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Analytical solution of temperature field in micro-Poiseiulle flow with constant wall temperature

Darbandi, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1115/ICNMM2008-62333
  3. Publisher: 2008
  4. Abstract:
  5. The analytical study of microchannels has been considered as a preliminary approach to alleviate the difficulties which are normally encountered in numerical and experimental studies. Among the analytical solutions, those with high robustness and low complexities are certainly more attractive. In this work, we present a theoretical approach to predict the temperature field in micro-Poiseuille channel flow with constant wall temperature. The use of power series method simplifies the solution in the current analytical approach. The current analytical derivations are examined for channels with both hot-wall and cold-wall conditions. The current solutions agree well with the numerical solutions for a wide range of Knudsen numbers. Contrary to the past analytical solutions and in spite of using a simple and robust approach, the current formulations predict the temperature field in the channel readily. Copyright ©2008 by ASME
  6. Keywords:
  7. Analytical approach ; Analytical solutions ; Constant wall temperature ; High robustness ; Knudsen numbers ; Low complexity ; Numerical and experimental study ; Numerical solution ; Poiseuille channel flow ; Power series method ; Preliminary approach ; Temperature field ; Theoretical approach ; Mixed convection ; Numerical analysis ; Microchannels
  8. Source: 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008, Darmstadt, 23 June 2008 through 25 June 2008 ; Issue PART B , 2008 , Pages 1371-1379 ; 0791848345 (ISBN); 9780791848340 (ISBN)
  9. URL: https://gasturbinespower.asmedigitalcollection.asme.org/ICNMM/proceedings-abstract/ICNMM2008/48345/1371/335925