Application of heat and mass transfer analogy on hot gas ingestion through rim seal

• Published in: Applied thermal engineering 2016-06, Vol.102, p.622-632
• Main Authors: Liu, Dongdong, Tao, Zhi, Luo, Xiang, Kang, Wenwu, Yu, Xiao
• Format: Article
• Language: English
• Subjects: Analogies; Chilton–Colburn analogy; Computational efficiency; Computational fluid dynamics; Computing time; Experiment; Fluid flow; Heat and mass transfer analogy; Hot gas ingestion; Mass transfer; Reynolds number; Sealing
• ISSN: 1359-4311
• DOI: 10.1016/j.applthermaleng.2016.03.023

•Mass and heat transfer analogy is applied on ingress of transfer theoretically and experimentally.•A formula relating two kinds sealing efficiencies is derived from the Chilton–Colburn analogy.•Experiments of heat and mass transfer in ingress are conducted separately to obtain these two sealing efficiencies.•The experiment result shows two kinds sealing efficiencies have similar but different distribution inside cavity. This paper presents a theoretical and experimental investigation on developing the relation of concentration-based sealing efficiency and temperature-based sealing efficiency on ingress of transfer by applying the mass and heat transfer analogy. A formula connected these two sealing efficiencies is derived from the Chilton–Colburn analogy. Experiments of heat and mass transfer in ingress are conducted separately to obtain the concentration-based sealing efficiency and temperature-based sealing efficiency respectively, and get a suitable value for the variable “n” originated from the formula derivation. In experiment, annulus Reynolds number is set at 3.25×105, rotating Reynolds number is changed from 6.26×105 to 8.34×105 while the dimensionless sealing air flow rate ranges from 1252 to 5512. The experiment result shows temperature-based sealing efficiency has similar but different distribution inside cavity compared with concentration-based sealing efficiency as Lewis Number is greater than 1 in the experiment. By setting n=0.105, the experiment data and predicted data from derived formula matches well. In the further discussion of the derived formula, it shows that the difference of concentration-based sealing efficiency and temperature-based sealing efficiency enlarges with the increase of air temperature.