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Reformulating and quantifying the generalized added mass in filtered gas-solid flow models
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10.1063/1.2131925
/content/aip/journal/pof2/17/11/10.1063/1.2131925
http://aip.metastore.ingenta.com/content/aip/journal/pof2/17/11/10.1063/1.2131925

Figures

Image of FIG. 1.
FIG. 1.

(a) Favre averaged axial slip velocity versus time. (b) Temporal Fourier spectrum of the Favre averaged axial slip velocity. Conditions: see Table I (I.a.i). Reynolds averaged solid volume fraction of 0.05. Domain size: 2 cm×8 cm; number of grids: 32×128.

Image of FIG. 2.
FIG. 2.

(a) vs time. (b) vs time. Conditions: see Table I (I.a.i). Reynolds averaged solid volume fraction of 0.05. Domain size: 2 cm×8 cm; number of grids: 32×128.

Image of FIG. 3.
FIG. 3.

(a) vs time. (b) [Eq. (37)] vs time. Conditions: see Table I (I.a.i). Reynolds averaged solid volume fraction of 0.05. Domain size: 2 cm×8 cm; number of grids: 32×128.

Image of FIG. 4.
FIG. 4.

Comparison of from DMS and from model equation (49). [Eq. (37)] vs time. Conditions: see Table I (I.a.i). Reynolds averaged solid volume fraction of 0.05. Domain size: 2 cm×8 cm; number of grids: 32×128.

Image of FIG. 5.
FIG. 5.

Mixture speed of sound as a function of the sound frequency and the solid volume fraction calculated with the filtered model [Eqs. (14), (15), (24), and (25)] with a generalized added mass (Ref. 18), with as . (a) , (b) , (c) , (d) , (e) . Cond.: , , , .

Image of FIG. 6.
FIG. 6.

Maximum allowable generalized added mass coefficient [Eqs. (22), (24), (25), and (45)] as a function of the filter frequency . Determined from a mixture speed of sound analysis with the filtered model [Eqs. (14), (15), (24), and (25)] with a generalized added mass (Ref. 18) (see Fig. 5). Cond.: , , , .

Tables

Generic image for table
Table I.

Simulation parameters.

Generic image for table
Table II.

Calculated Reynolds stress terms and parameters. Influence of grid refinement and the simulation domain size. Conditions: see Table I. Reynolds averaged solid volume fraction of 0.05. Decomposition of according to Eq. (48).

Generic image for table
Table III.

Calculated Reynolds stress terms and parameters. Influence of the Reynolds averaged solid volume fraction. Conditions: see Table I. Domain size: 2 cm×8 cm; number of grids: 32×128. Decomposition of according to Eq. (48).

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/content/aip/journal/pof2/17/11/10.1063/1.2131925
2005-11-21
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Reformulating and quantifying the generalized added mass in filtered gas-solid flow models
http://aip.metastore.ingenta.com/content/aip/journal/pof2/17/11/10.1063/1.2131925
10.1063/1.2131925
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