Laminar thermally developing flow in rectangular channels and parallel plates: uniform heat flux

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• 作者：Andrew N. Smith ; Horacio Nochetto
• 刊名：Heat and Mass Transfer
• 出版年：2014
• 出版时间：November 2014
• 年：2014
• 卷：50
• 期：11
• 页码：1627-1637
• 全文大小：927 KB
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• 作者单位：Andrew N. Smith (1) (2)
  Horacio Nochetto (2)
  
  1. U.S. Naval Academy, 590 Holloway Road, Annapolis, MD, 21146, USA
  2. U.S. Army Research Laboratory, 2800 Powder Mill Road, Adelphi, MD, 20783, USA
  
• ISSN：1432-1181

文摘

Numerical simulations were conducted for thermally developing laminar flow in rectangular channels with aspect ratios ranging from 1 to 100, and for parallel plates. The simulations were for laminar, thermally developing flow with H1 boundary conditions: uniform heat flux along the length of the channel and constant temperature around the perimeter. In the limit as the non-dimensional length, x*?=?x/(D h RePr), goes to zero, the Nusselt number is dependent on x* to the negative exponent m. As the non-dimensional length goes to infinity the Nusselt number approaches fully developed values that are independent of x*. General correlations for the local and mean heat transfer coefficients are presented that use an asymptotic blending function to transition between these limiting cases. The discrepancy between the correlation and the numerical results is less than 2.5?% for all aspect ratios. The correlations presented are applicable to all aspect ratios and all non-dimensional lengths, and decrease the discrepancy relative to existing correlations.