On the Stability of a Plane Flame Front in Oscillating Flow

1955 ◽  
Vol 27 (3) ◽  
pp. 416-424 ◽  
Author(s):  
G. H. Markstein ◽  
W. Squire
Keyword(s):  
Flame Front ◽  
Oscillating Flow ◽  
The Stability ◽  
Plane Flame

scholarly journals On Classical Solutions for A Kuramoto–Sinelshchikov–Velarde-Type Equation

Algorithms ◽  
2020 ◽  
Vol 13 (4) ◽  
pp. 77 ◽  
Author(s):  
Giuseppe Maria Coclite ◽  
Lorenzo di Ruvo
Keyword(s):  
Thermal Conduction ◽  
Type Equation ◽  
Reaction Diffusion ◽  
Classical Solutions ◽  
Well Posedness ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
The Cauchy Problem ◽  
The Stability ◽  
Plane Flame

The Kuramoto–Sinelshchikov–Velarde equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking into account the combined influence of diffusion and thermal conduction of the gas on the stability of a plane flame front. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem.

Mathematical modelling of the heating of tree elements by a plane flame front

2006 ◽  
Vol 234 ◽  
pp. S121
Author(s):  
Eusébio Z.E. Conceição ◽  
Ma Manuela J.R. Lúcio ◽  
Domingos X. Viegas
Keyword(s):  
Mathematical Modelling ◽  
Flame Front ◽  
Plane Flame

Supersonic Flow Past a Wedge with a Flame at its Apex

1968 ◽  
Vol 19 (1) ◽  
pp. 80-90 ◽  
Author(s):  
R. Foster ◽  
J. F. Clarke
Keyword(s):  
Supersonic Flow ◽  
Flame Front ◽  
Flow Patterns ◽  
Chemical Energy ◽  
Two Dimensional ◽  
Pressure Flow ◽  
Simple Waves ◽  
Flow Past ◽  
Flow Deflection ◽  
Plane Flame

SummaryThe wholly supersonic flow past a two-dimensional wedge is analysed on the assumption that release of chemical energy into the stream can be accomplished across a thin discontinuous plane flame front attached to the apex. Forces experienced by the wedge are calculated and representative flow patterns exhibited. Some typical interactions between the flame and shocks or centred simple waves are discussed, with emphasis on the use of pressure-flow-deflection diagrams to obtain results.

Theory of flame-front stability

1961 ◽  
Vol 10 (1) ◽  
pp. 80-100 ◽  
Author(s):  
Wiktor Eckhaus
Keyword(s):  
Flame Front ◽  
Laminar Flame ◽  
Flame Structure ◽  
Flame Velocity ◽  
Flame Propagation Velocity ◽  
Flame Thickness ◽  
Fluid Velocities ◽  
Laminar Flame Front ◽  
Coefficient Of Heat Conductivity ◽  
The Stability

A study of the stability of a plane laminar flame front is made. The effects of disturbances on the flame structure are investigated by a small perturbations technique, taking into account the mechanism of diffusion, heat conduction and unsteady combustion. By use of a simplified model of the flame structure, and the assumption that the flame thickness is small compared with the wavelength of disturbances, a formula for the perturbation of the flame propagation velocity is derived. The flame velocity is shown to depend on the curvature of the flame, and on the rates of change of fluid velocities at the flame boundary. From stability analysis it then follows that properties of the mixture, as expressed in terms of the coefficient of heat conductivity and various coefficients of diffusion, play an important role in determining the stability picture. For some estimated values of these parameters the theoretical results are shown to agree with the general trend of the experimentally observed behaviour.

scholarly journals STABILITY OF ARMOR UNITS IN FLOW THROUGH A LAYER

1984 ◽  
Vol 1 (19) ◽  
pp. 175
Author(s):  
Alex C. Thompson ◽  
Hans F. Burcharth
Keyword(s):  
Steady Flow ◽  
Scale Effect ◽  
Oscillating Flow ◽  
Flow Angle ◽  
Reservoir Effect ◽  
Flow Through ◽  
Rubble Mound ◽  
Steep Waves ◽  
The Stability ◽  
Rubble Mound Breakwaters

As part of a program to study the hydraulics of wave attack on rubble mound breakwaters tests were made on model armour units in a steady flow through a layer laid on a slope. The flow angle has little effect on stability for dolosse or rock layers. The head drop at failure across each type of layer is similar but the dolosse layer is more permeable and fails as a whole. There was no viscous scale effect. These results and earlier tests in oscillating flow suggest a 'reservoir' effect is important in the stability in steep waves.

scholarly journals TIME-AVERAGED TURBULENT MIXING AND VERTICAL CONCENTRATION DISTRIBUTION OF HIGH-DENSITY SUSPENSIONS FORMED UNDER WAVES

2011 ◽  
Vol 1 (32) ◽  
pp. 20
Author(s):  
Bing Yan ◽  
Qing-He Zhang ◽  
Michael Lamb
Keyword(s):  
Turbulent Mixing ◽  
Concentration Distribution ◽  
Suspended Sediment Concentration ◽  
Sediment Concentration ◽  
High Density ◽  
Oscillating Flow ◽  
Mixing Length ◽  
Flow Data ◽  
The Stability ◽  
Mixing Length Theory

We analyzed oscillating flow data from U-tube experiments by Lamb et al. (2004) and found that the time-averaged turbulent kinetic energy (TKE) near bed decreased exponentially with height above the bed in high-density-suspension (HDS) flows under waves, and that the ratios of TKE distributions in the streamwise, cross-stream, and vertical dimensions were constant. Based on the finite-mixing-length theory, a semi-theoretical time-averaged suspended sediment concentration model for HDS was developed. To avoid the stability problems with the numerical solution, a simplified model was also formulated through combing the apparent Fickian diffusivity and the damping function. The comparison between the calculated results and measurements shows both models consider the effect of the sediment-induced stratification well.

Thermal-Diffusive Stability of Counterflow Premixed Flames at Low Lewis Numbers

2014 ◽  
Vol 1040 ◽  
pp. 608-613 ◽  
Author(s):  
Sergey Mokrin ◽  
R.V. Fursenko ◽  
S.S. Minaev
Keyword(s):  
Growth Rate ◽  
Flame Front ◽  
Dispersion Equation ◽  
Premixed Flames ◽  
Stability Diagram ◽  
Material Synthesis ◽  
Lean Burn ◽  
The Stability ◽  
Low Nox Emission ◽  
First Time

Dynamics of radiative, near-limit, stretched premixed flames is investigated analytically and numerically. Investigation of counterflow premixed flames stability is important for the development of new combustion technologies such as those associated with low-NOx emission, lean burn and material synthesis. Emphasis is paid on the linear stability of multiple flame regimes. The present analysis, for the first time, gives out a dispersion equation describing growth rate of small spatial perturbations of the flame front. The stability diagram is obtained and the region of instability is distinguished.

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