Characterization of the speed of a two‐phase interface in a porous medium

Abbassi, Adil; Namah, Gawtum

doi:10.1155/mpe.2005.641

Cited by 2 publications

(3 citation statements)

References 7 publications

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“…The Eulerian approach has been widely used in simulations of incompressible regimes. [13][14][15][16][17] Nevertheless, for modeling compressible multiphase flow, unlike the Navier-Stokes equations of the gas phase, the droplet phase governing equation system is found to be non-hyperbolic, which will lead to an illposed problem and produce non-physical results. [18][19][20][21] In order to obtain a well-posed equation system, the kinetic theory of granular flow [22][23][24][25] is introduced in the current study.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of transverse liquid jet to a supersonic crossflow using a pure two-fluid model

Liu

Guo

Lin

2016

Advances in Mechanical Engineering

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A pure two-fluid model was used for investigating transverse liquid jet to a supersonic crossflow. The well-posedness problem of the droplet phase governing equations was solved by applying an equation of state in the kinetic theory. A k-e-k p turbulence model was used to simulate the turbulent compressible multiphase flow. Separation of boundary layer in front of the liquid jet was predicted with a separation shock induced. A bow shock was found to interact with the separation shock in the simulation result, and the adjustment of shock structure caused by the interaction described the whipping phenomena. The predicted penetration height showed good agreement with the empirical correlations. In addition, the turbulent kinetic energies of both the gas and droplet phases were presented for comparison, and effects of the jet-to-air momentum flux ratio and droplet diameter on the penetration height were also examined in this work.

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Section: Introductionmentioning

confidence: 99%

Numerical simulations of transverse liquid jet to a supersonic crossflow using a pure two-fluid model

Liu

Guo

Lin

2016

Advances in Mechanical Engineering

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“…The complete solution of the Riemann Problem associated with a compressible flow of the generalized Chaplygin gas was presented by Pang et al [13], accounting for a delta shock wave. Abbassi and Namah [14] describe the oil-water interface of the displacement of oil by water injection in a porous medium (representing an oil reservoir). An auxiliary Riemann Problem is solved in order to obtain the oil-water speed explicit expression.…”

Section: Introductionmentioning

confidence: 99%

“…An auxiliary Riemann Problem is solved in order to obtain the oil-water speed explicit expression. It is worth noting that Abbassi and Namah [14] employ a Mixture Theory approach. The Dam-Break Problem has a clear analogy with the classical Riemann Problem, since dam-break flows present an initial discontinuity on both sides of the dam wall caused by two district states.…”

Section: Introductionmentioning

confidence: 99%

A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition

Martins‐Costa

Silva

et al. 2019

Mathematical Problems in Engineering

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The present work proposes an adequate constitutive relation to treat the process of filling with a fluid porous medium. This relation assures the problem to remain hyperbolic when the porous medium is saturated by the fluid. When the fluid fraction reaches porosity, the proposed constitutive relation increases the porous matrix resistance to more fluid inlet due to an important feature: it is a continuous and differentiable function with first derivative being also an increasing function. This allows assuring that the fluid fraction may exceed the porosity only by a very small value, making the constitutive relation realistic. Some examples compare this new constitutive relation with previous ones, highlighting its advantages.

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Characterization of the speed of a two‐phase interface in a porous medium

Cited by 2 publications

References 7 publications

Numerical simulations of transverse liquid jet to a supersonic crossflow using a pure two-fluid model

Numerical simulations of transverse liquid jet to a supersonic crossflow using a pure two-fluid model

A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition

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