic process

The issues of dissipation and power balance in a stationary electroosmotic process in a cylindrical capillary filled with a liquid, to which electrodes with a constant potential difference are applied, are considered. The processes of dissipation under the influence of viscous friction and the release of Joule heat are studied. The dissipative function is considered for stationary electroosmotic flow of a viscous incompressible fluid and a homogeneous compressible viscous fluid. Then the dependences for the flows in the capillary are formulated. Simple, sufficiently accurate expressions are obtained that allow one to easily estimate the influence of the process parameters on the energy dissipation. The analysis will allow to optimize the design of a new type of electrokinetic transducer.