Numerical Simulation of Shock Wave Propagation n a Mixture of a Gas and Solid Particles

Федоров, А. В.; Fedorchenko, I. A.

doi:10.1007/s10573-010-0076-7

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…Drag from high-pressure gas entering the layer from the y-direction compresses the particles, which thins the dust layer immediately behind the shock. These results agree well with those of Fedorov & Fedorchenko (2010), in spite of the use of different drag and convective heat transfer models.…”

Section: High-pressure Outgassingsupporting

confidence: 88%

A multiphase model for compressible granular–gaseous flows: formulation and initial tests

2016

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A model for predicting the behaviour of a compressible flow laden with shocks interacting with granular material has been developed and tested. The model consists of two sets of coupled Euler equations, one for the gas phase and the other for the granular phase. Drag, convective, heat transfer and non-conservative terms couple the two sets of governing equations. Intergranular stress acting on the grains is modelled using granular kinetic theory in dilute regimes where particle collisions are dominant and frictional-collisional pressure in dense regions where layers of granular material slide over one another. The two-phase granular-gaseous model, as a result, is valid from dilute to densely packed granular regimes. The solution of these nonlinearly coupled Euler equations is challenging due to the presence of the non-conservative nozzling and work terms. A numerical technique, based on Godunov's method, was designed for solving these equations. This method takes advantage of particle incompressibility to simplify the nozzling terms. It also uses the observation that a Riemann problem is valid in the region where gas can flow between particles and can be used to provide a physically accurate approximation of the non-conservative terms. The model and solution method are verified by comparisons to test problems involving granular shocks and two-phase shock-tube problems, and they are validated against experimental measurements of shock and dense particle-curtain interactions and transmitted oblique granular shocks.

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Section: High-pressure Outgassingsupporting

confidence: 88%

A multiphase model for compressible granular–gaseous flows: formulation and initial tests

2016

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“…The solution shown in Fig. 17 agrees qualitatively well with [86] despite the use of different drag and heat transfer models. A vortex is introduced in the gas-phase from a shear layer produced as particle drag locally decreases the fluid velocity in the granular layer.…”

Section: Interaction Of a Shock Wave And A Low-volume-fraction Dust Pilesupporting

confidence: 54%

“…This problem models the interaction of an inviscid shock wave with a loose dust layer, similar to that presented by Fedorov et al [86]. The heights of the channel and dust layer are 6 and 2 cm, respectively.…”

Section: Interaction Of a Shock Wave And A Low-volume-fraction Dust Pilementioning

confidence: 76%

See 1 more Smart Citation

A Technique for Computing Dense Granular Compressible Flows with Shock Waves

Houim,

Oran

2013

Preprint

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A numerical procedure was developed for solving equations for compressible granular multiphase flows in which the particle volume fraction can range dynamically from very dilute to very dense. The procedure uses a low-dissipation and high-order numerical method that can describe shocks and incorporates a particulate model based on kinetic theory. The algorithm separates edges of a computational cell into gas and solid sections where gas-and granular-phase Riemann problems are solved independently. Solutions from these individual Riemann problems are combined to assemble the fully coupled convective fluxes and nonconservative terms for both phases. The technique converges under grid refinement even with very high volume fraction granular interfaces. The method can advect sharp granular material interfaces that coincide with multi-species gaseous contact surfaces without violating the pressure nondisturbing condition. The procedure also reproduces known features from multiphase shock tube problems, granular shocks, transmission angles of compaction waves, and shock wave and dust-layer interactions. This approach is relatively straightforward to use in an existing code based on Godunov's method and can be constructed from standard compressible solvers for the gas-phase and a modified AUSM + -up scheme for the particle phase.

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Numerical modeling of the coal-and-gas outburst gasdynamics

Федоров

Fedorchenko

2010

J Min Sci

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Numerical Simulation of Shock Wave Propagation n a Mixture of a Gas and Solid Particles

Cited by 5 publications

References 10 publications

A multiphase model for compressible granular–gaseous flows: formulation and initial tests

A multiphase model for compressible granular–gaseous flows: formulation and initial tests

A Technique for Computing Dense Granular Compressible Flows with Shock Waves

Numerical modeling of the coal-and-gas outburst gasdynamics

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