Application of Maximum Entropy Concept in Turbulent Shear Flow

• Main Authors: Hong-Bin Lin, 林宏斌
• Other Authors: Chia R. Chu
• Format: Others
• Language: zh-TW
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/27124615993458347449

碩士 === 國立中央大學 === 土木工程研究所 === 91 === Abstract The concept of entropy based on the probability theory has been successfully applied in the modeling the velocity distribution of channel flow and pipe flow. The velocity distribution derived by the entropy-maximization principle has advantages over the Prandtl-von Karman velocity distribution for the velocity close to the boundary. In this research, similar approaches are used for the velocity distribution of turbulent shear flows, which include boundary layer flow, jet flow and wake flow. The derived velocity profiles are compared with the experimental results and existing velocity distributions, and show good agreement. Based on the new velocity profile, formulas for the dispersion coefficient, momentum thickness and displacement thickness of boundary layer flow are developed. Also, the dilution rate of jet flow and drag coefficient of wake flow are calculated. The relationship between the entropy parameter and the flow parameters are discussed.