Numerical simulation of detonation initiation in a contoured tube

Semenov, I. V.; Utkin, P. S.; Марков, В. В.

doi:10.1007/s10573-009-0087-4

Cited by 12 publications

(6 citation statements)

References 7 publications

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“…It is this shape that has been chosen for experimental validation. The existence of optimal shape is discussed by Semenov et al (2009) …”

Section: Computational Studymentioning

confidence: 99%

“…The mechanism of detonation initiation in the tube with parabolic contraction and conical expansion (see Semenov et al, 2008a;Semenov et al, 2009) implies that if DW fails to form at cross section z Ã a reasonable increase of L 3 will not change the situation. Thus, Figure 3 shows the failure of detonation initiation in a tube with the smooth-walled conical expansion while the sinusoidal shaping of the conical expansion leads to detonation initiation, other conditions being equal.…”

Section: Detonation Initiation In Profiled Tubesmentioning

confidence: 99%

“…The mechanism of SDT in a round tube with a localized parabolic contraction of the cross section followed by the conical expansion with smooth walls was analyzed qualitatively and quantitatively. Three stages of the SDT phenomenon have been identified, namely, (a) double Mach reflection of the ISW from the curved wall, (b) local explosion(s) due to the cumulation of Mach stem or reflected shock wave, and (c) detonation reinitiation due to interactions of blast waves from local explosions with the conical expansion (Semenov et al, 2008a, Semenov et al, 2009.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and Experimental Investigation of Detonation Initiation in Profiled Tubes

Semenov

Utkin

Марков

et al. 2010

Combustion Science and Technology

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Detonation initiation in a tube with parabolic contraction and conical expansion was investigated numerically and experimentally. The optimized geometry of conical expansion with sine-shaped wall is proposed. The generalized diagram in the form of detonation curves at the contraction slope angle versus incident shock Mach number plane is presented. For solving the governing Euler equations, the numerical method based on finite volume approach with Godunov flux approximation adapted for multiprocessor systems is used. It has been shown experimentally that the parabolic contraction and conical expansion ensure shock-todetonation transition in a stoichiometric propane-air mixture under normal conditions at a very low minimal incident shock wave velocity of 680 AE 20 m/s, which approximately corresponds to a Mach number of 2. This result is important for novel jet propulsion systems with detonative burning of fuel-pulse detonation engines.

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“…It is this shape that has been chosen for experimental validation. The existence of optimal shape is discussed by Semenov et al (2009) …”

Section: Computational Studymentioning

confidence: 99%

Section: Detonation Initiation In Profiled Tubesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical and Experimental Investigation of Detonation Initiation in Profiled Tubes

Semenov

Utkin

Марков

et al. 2010

Combustion Science and Technology

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“…In authors£ ¦ndings [2,3], the novel method for SDT due to the special pro¦ling of channel or axisymmetrical tube walls was introduced and investigated. The mechanism of initiation was determined by the gas dynamics cumulation e¨ects when the initiating SW (ISW) interacted with the pro¦led walls.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of detonation initiation via flow cumulation effects

Semenov

Utkin

Akhmedyanov

2016

Progress in Propulsion Physics

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The paper concerns two problems connected with the idea of gaseous detonation initiation via §ow cumulation e¨ects and convergence of relatively weak shock waves (SW). The ¦rst one is the three-dimensional (3D) numerical investigation of shock-to-detonation transition (SDT) in methane air mixture in a tube with parabolic contraction followed by the tube section of narrow diameter and conical expansion. The second problem is the numerical study of the start-up of the model small-scale hydrogen electrochemical pulse detonation engine with the use of electrical discharge generating the toroidal SW. The investigation is performed by means of numerical simulation with the use of modern high-performance computing systems.

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“…In the late 1990s, a new method of initiation using the cumulation effect of an initially weak shock wave near the axis or center of symmetry [1, 2] was studied in a one-dimensional approach. An extension of this approach to two-dimensional plane and axisymmetric flows is the original method of contoured tubes [3,4], according to which a weak shock wave moving in a channel interacts with the walls, resulting in cumulation near the axis creation of favorable conditions for ignition and transformation of the shock to a detonation wave. According to the hypersonic analogy [5,6], the tube flow is similar to the axisymmetric one-dimensional unsteady flow produced by a piston whose radius varies with time according to the shape of the tube contour.…”

mentioning

confidence: 99%

Detonation initiation by rotation of an elliptic cylinder inside a circular cylinder and deformation of the channel walls

Левин

Мануйлович

Марков

2010

J Appl Mech Tech Phy

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The possibility of initiating detonation in a closed field due to motion of its boundaries for a one-step kinetic model is studied by numerical simulation of the problems of flow of a propane-air mixture inside and outside a rotating elliptic cylinder enclosed in a circular cylinder; in rotation of a circular cylinder with parabolic blades uniformly distributed along its boundary, or in rotation of a starshaped figure with parabolic rays originating from the center of rotation; and in a plane chamber with deformable walls. Critical parameter values for which detonation occurs are determined. A method of approximate description of the processes occurring in three-dimensional helical channels is considered. In the numerical study of these processes, software based on the Godunov scheme was used.Introduction. Among the problems of wave processes in reactive gas mixtures, self-sustained detonation propagation holds a special place. Continuing attention to this problem is due, in particular, to the use of detonations in various human activities. Increased interest in detonation in the last decade has been motivated by attempts to use detonation in propulsion units. Estimates show that the thermal efficiency of engines using detonation combustion is much higher than the efficiency of conventional combustion devices. In this case, the main problem is detonation initiation. Traditionally, there are two approaches to solving this problem. The first involves the ignition of a mixture by a weak energy source with subsequent deflagration-to-detonation transition implemented by special devices boosting combustion. This leads to transition from normal combustion to a detonation mode. The second approach, called direct initiation of detonation, consists of detonation initiation by a shock wave propagating from an external energy source, for example, igniting of an explosive or electrical or laser breakdown. Detonation can be initiated by a shock wave propagating ahead of a body moving at hypersonic velocity in a combustible mixture or ahead of an immovable body in hypersonic flow. In the late 1990s, a new method of initiation using the cumulation effect of an initially weak shock wave near the axis or center of symmetry [1, 2] was studied in a one-dimensional approach. An extension of this approach to two-dimensional plane and axisymmetric flows is the original method of contoured tubes [3,4], according to which a weak shock wave moving in a channel interacts with the walls, resulting in cumulation near the axis creation of favorable conditions for ignition and transformation of the shock to a detonation wave. According to the hypersonic analogy [5,6], the tube flow is similar to the axisymmetric one-dimensional unsteady flow produced by a piston whose radius varies with time according to the shape of the tube contour. Investigations of the detonation initiation by a piston have led to the conclusion that it is effective from the point of view of minimization of both power inputs and the time required for detonation initiation ...

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Numerical simulation of detonation initiation in a contoured tube

Cited by 12 publications

References 7 publications

Numerical and Experimental Investigation of Detonation Initiation in Profiled Tubes

Numerical and Experimental Investigation of Detonation Initiation in Profiled Tubes

Mathematical modeling of detonation initiation via flow cumulation effects

Detonation initiation by rotation of an elliptic cylinder inside a circular cylinder and deformation of the channel walls

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