Applied Mathematics and Mechanics

, Volume 31, Issue 1, pp 109–118 | Cite as

Joule heating effect of electroosmosis in a finite-length microchannel made of different materials

  • Kan Chao (晁侃)
  • Jian-kang Wu (吴健康)Email author
  • Bo Chen (陈波)


This paper presents a numerical analysis of Joule heating effect of electroosmosis in a finite-length microchannel made of the glass and polydimethylsiloxane (PDMS) polymer. The Poisson-Boltzmann equation of electric double layer, the Navier-Stokes equation of liquid flow, and the liquid-solid coupled heat transfer equation are solved to investigate temperature behaviors of electroosmosis in a two-dimensional microchannel. The feedback effect of temperature variation on liquid properties (dielectric constant, viscosity, and thermal and electric conductivities) is taken into account. Numerical results indicate that there exists a heat developing length near the channel inlet where the flow velocity, temperature, pressure, and electric field rapidly vary and then approach to a steady state after the heat developing length, which may occupy a considerable portion of the microchannel in cases of thick chip and high electric field. The liquid temperature of steady state increases with the increase of the applied electric field, channel width, and chip thickness. The temperature on a PDMS wall is higher than that on a glass wall due to the difference of heat conductivities of materials. Temperature variations are found in the both longitudinal and transverse directions of the microchannel. The increase of the temperature on the wall decreases the charge density of the electric double layer. The longitudinal temperature variation induces a pressure gradient and changes the behavior of the electric field in the microchannel. The inflow liquid temperature does not change the liquid temperature of steady state and the heat developing length.

Key words

microchannel electric double layer electroosmosis Joule heating effect 

Chinese Library Classification


2000 Mathematics Subject Classification

76W05 76D45 


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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2010

Authors and Affiliations

  • Kan Chao (晁侃)
    • 1
  • Jian-kang Wu (吴健康)
    • 1
    Email author
  • Bo Chen (陈波)
    • 1
  1. 1.Department of MechanicsHuazhong University of Science and Technology, Wuhan National Laboratory for OptoelectronicsWuhanP. R. China

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