CHAO Kan, WU Jian-kang, CHEN Bo. Joule Heating Effect of Electroosmosis in a Finite-Length Microchannel Made of Different Materials[J]. Applied Mathematics and Mechanics, 2010, 31(1): 102-110. doi: 10.3879/j.issn.1000-0887.2010.01.011
Citation: CHAO Kan, WU Jian-kang, CHEN Bo. Joule Heating Effect of Electroosmosis in a Finite-Length Microchannel Made of Different Materials[J]. Applied Mathematics and Mechanics, 2010, 31(1): 102-110. doi: 10.3879/j.issn.1000-0887.2010.01.011

Joule Heating Effect of Electroosmosis in a Finite-Length Microchannel Made of Different Materials

doi: 10.3879/j.issn.1000-0887.2010.01.011
  • Received Date: 2009-04-11
  • Rev Recd Date: 2009-12-02
  • Publish Date: 2010-01-15
  • A numerical analysis was presented to study Joule heating effect of electroosmosis in a finite-length microchannel made of glass and PDMS polymer. Poisson-Boltzmann equation of electric double layer, Navier-Stokes equation of liquid flow and liquid-solid coupled heat transfer equation were solved to investigate temperature behavior of electroosmosis in two-dmiensional microchannel. The feedback effect of temperature variation on liquid properties (dielectric constant, viscosity, thermal and electric conductivities) was taken in to account. Numerical results indicate that there exists a heat developing length near channel in let where flow velocity, temperature, pressure, electric field rapidly vary. The flow velocity, electric field and temperature approach to a steady state after heat developing length, which may occupy a considerable portion of the microchannel in cases of thickchip and high electric field. Liquid temperature of steady state increases with increase of applied electric field, channel thickness and chip thickness. The temperature on PDMS wall is higher than that on glass wall due to difference of heat conductivities. Temperature variations are found in both longitudinal and tran sverse derictions of the microchannel. Temperature increase on wall decreases charge density of the electric double layer. Longitudinal temperature variation induces a pressure gradient and changes behavior of electric field in microchannel. In flow liquid temperature does not change liquid temperature of steady state and heat developing length.
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