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Acoustic streaming in simplified liquid rocket engines with transverse mode oscillations
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10.1063/1.3407663
/content/aip/journal/pof2/22/6/10.1063/1.3407663
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/6/10.1063/1.3407663

Figures

Image of FIG. 1.
FIG. 1.

Chamber geometry and coordinate system.

Image of FIG. 2.
FIG. 2.

First-order approximations for (a) radial and (b) tangential velocities. The scale on the left-hand side is for injection Mach numbers of 0.3 and 0.03. The scale on the right-hand side is for .

Image of FIG. 3.
FIG. 3.

Steady second-order approximations for (a) radial and (b) tangential velocities. The scale on the left axis corresponds to an injection Mach number of 0.3 while that on the right is set to display the and 0.003 cases.

Image of FIG. 4.
FIG. 4.

First-order traveling wave vector plot at and three headwall injection Mach numbers of (a) , (b) 0.03, and (c) 0.003.

Image of FIG. 5.
FIG. 5.

Steady second-order velocity vector plot at and three headwall injection Mach numbers of (a) , (b) 0.03, and (c) 0.003.

Image of FIG. 6.
FIG. 6.

Total vector plot in the outer region illustrating the behavior of (a) the purely inviscid potential approximation up to the second order and [(b) and (c)] the same total potential solution augmented by the streaming contribution. Results are shown for , , , , and 0, (b) 0.006 47, and (c) 0.0647.

Image of FIG. 7.
FIG. 7.

Streaming velocity in the radial direction shown at several injection Mach and acoustic Reynolds numbers. Results correspond to , , , and an injection Mach number of (a) 0.003, (b) 0.03, and (c) 0.3. The scale on the left axis is specified for the case while that on the right corresponds to the and 0.0647 cases.

Image of FIG. 8.
FIG. 8.

Streaming velocity in the tangential direction shown at several injection Mach and acoustic Reynolds numbers. Results correspond to , , , and an injection Mach number of (a) 0.003, (b) 0.03, and (c) 0.3.

Image of FIG. 9.
FIG. 9.

Sectors in which oscillatory waves are enhanced or weakened by virtue of streaming. These illustrate the outcome of interactions between (a) radial and (b) tangential velocities with the streaming motion. For example, in part (a) the radially outward streaming contributions act to decelerate the radial wave in the right half while accelerating it in the left half. In part (c) the main regions of interest are delineated along with their pertinent equations.

Tables

Generic image for table
Table I.

Boundary conditions for both potential and viscous flow analyses.

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/content/aip/journal/pof2/22/6/10.1063/1.3407663
2010-06-07
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Acoustic streaming in simplified liquid rocket engines with transverse mode oscillations
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/6/10.1063/1.3407663
10.1063/1.3407663
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