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We have studied flame propagation in a strained mixing layer formed between a fuel stream and an oxidizer stream, which can have different initial temperatures. Allowing the Lewis numbers to deviate from unity, the problem is first formulated within the framework of a thermo-diffusive model and a single irreversible reaction. A compact formulation is then… (More)

We derive analytical expressions for the burning rate of a flame propagating in a prescribed steady parallel flow whose scale is much smaller than the laminar flame thickness. In this specific context, the asymptotic results can be viewed as an analytical test of Damköhler’s hypothesis relating to the influence of the small scales in the flow on the flame;… (More)

- J. DAOU
- 2002

We study the propagation of premixed flames in two-dimensional channels accounting for heat-losses by conduction to the channel’s walls and a prescribed Poiseuille flow. A diffusive-thermal model is used and the calculations reported are based on Arrhenius-type chemistry. Attention is focused on the influence of the magnitude of heat losses, the channel… (More)

- J. DAOU
- 2001

We describe flame propagation in a channel subject to a Poiseuille flow, within the thermo-diffusive approximation and an adiabatic context. The two-dimensional flame fronts addressed may be either assisted or opposed by the flow. The problem is characterized by two parameters, the intensity of the flow u0 and the spatial scale e. The total burning rate and… (More)

- J A Levenson, M E Safar, A C Simon, A I Kheder, J N Daou, B I Levy
- Angiology
- 1981

Systemic arterial compliance was estimated in 31 men, including 15 patients with sustained essential hypertension and 16 normal subjects of the same age. Values were derived from analysis of the monoexponential blood pressure-time curve during diastole, according to a simple viscoelastic model. In normal subjects, baseline arterial compliance was 2.56 +/-… (More)

We present an asymptotic study of the effect of volumetric heat loss on the propagation of triple flames in a counterflow configuration at constant density. Analytical results for the speed, the local burning rate, the shape and the extent of the flame front are derived in the asymptotic limits of weak strain rates and large activation energies and for… (More)

- J. DAOU
- 1998

The present paper is concerned with combustion of an initially spherical kernel of cold fuel, which in a hot oxidizing atmosphere is suddenly put into motion. The investigations are within the framework of an axisymmetric geometry and the flame-sheet model. After a brief description of the aerodynamics of the burning process, including deformation and… (More)

We consider the propagation of laminar premixed flames in the presence of a parallel flow whose scale is smaller than the laminar flame thickness. The study addresses fundamental aspects with relevance to flame propagation in narrow channels, to the emerging micro-combustion technology, and to the understanding of the effect of small scales in a (turbulent)… (More)

- J. DAOU
- 1999

We describe two-dimensional steady propagating flame fronts in the stagnation mixing layer between two opposed streams of the same reactive mixture, the propagation taking place in the direction perpendicular to the plane of strain. The front, which is curved by the nonuniform flow field, separates a chemically frozen region from a region with a twin-flame… (More)

- Joel Daou
- 2007

We consider the effect of the reversibility of the chemical reaction on the propagation and stability of laminar premixed flames, an important realistic aspect which has received little attention in the literature. For the sake of analytical tractability and clarity of the results, the thermodiffusive approximation of constant density is adopted, along with… (More)