Chemically Reacting Flows

Becker, Ernst

doi:10.1146/annurev.fl.04.010172.001103

Cited by 44 publications

(12 citation statements)

References 21 publications

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“…For zG ---f ocj (this means that the relaxation time is large compared with the time of change of e and p ) we obtain the coriipressibility law of a perfect gas in equilibrium state having the speed of sound b,, and for to -+ 0 from (4) we obtain the compressibility law of a perfect gas in equilibrium state having as propagation speed of sound the equilibrium speed c, . More comprehensive discussions on the validity conditions of relation (4) may be found in the papers by E. BECKER [2] and W. VINCENTI [3]. It should also be noticed that the frozen speed of sound b, is always greater than the equilibriuni speed.c,.…”

Section: Fiiiidarncntal Eqaatiorrs and Rcprosontatioii Of Tho Solutionmentioning

confidence: 94%

“…In the case of small perturbations and when all transport phenomena are neglected the resulting state equation can be combined with the energy equation, leading to a differential relation between Q and p . The deducting of this equation and more comprehensive discussions on chemically reacting flows may be found in E. BECKER'S papers [ 11, [2]. A problem similar to that treated by us for the case of the flow over a wavy wall was considered by w. VINCENTI [3].…”

Section: Iritroductioiimentioning

confidence: 99%

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Non‐Equilibrium Flow of an Inviscid Gas past a Thin Profile

Homentcovschi

1977

Z Angew Math Mech

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This paper considers the steady and linearized motion of a non‐equilibrium inviscid gas past a thin profile. The form in distributions of the equations of the aerodynamics is used. For the symmetrical profile the problem is completely solved. For the case of the profile without thickness the problem calls for a separate consideration of the completely subsonic, intermediate and completely supersonic regimes respectively. In the first two cases the determination of the function n(x) reduces to the resolution of a Fredholm type regular integral equation of the second species. The paper gives the asymptotic solution of the problem for high values of τ0. For the case of the completely supersonic regime the problem is solved to the end. The motion of a fluid over a wall is also analysed.

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Section: Fiiiidarncntal Eqaatiorrs and Rcprosontatioii Of Tho Solutionmentioning

confidence: 94%

Section: Iritroductioiimentioning

confidence: 99%

Non‐Equilibrium Flow of an Inviscid Gas past a Thin Profile

Homentcovschi

1977

Z Angew Math Mech

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“…On the other hand, for external heating of an inert gas f = 0, and p(dh/dp) M p (8) where 7 is the ratio of specific heats. Equations (1-3) and (6) can be simplified in transonic flow because only small perturbations from the sonic velocity need to be considered.…”

Section: Basic Formulationmentioning

confidence: 99%

“…Flows with processes resulting in the evolution of heat have been the subject to extensive investigation as discussed in the review by Becker,8 and the monograph by Zierep, 9 for example. The equations for steady transonic flow of reactive gases have been formulated and discussed by Napolitano 10 and Prud'Homme.…”

Section: Introductionmentioning

confidence: 99%

UnsteadyTransonic Nozzle Flow with Heat Addition

Sichel

1981

AIAA Journal

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Transonic flows are very sensitive to heat release due to condensation, combustion, or electrical heating. The governing unsteady small disturbance equations for such flows are formulated in this paper. In particular, a slowly time-varying regime in which the characteristic disturbance time is much larger than a characteristic flow time is considered. In the case in which the unsteady heat release is spatially homogeneous, a similarity solution for flow in a converging-diverging nozzle has been found. The response of the flow to various forms of unsteady heat input has been computed, and the role of shock waves within the nozzle is considered.

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“…Recent studies of one-dimensional unsteady shock reflexion in a relaxing gas have shown that the wall pressure history is very sensitive to the relaxation processes that occur in the gas. Therefore, shock reflexion is a very useful research tool for the experimental determination of reaction rates (see, for example, Baganoff 1965;Johannesen, Bird & Zienkiewicz 1967;Smith 1968;Buggisch 1970;Becker 1972). Unfortunately, this method has certain disadvantages: for instance, the time during which useful data may be obtained is rather short, namely of the order of a few ps.…”

Section: Introductionmentioning

confidence: 99%

The steady two-dimensional reflexion of an oblique partly dispersed shock wave from a plane wall

Buggisch

1973

J. Fluid Mech.

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The steady two-dimensional problem of reflexion of an oblique partly dispersed plane shock wave from a plane wall is studied analytically. Viscosity, diffusion and heat conduction are neglected. The thermodynamic state of the gas is assumed to be determined by the instantaneous values of the specific entropy s, pressure p and a finite number of internal state variables. Results for the flow field behind the reflected shock are obtained by a perturbation method which is based on the assumption that the influence of relaxation is relatively weak.

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Chemically Reacting Flows

Cited by 44 publications

References 21 publications

Non‐Equilibrium Flow of an Inviscid Gas past a Thin Profile

Non‐Equilibrium Flow of an Inviscid Gas past a Thin Profile

UnsteadyTransonic Nozzle Flow with Heat Addition

The steady two-dimensional reflexion of an oblique partly dispersed shock wave from a plane wall

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