One- and two-phase nozzle flows

Chang, I-Shih

doi:10.2514/6.1980-272

Cited by 8 publications

(14 citation statements)

References 13 publications

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“…2 and 1 (a). The results are in a good qualitative agreement with the observations of Nishida and Ishimaru [24] and Chang [29], although the configurations are not exactly equivalent.…”

Section: Jet Propulsion Nozzle Flowsupporting

confidence: 81%

“…Hence, smaller particles are more capable of decelerating the gas than their larger counterparts, which compensates the different magnitude of the volume fractions of both flows. A Mach number increase for larger particles was also observed in [29].…”

Section: Quantitymentioning

confidence: 58%

“…Therefore, the larger particles are not able to follow the gas streamlines parallel to the walls. Nishida and Ishimaru [24], Chang [29], and Ishii and Umeda [26] claim that there are particle free layers in the vicinity of the walls, which increase with increasing particle size. In the present study, a small amount of particles is still present in the vicinity of the walls in the diverging part.…”

Section: Quantitymentioning

confidence: 97%

“…Such macroscopic twofluid models were successfully applied to incompressible bubbly flows [22,23]. Computational models related to particleladen gas flows can be found in [16,24,25,15,26,14,[27][28][29][30]. The models employed for the different flow regimes widely agree in modeling aspects, except in the treatment of interface exchange.…”

Section: Modelingmentioning

confidence: 99%

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Implicit finite element schemes for stationary compressible particle-laden gas flows

Gurris

Kuzmin

Turek

2011

Journal of Computational and Applied Mathematics

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a b s t r a c tThe derivation of macroscopic models for particle-laden gas flows is reviewed. Semiimplicit and Newton-like finite element methods are developed for the stationary two-fluid model governing compressible particle-laden gas flows. The Galerkin discretization of the inviscid fluxes is potentially oscillatory and unstable. To suppress numerical oscillations, the spatial discretization is performed by a high-resolution finite element scheme based on algebraic flux correction. A multidimensional limiter of TVD type is employed. An important goal is the efficient computation of stationary solutions in a wide range of Mach numbers. This is a challenging task due to oscillatory correction factors associated with TVD-type flux limiters and the additional strong nonlinearity caused by interfacial coupling terms. A semi-implicit scheme is derived by a time-lagged linearization of the nonlinear residual, and a Newton-like method is obtained in the limit of infinite CFL numbers. The original Jacobian is replaced by a low-order approximation. Special emphasis is laid on the numerical treatment of weakly imposed boundary conditions. It is shown that the proposed approach offers unconditional stability and faster convergence rates for increasing CFL numbers. The strongly coupled solver is compared to operator splitting techniques, which are shown to be less robust.

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“…2 and 1 (a). The results are in a good qualitative agreement with the observations of Nishida and Ishimaru [24] and Chang [29], although the configurations are not exactly equivalent.…”

Section: Jet Propulsion Nozzle Flowsupporting

confidence: 81%

Section: Quantitymentioning

confidence: 58%

Section: Quantitymentioning

confidence: 97%

Section: Modelingmentioning

confidence: 99%

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Implicit finite element schemes for stationary compressible particle-laden gas flows

Gurris

Kuzmin

Turek

2011

Journal of Computational and Applied Mathematics

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“…In this article, two-phase theoretical and experimental studies and discussion about the one-dimensional approximation were given. Chang [4] used the MacCormack scheme to study the gas and particle flow patterns in axisymmetric convergent-divergent nozzles by changing such parameters as particle diameter and particle mass fraction. Bendor et al [5] studied various reflection patterns of planar shock waves from straight wedges in dust-gas suspensions.…”

Section: Introductionmentioning

confidence: 99%

Reacting Carbon Particle-Laden Oxygen Gas Behind a Shock Wave

Park

Baek

2005

Numerical Heat Transfer, Part A: Applications

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An analysis of the flow field, which develops when a shock wave hits a two-phase medium comprising carbon particles and oxygen gas, has a practical application to industrial accidents such as explosions at coal mine and in grain elevator. Therefore, its successful prediction of thermo-fluid mechanical characteristics would be very crucial and imperative. This paper describes and inherent interaction phenomenon behind a shock wave for a two-phase medium of gas and particles with chemical reaction. A carbon particle-laden oxygen gas is considered to be located along a ramp so that numerical integration is accomplished from the tip of ramp for a finite period. For numerical solution, a fully conservative unsteady implicit 2nd order time-accurate sub-iteration method and the 2nd order Total Variation Diminishing (TVD) scheme are used with the finite volume method (FVM) for gas phase. For particle phase, the Monotonic Upstream Schemes for Conservation Laws (MUSCL) as well as the solution of the Riemann problem for the particle motion equations is used. The transient physical development is discussed in comparison with the cases of the pure gas and the reacting particle-laden gas. The results are then extended to changing the initial gas temperature as well as the particle diameter and particle mass fraction. Major results reveal that for the reacting particle-laden gas flow, the adverse pressure gradient is so high that there exists some region in which the particle velocity exceeds the gas velocity. When the particle diameter is smaller and the particle mass fraction is higher, the thermo-fluid dynamic behavior is significantly affected due to stronger interaction of momentum and thermal energy in two-phase mixture.

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