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Free Surface Instabilities due to Joule heating in Electroosmotic Flows
Mohar Dey (FAST)
One of the major applications of electroosmotic flow is to generate pressure in micro/nano fluidic
systems for pumping fluid, which is achieved by applying very high electric field across the
microchannels and invariably leads to volumetric Joule heating. A temperature gradient set up as a direct
result of this Joule heating may cause significant variations in the temperature sensitive properties of the
fluid. This study is aimed at investigating the role of this heat generated within the conducting fluids in
determining the conditions for the inception and growth of instability on the freesurface of such
configurations. The generalized GouyChapman theory for symmetric electrolytes is used to explain the
explicit dependence of the electrical potential and velocity distribution on this differential temperature
distribution within the fluid. Subsequently the highly coupled system of OrrSommerfeld equations are
solved using a Chebyshev collocation algorithm to perform a linear stability analysis of the freesurface
electroosmotic flow system of the conducting electrolyte.

