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Related papers: Unsteady solutions of the spray flamelet equations

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Solving the spray flamelet equations in composition space is very challenging, which is attributable to the fact that the maximum value of the mixture fraction, $Z_\mathrm{max}$, is a priori unknown in such flames. In this work, an…

Spray detonation in n-heptane two-phase mixtures is simulated using Eulerian Lagrangian method. Two-dimensional configuration is considered, and the effects of droplet diameter and liquid equivalence ratio on detonation propagation,…

Fluid Dynamics · Physics 2022-09-27 Qingyang Meng , Majie Zhao , Yong Xu , Liangqi Zhang , Huangwei Zhang

Droplet evaporation in turbulent sprays involves unsteady, multiscale and multiphase processes which make its comprehension and model capabilities still limited. The present work aims to investigate droplet vaporization dynamics within a…

Fluid Dynamics · Physics 2017-03-20 Federico Dalla Barba , Francesco Picano

Droplet vaporization has a great impact on combustion of liquid fuels and might greatly affects the engine performance. Physical understanding and theoretical interpretation of the droplet vaporization behavior are decisive to constitute…

Fluid Dynamics · Physics 2020-06-30 Dehai Yu , Zheng Chen

A new unsteady flamelet model is developed to be used for sub-grid modeling and coupling with the resolved flow description for turbulent combustion. Difficulties with prior unsteady flamelet models are identified. The model extends the…

Fluid Dynamics · Physics 2024-02-02 William A. Sirignano

We study the mathematical evolution of a liquid fuel droplet inside a vessel. In particular, we analyze the evolution of the droplet radius on a finite time interval. The model problem involves an hyperbolic system coupled with the pressure…

Analysis of PDEs · Mathematics 2009-09-29 Radjaverane Alexandre , Long Nguyen Thanh , Alain Pham Ngoc Dinh

In this work, spray flamelet structures subject to curvature are systematically studied, emphasizing the ways in which this quantity modifies the budgets of the corresponding flamelet equations and their stretch-induced extinction limit.…

We study unsteady internal flows in a sessile droplet of capillary size evaporating in constant contact line mode on a heated substrate. Three-dimensional simulations of internal flows in evaporating droplets of ethanol and silicone oil…

Fluid Dynamics · Physics 2021-02-12 A. A. Gavrilina , L. Yu. Barash

Evolution of fuel droplet evaporation zone and its interaction with the propagating flame front are studied in this work. A general theory is developed to describe the evolutions of flame propagation speed, flame temperature, droplet…

Fluid Dynamics · Physics 2022-12-14 Qiang Li , Chang Shu , Huangwei Zhang

We develop a model for the thermodynamics and evaporation dynamics of aerosol droplets of a liquid such as water, surrounded by the gas. When the temperature and the chemical potential (or equivalently the humidity) are such that the vapour…

Soft Condensed Matter · Physics 2023-11-23 A. J. Archer , B. D. Goddard , R. Roth

The problem of non-perturbative description of unsteady premixed flames with arbitrary gas expansion is solved in the two-dimensional case. Considering the flame as a surface of discontinuity with arbitrary local burning rate and gas…

Fluid Dynamics · Physics 2015-05-13 Guy Joulin , Hazem El-Rabii , Kirill A. Kazakov

An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit…

Numerical Analysis · Mathematics 2022-01-11 Filip Ivančić , Maxim Solovchuk

The dynamics of the interaction of a system of two thin volatile liquid droplets resting on a soft viscoelastic solid substrate are investigated theoretically. The developed model fully considers the effect of evaporative cooling and the…

Fluid Dynamics · Physics 2023-10-13 Anna Malachtari , George Karapetsas

We study the dynamics of a liquid droplet inside a gas over a large range of the Knudsen numbers. The moving liquid droplet is modeled by the incompressible Navier-Stokes equations, the surrounding rarefied gas by the Boltzmann equation.…

Numerical Analysis · Mathematics 2012-02-15 Sudarshan Tiwari , Axel Klar , Steffen Hardt

Accurate prediction of a dense spray using an Euler-Lagrange approach is challenging because of high volume fraction of the dispersed phase due to subgrid cluster of droplets. To accurately model dense sprays, one needs to capture this…

Fluid Dynamics · Physics 2020-04-14 Pedram Pakseresht , Sourabh V. Apte

Propagation of weakly stretched spherical flames in partially pre-vaporized fuel sprays is theoretically investigated in this work. A general theory is developed to describe flame propagation speed, flame temperature, droplet evaporation…

Fluid Dynamics · Physics 2021-02-03 Qiang Li , Huangwei Zhang , Chang Shu

The realization that interfacial features play little role in diesel spray vaporization and advection has changed the modus operandi for spray modeling. Lagrangian particle tracking has typically been focused on droplet behavior, with…

Computational Physics · Physics 2021-07-12 Majid Haghshenas , Peetak P. Mitra , Chu Wang , Fabien Tagliante , Lyle Pickett , David P. Schmidt

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

Statistical Mechanics · Physics 2017-03-28 Rubén Gómez González , Vicente Garzó

The depressurization of the surrounding chamber or superheating of the injected liquid is responsible for the flashing of the sprays, which promotes micro-explosion of many bubbles near free-surface and thereby leading to primary…

Fluid Dynamics · Physics 2021-01-22 B. Bhatia , A. De , E. Gutheil

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…

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