图书馆订阅: Guest
Proceedings of CHT-08 ICHMT International Symposium on Advances in Computational Heat Transfer
May, 11-16, 2008, Marrakesh, Morocco

DOI: 10.1615/ICHMT.2008.CHT


ISBN Print: 978-1-56700-253-9

ISSN: 2578-5486

St-Re-Pr RELATIONSHIP FOR A HEATED/COOLED CYLINDER IN LAMINAR CROSS FLOW

page 16
DOI: 10.1615/ICHMT.2008.CHT.210
Get accessGet access

摘要

Based on the boundary layer approximation analysis of the integral balance laws, a general formula for the Strouhal-Reynolds relationship of no isothermal flow around a cylinder has been investigated in this paper. By assuming the temperature dependence of the boundary layer thickness, the following formula has been derived for not only isothermal but also the non-isothermal cases:

Sr·(Re, Pr, T*) = 0.2665 − (1.0175 (T*)ω/2/√ Re)·[ 1 + (0.227(1 − T*)/Pr1/3(2T* − 1))]1/2,

where the Reynolds, Strouhal and Pradtl numbers are commonly introduced as Re = Dvρ, Sr = f D/v, and Pr = cρμ/k . The temperature effect is introduced by the ratio T* = Tw/T of the cylinder wall temperature Tw and free stream temperature T. The effects of the viscosity and thermal conductivity of fluids are separated from the influence of the cylinder geometry. The unknown value of the geometrical parameter for a circular cylinder has been obtained from the experiments and is in good agreement with the numerical calculations by the spectral method. Excellent overlapping has been obtained from the comparisons of present formula and previous experiments of the heated and cooled cylinders in the Reynolds number from 47.5 to 180 for both air and water. The main part of the present derivation is dealing with air as the working fluid; however, the extension to the different fluids (through Prandtl number Pr) can be also expected.

Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集 订购及政策 Begell House 联系我们 Language English 中文 Русский Português German French Spain