Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Analysis of Fully Developed Multilayer Flow in Microchannel with a Rectangular Cross Section

직사각형 단면을 갖는 미세채널에서 완전 발달된 다층유동에 관한 해석

  • 김중경 ((주)디지탈바이오테크놀러지) ;
  • 정찬일 ((주)디지탈바이오테크놀러지) ;
  • 장준근 (서울대학교 전기컴퓨터공학부) ;
  • 유정열 (서울대학교 기계항공공학부)
  • Published : 2003.05.01
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Abstract

An analytical solution for a vertically stratified viscous flow in a microchannel with a rectangular cross-section is constructed, assuming fully developed laminar flow where the interfaces between the fluid layers are flat. Although the solution is for n-layer flow, restricted results to symmetrical three-layer flow are presented to investigate the effects of the viscosity and thickness ratios of the fluid layers and the aspect ratio of the microchannel on the flow field. Relations between the flow rate and thickness ratios of the fluid layers with varying viscosity distributions are found, considering the cross -sectional velocity profiles which vary noticeably with the three parameters and differ significantly from the velocity profiles of the flow between infinite parallel plates. Interfacial instability induced by the viscosity stratification in the microchannel is discussed referring to previous studies on the instability analysis for plane multilayer flow. Exact solution derived in the present study can be used for examining a diffusion process and three -dimensional stability analysis. More works are needed to formulate the equations including the effects of interfacial' tension between immiscible liquids and surface wettability which are important in microscale transport phenomena.

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References

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