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We investigate a model of solid propellant combustion involving surface pyrolysis coupled to finite activation energy gas phase combustion. Existence and uniqueness of a travelling wave solution are established by extending dynamical system…

Analysis of PDEs · Mathematics 2020-04-20 Laurent Francois , Joël Dupays , Dmitry Davidenko , Marc Massot

Flamelet-based methods are extensively used in modeling turbulent hydrocarbon flames. However, these models have yet to be established for (lean) premixed hydrogen flames. While flamelet models exist for laminar thermo-diffusively unstable…

Energy transfer in turbulent flows is typically described either through correlation functions, via the K\'arm\'an-Howarth-Monin relation, or through a scale-by-scale budget of filtered energy (Frisch 1995). For constant-density turbulence,…

Fluid Dynamics · Physics 2026-01-06 Hridey Narula , Prasad Perlekar

The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously (Phys. Rev. E {\bf 90}, 053001, 2014) is generalized for large yet finite Reynolds numbers, and the dependence of turbulent diffusion…

Fluid Dynamics · Physics 2018-05-24 T. Elperin , N. Kleeorin , M. Liberman , A. Lipatnikov , I. Rogachevskii , R. Yu

Turbulent mixing is a physical process of fundamental importance in high-speed premixed flames. This mixing results in enhanced transport of temperature and chemical scalars, leading to potentially large changes in flame structure and…

Fluid Dynamics · Physics 2020-06-25 Ryan Darragh , Colin A. Z. Towery , Alexei Y. Poludnenko , Peter E. Hamlington

A new rotational flamelet model with inward swirling flow through a stretched vortex tube is developed for sub-grid modeling to be coupled with the resolved flow for turbulent combustion. The model has critical new features compared to…

Fluid Dynamics · Physics 2022-11-23 William A. Sirignano

A recent rotational flamelet model is developed and tested with an improved framework of detailed chemistry and transport. The rotational flamelet model incorporates the effects of shear strain and vorticity on local flame behavior and is…

Fluid Dynamics · Physics 2024-10-22 Wes Hellwig , Xian Shi , William A. Sirignano

Lean premixed hydrogen-air flames are strongly affected by thermodiffusive (TD) instabilities, which can alter the flame structure and enhance the local reactivity many-fold. Two recent models (Howarth et al. (Combust.~Flame 253, 2023) and…

Extending gradient-type turbulence closures to turbulent premixed flames is challenging due to the significant influence of combustion heat release. We incorporate a deep neural network (DNN) into Reynolds-averaged Navier--Stokes (RANS)…

Fluid Dynamics · Physics 2025-06-18 Priyesh Kakka , Jonathan F. MacArt

This study presents a systematic analysis of the capabilities of a flamelet model based on Flamelet Generated Manifolds (FGM) to reproduce preferential diffusion effects in partially premixed hydrogen flames. Detailed transport effects are…

Fluid Dynamics · Physics 2023-12-05 Eduardo Javier Pérez-Sánchez , Emiliano Manuel Fortes , Daniel Mira

We model the boundary-layer flashback (BLF) of CH$_4$/H$_2$/air swirling flames via large-eddy simulations with the flame-surface-density method (LES-FSD), in particular, at high pressures. A local displacement speed model tabulating the…

Fluid Dynamics · Physics 2024-07-25 Shiming Zhang , Zhen Lu , Yue Yang

Preferential diffusion plays an important role especially in hydrogen flames. Flame stretch significantly affects the flame structure and induces preferential diffusion. A problematic phenomenon occurring in real combustion devices is…

Fluid Dynamics · Physics 2024-09-24 Kazuhiro Kinuta , Reo Kai , Kotaro Yada , Ryoichi Kurose

This paper presents a flame-height correlation for laminar to transition-to-turbulent regime diffusion flames. Flame-height measurements are obtained by means of numerical and experimental studies in which three high definition cameras were…

A theory of flame propagation in curved channels is developed within the framework of the on-shell description of premixed flames. Employing the Green function appropriate to the given channel geometry, an implicit integral representation…

Fluid Dynamics · Physics 2009-10-13 Hazem El-Rabii , Guy Joulin , Kirill A. Kazakov

The influence of equivalence ratio on preferential diffusion effects and the resulting changes in the distributions of major species and their reaction rates have been analysed based on 2D simulations of lean ${\mathrm{H_2}}$-air laminar…

Fluid Dynamics · Physics 2024-05-21 Frederick W Young , Umair Ahmed , Nilanjan Chakraborty

Large hydrocarbon fuels are used for ground and air transportation and will be for the foreseeable future. Despite their extensive use, turbulent combustion of large hydrocarbon fuels, remains relatively poorly understood and difficult to…

Fluid Dynamics · Physics 2022-01-04 Aaron J. Fillo , Jonathan Bonebrake , David L. Blunck

The study investigates the response dynamics of premixed jet flames when incident with blast waves along the jet axis. In the present work, blast waves are generated using the wire-explosion technique. The generated blast wave interacts…

Fluid Dynamics · Physics 2024-04-22 Akhil Aravind , Gautham Vadlamudi , Saptarshi Basu

A novel approach for modeling the progress variable reaction rate in Large Eddy Simulations of turbulent and reacting flows is proposed. This is done in the context of two popular flamelet models which require the progress variable variance…

Fluid Dynamics · Physics 2018-10-18 Zacharias Nikolaou , Luc Vervisch

We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive Hamiltonians and degenerate nonlinear…

Numerical Analysis · Mathematics 2015-06-04 Yu-Yu Liu , Jack Xin , Yifeng Yu

The asymmetries that arise when a mixing layer involves two miscible fluids of differing densities are investigated using incompressible (low-speed) direct numerical simulations. The simulations are performed in the temporal configuration…

Fluid Dynamics · Physics 2021-01-08 Jon R. Baltzer , Daniel Livescu