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Modeling of flame transfer function of a conical turbulent premixed flame with variable flame speed

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Abstract

An analytical study was conducted on the heat release response of a turbulent conical flame to velocity fluctuation considering turbulent flame development. The flame with developing variable flame speed is longer and more oscillatory along the flame front than the flame with constant flame speed. As the flame speed develops more slowly with increasing turbulent time scale, the magnitude of the flame transfer function (FTF) decreases more rapidly with frequency in a more oscillatory manner, and its phase increases more rapidly at low frequencies, approaching to a higher value with increasing frequencies. A linear dependence of the FTF phase upon frequency was observed at low frequencies for variable flame speed, and the gain and the time lag of n-τ model were estimated at low frequencies for various turbulent time scale.

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Abbreviations

A :

Flame surface area

f :

Frequency

F :

Flame transfer function (FTF)

Δh R :

Heat of reaction per unit mass of mixture

L f :

Flame length

Q :

Heat release rate

r :

Radial coordinate

r f :

Radius of flame front

R :

Radius of premixer

Sr :

Strouhal number

S L :

Laminar flame speed

S T :

Turbulent flame speed

t :

Time

T :

Turbulent time scale

u, v :

Axial and radial flow velocity

x :

Axial coordinate

β :

Flame geometry factor, defined in Eq. (12)

φ :

Phase of FTF

θ :

Half angle of flame

τ :

Time lag

ω :

Angular frequency (= 2πf)

ξ :

Axial flame position

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Acknowledgments

This work was supported by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy (MOTIE) (Project No.: 20206710100060), and also supported by KIMM’s research funds for gas turbine development.

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Authors and Affiliations

  1. Korea Institute of Machinery and Materials, Daejeon, Korea

    Ju Hyeong Cho

  2. Environment & Energy Mechanical Engineering, Univ. of Science & Technology, Daejeon, Korea

    Ju Hyeong Cho

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  1. Ju Hyeong Cho
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Correspondence to Ju Hyeong Cho.

Additional information

Ju Hyeong Cho received his B.S. and M.S. in Aerospace Engineering from Korea Advanced Institute of Science and Technology (KAIST) in Daejeon, Korea. He received his Ph.D. from Georgia Institute of Technology in USA. Dr. Cho is currently a Principal Researcher at Korea Institute of Machinery and Materials (KIMM) and a Professor at the University of Science and Technology in Daejeon, Korea. His research interests are in the area of design and analysis of gas turbine combustion system with his specialty in thermoacoustic modeling.

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Cho, J.H. Modeling of flame transfer function of a conical turbulent premixed flame with variable flame speed. J Mech Sci Technol 36, 6355–6362 (2022). https://doi.org/10.1007/s12206-022-1147-x

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  • DOI: https://doi.org/10.1007/s12206-022-1147-x

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