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Analytic Solution of Gaseous Slip Heat Transfer in Micro-Channel

[+] Author Affiliations
Tiantian Zhang, Li Jia, Yan Li, Xing Li

Beijing Jiaotong University, Beijing, China

Zhicheng Wang

Chinese Academy of Sciences, Beijing, China

Paper No. MicroNano2008-70033, pp. 355-361; 7 pages
doi:10.1115/MicroNano2008-70033
From:
  • 2008 Second International Conference on Integration and Commercialization of Micro and Nanosystems
  • 2008 Second International Conference on Integration and Commercialization of Micro and Nanosystems
  • Clear Water Bay, Kowloon, Hong Kong, June 3–5, 2008
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 0-7918-4294-0 | eISBN: 0-7918-3819-6
  • Copyright © 2008 by ASME

abstract

2-dimensional steady laminar fully-developed convective heat transfer between two parallel plates with constant heat flux boundary condition in slip flow region was solved analytically by using a new method based on superposition principle. Velocity slip, temperature jump at the wall and viscous heating effect were considered in the calculation. The solution method is verified for the cases where microscale effect is neglected (Kn = 0). Both the heating case and the cooling case were discussed. The effect of viscous heating on temperature and heat transfer was analyzed. The effect of Brinkman number and the Knudsen number on Nusselt number which express the heat transfer performance were analyzed systemically.

Copyright © 2008 by ASME

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