In this study the effect of randomness of blowing ratio on film cooling performance is investigated by combining direct numerical simulations with a stochastic collocation approach. The geometry includes a 35-degree inclined jet with a plenum attached to it. The blowing ratio variations are assumed to have a truncated Gaussian distribution with mean of 0.3 and the standard variation of approximately 0.1. The parametric space is discretized using Multi-Element general Polynomial Chaos (ME-gPC) with five elements where general polynomial chaos of order 3 is used in each element. A fast convergence of the polynomial expansion in the random space was observed. Direct numerical simulations were carried out using spectral element method to sample the governing equations in space and time. The probability density function of the film cooling effectiveness was obtained and the standard deviation of the adiabatic film cooling effectiveness on the blade surface was calculated. A maximum standard deviation of 15% was observed in the region within a four-jet-diameter distance downstream of the exit hole. The spatially-averaged adiabatic film cooling effectiveness was 0.23 ± 0.02. The calculation of all the statistical properties were carried out as off-line post-processing. Overall the computational strategy is shown to be very effective with the total computational cost being equivalent to solving twenty independent direct numerical simulations that are performed concurrently.
Skip Nav Destination
ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology
July 14–19, 2013
Minneapolis, Minnesota, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-5549-2
PROCEEDINGS PAPER
Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness
Hessam Babaee,
Hessam Babaee
Louisiana State University, Baton Rouge, LA
Search for other works by this author on:
Xiaoliang Wan,
Xiaoliang Wan
Louisiana State University, Baton Rouge, LA
Search for other works by this author on:
Sumanta Acharya
Sumanta Acharya
Louisiana State University, Baton Rouge, LA
Search for other works by this author on:
Hessam Babaee
Louisiana State University, Baton Rouge, LA
Xiaoliang Wan
Louisiana State University, Baton Rouge, LA
Sumanta Acharya
Louisiana State University, Baton Rouge, LA
Paper No:
HT2013-17159, V003T20A002; 15 pages
Published Online:
December 21, 2013
Citation
Babaee, H, Wan, X, & Acharya, S. "Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness." Proceedings of the ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. Volume 3: Gas Turbine Heat Transfer; Transport Phenomena in Materials Processing and Manufacturing; Heat Transfer in Electronic Equipment; Symposium in Honor of Professor Richard Goldstein; Symposium in Honor of Prof. Spalding; Symposium in Honor of Prof. Arthur E. Bergles. Minneapolis, Minnesota, USA. July 14–19, 2013. V003T20A002. ASME. https://doi.org/10.1115/HT2013-17159
Download citation file:
14
Views
Related Proceedings Papers
Related Articles
A Polynomial Chaos-Based Kalman Filter Approach for Parameter Estimation of Mechanical Systems
J. Dyn. Sys., Meas., Control (November,2010)
Geometrical Uncertainty and Film Cooling: Fillet Radii
J. Turbomach (January,2012)
Polynomial Chaos Based Design of Robust Input Shapers
J. Dyn. Sys., Meas., Control (September,2010)
Related Chapters
Tolerance Stack-Up Analysis
Geometric Dimensioning and Tolerancing: Applications, Analysis, Gauging and Measurement [per ASME Y14.5-2018]
Tolerance Stack-Up Analysis
Geometric Dimensioning and Tolerancing Handbook: Applications, Analysis & Measurement
The Applications of the Cloud Theory in the Spatial DMKD
International Conference on Electronics, Information and Communication Engineering (EICE 2012)