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Investigation of the influence of combustion-induced thermal expansion on two-point turbulence statistics using conditioned structure functions

Published online by Cambridge University Press:  20 March 2019

V. A. Sabelnikov ,
A. N. Lipatnikov Open the ORCID record for A. N. Lipatnikov [Opens in a new window] ,
S. Nishiki  and
T. Hasegawa
V. A. Sabelnikov
Affiliation:
Department of Multi-Physics for Energetics, ONERA - The French Aerospace Lab., F-91761 Palaiseau, France Laboratory of Jet Engine Simulations, Central Aerohydrodynamic Institute (TsAGI), 140180 Zhukovsky, Russian Federation
A. N. Lipatnikov*
Affiliation:
Department of Mechanics and Maritime Sciences, Chalmers University of Technology, Göteborg 412 96, Sweden
S. Nishiki
Affiliation:
Department of Mechanical Engineering, Kagoshima University, Kagoshima 890-0065, Japan
T. Hasegawa
Affiliation:
Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya 464-8603, Japan
*
†Email address for correspondence: andrei.lipatnikov@chalmers.se
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Abstract

The second-order structure functions (SFs) of the velocity field, which characterize the velocity difference at two points, are widely used in research into non-reacting turbulent flows. In the present paper, the approach is extended in order to study the influence of combustion-induced thermal expansion on turbulent flow within a premixed flame brush. For this purpose, SFs conditioned to various combinations of mixture states at two different points (reactant–reactant, reactant–product, product–product, etc.) are introduced in the paper and a relevant exact transport equation is derived in the appendix. Subsequently, in order to demonstrate the capabilities of the newly developed approach for advancing the understanding of turbulent reacting flows, the conditioned SFs are extracted from three-dimensional (3-D) direct numerical simulation data obtained from two statistically 1-D planar, fully developed, weakly turbulent, premixed, single-step-chemistry flames characterized by significantly different (7.53 and 2.50) density ratios, with all other things being approximately equal. Obtained results show that the conditioned SFs differ significantly from standard mean SFs and convey a large amount of important information on various local phenomena that stem from the influence of combustion-induced thermal expansion on turbulent flow. In particular, the conditioned SFs not only (i) indicate a number of already known local phenomena discussed in the paper, but also (ii) reveal a less recognized phenomenon such as substantial influence of combustion-induced thermal expansion on turbulence in constant-density unburned reactants and even (iii) allow us to detect a new phenomenon such as the appearance of strong local velocity perturbations (shear layers) within flamelets. Moreover, SFs conditioned to heat-release zones indicate a highly anisotropic influence of combustion-induced thermal expansion on the evolution of small-scale two-point velocity differences within flamelets, with the effects being opposite (an increase or a decrease) for different components of the local velocity vector.

JFM classification

Reacting Flows: Combustion Reacting Flows: Flames Reacting Flows: Turbulent reacting flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 867 , 25 May 2019 , pp. 45 - 76
Copyright
© 2019 Cambridge University Press 

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