NDLI: Effect of Uncertainty in Blowing Ratio on Film Cooling Effectiveness

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Babaee, Hessam Wan, Xiaoliang Acharya, Sumanta
Copyright Year	2013
Abstract	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.
Sponsorship	Heat Transfer Division
File Format	PDF
ISBN	9780791855492
DOI	10.1115/HT2013-17159
Volume Number	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
Conference Proceedings	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
Language	English
Publisher Date	2013-07-14
Publisher Place	Minneapolis, Minnesota, USA
Access Restriction	Subscribed
Subject Keyword	Chaos Geometry Uncertainty Computer simulation Blades Spacetime Gaussian distribution Probability Polynomials Film cooling Density
Content Type	Text
Resource Type	Article

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