Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (1): 109-118.doi: https://doi.org/10.1007/s10483-010-0111-z

• Articles • 上一篇    下一篇

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

晁侃 吴健康 陈波   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics, Wuhan 430074, P. R. China
  • 收稿日期:2009-04-11 修回日期:2009-11-12 出版日期:2010-01-03 发布日期:2010-01-01

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

 CHAO Kan, WU Jian-Kang, CHEN Bo   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics, Wuhan 430074, P. R. China
  • Received:2009-04-11 Revised:2009-11-12 Online:2010-01-03 Published:2010-01-01

摘要: This paper presents a numerical analysis of Joule heating effect of electroosmo-sis 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, vis-cosity, 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.

Abstract: This paper presents a numerical analysis of Joule heating effect of electroosmo-sis 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, vis-cosity, 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.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals