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Related papers: Diffusive-thermal instabilities of a planar premix…

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This study investigates the effect of increasing strain rate on thermodiffusively unstable, lean premixed hydrogen flames in a 2D counterflow configuration through detailed-chemistry numerical simulations for the first time. The analysis of…

Conjugate heat transfer is a challenging fluid-structure coupling problem that can significantly influence flame stabilization and thermoacoustic instabilities. To properly capture combustion phenomena that involve conjugate heat transfer,…

Fluid Dynamics · Physics 2024-12-19 Lu Chen , Wai Lee Chan , Yu Lv

We study in a strip of $\mathbb R^2$ a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respectively the ignition and the trailing fronts. The latter…

Analysis of PDEs · Mathematics 2018-07-09 Davide Addona , Claude-Michel Brauner , Luca Lorenzi , Wen Zhang

Elastic turbulence has been found in computations of planar viscoelastic Taylor-Couette flow using the Oldroyd-B model, apparently generated by a linear instability (van Buel et al. Europhys. Lett., 124, 14001, 2018). We demonstrate that no…

Fluid Dynamics · Physics 2025-07-08 Miguel Beneitez , Soufiane Mrini , Rich R. Kerswell

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

This work presents numerical results on the transport of heat and chemical species by shear-induced turbulence in strongly stratified but thermally diffusive environments. The shear instabilities driven in this regime are sometimes called…

Solar and Stellar Astrophysics · Physics 2016-04-20 Pascale Garaud , Logithan Kulenthirarajah

We theoretically and numerically investigate the instabilities driven by diffusiophoretic flow, caused by a solutal concentration gradient along a reacting surface. The important control parameter is the Peclet number Pe, which quantifies…

Fluid Dynamics · Physics 2021-06-09 Yibo Chen , Kai Leong Chong , Luoqin Liu , Roberto Verzicco , Detlef Lohse

The influence of flow non-uniformity and unsteadiness on premixed flames is of considerable interest due to its direct relevance to practical combustion systems. The steady counterflow flame has long served as a canonical configuration for…

Fluid Dynamics · Physics 2025-10-30 Jose G Rivera Lizarralde , Aditya Potnis , Abhishek Saha

Steady propagation of premixed flames in straight channels is studied numerically using the on-shell approach. A first numerical algorithm for solving the system of nonlinear integro-differential on-shell equations is presented. It is based…

Fluid Dynamics · Physics 2018-09-26 Kirill A. Kazakov , Oleg G. Kharlanov

In this paper we consider ignition-temperature, first-order reaction model of thermo-diffusive combustion that describes dynamics of thick flames arising in a theory of combustion of hydrogen-oxygen and ethylene-oxygen mixtures. These…

Chaotic Dynamics · Physics 2017-04-03 Nathan Kilker , Dmitry Golovaty , Peter V. Gordon , Leonid Kagan , Gregory I. Sivashinsky

The linearization principle states that the stability (or instability) of solutions to a suitable linearization of a nonlinear problem implies the stability (or instability) of solutions to the original nonlinear problem. In this work, we…

Analysis of PDEs · Mathematics 2025-07-04 Sofwah Ahmad , Szymon Cygan , Grzegorz Karch

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…

An unconfined strongly swirled flow is investigated for different Reynolds numbers using particle image velocimetry (PIV) and Large Eddy Simulation (LES) with a Thickened Flame (TF) model. Both reacting and non-reacting flow results are…

Fluid Dynamics · Physics 2021-03-05 Ashoke De , Shengrong Zhu , Sumanta Acharya

It is well known that for reaction-diffusion systems with differential isotropic diffusions, a Turing instability yields striped solutions. In this paper we study the impact of weak anisotropy by directional advection on such solutions, and…

Analysis of PDEs · Mathematics 2020-03-09 Jichen Yang , Jens D. M. Rademacher , Eric Siero

A theoretical analysis is developed to investigate the effects of gas expansion due to heat release on unsteady diffusion flames evolving in a pipe flow in which the mixing of reactants is controlled by Taylor's dispersion processes thereby…

Fluid Dynamics · Physics 2024-07-03 Prabakaran Rajamanickam , Adam D. Weiss

The linear and non-linear dynamics of centrifugal instability in Taylor-Couette flow are investigated when fluids are stably stratified and highly diffusive. One-dimensional local linear stability analysis (LSA) on cylindrical Couette flow…

Fluid Dynamics · Physics 2025-12-10 Junho Park

The buoyancy-induced parallel flow in a vertical cylindrical porous layer is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as…

Fluid Dynamics · Physics 2023-02-03 A. Barletta , D. A. S. Rees , B. Pulvirenti

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

Rotational mixing, the key process in stellar evolution, transports angular momentum and chemical elements in stellar radiative zones. In the past two decades, an emphasis has been placed on the turbulent transport induced by the vertical…

Solar and Stellar Astrophysics · Physics 2020-03-25 Junho Park , Vincent Prat , Stéphane Mathis

Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of…

Pattern Formation and Solitons · Physics 2009-10-31 Dmitry Pelinovsky