×

Dynamics of heavy particles in a Burgers vortex. (English) Zbl 0844.76036

The article presents a linear stability analysis and some numerical results on the motion of heavy particles in the Burgers vortex flow, under the combined effects of particle inertia, Stokes drag, and gravity. The corresponding nonlinear system contains the following dimensionless parameters: the particle Stokes number, the Froude number, and the vortex Reynolds number. The authors perform stability analysis for some correlations between the above parameters.

MSC:

76E99 Hydrodynamic stability
76D99 Incompressible viscous fluids
PDFBibTeX XMLCite
Full Text: DOI Link

References:

[1] DOI: 10.1080/02726358508906434 · doi:10.1080/02726358508906434
[2] DOI: 10.1017/S0022112088000102 · Zbl 0643.76061 · doi:10.1017/S0022112088000102
[3] DOI: 10.1063/1.868283 · Zbl 0829.76091 · doi:10.1063/1.868283
[4] DOI: 10.1063/1.857394 · doi:10.1063/1.857394
[5] DOI: 10.1017/S0022112092001071 · doi:10.1017/S0022112092001071
[6] DOI: 10.1017/S0022112092001083 · doi:10.1017/S0022112092001083
[7] DOI: 10.1017/S002211209200140X · doi:10.1017/S002211209200140X
[8] DOI: 10.1017/S0022112092002532 · doi:10.1017/S0022112092002532
[9] DOI: 10.1063/1.858854 · Zbl 0782.76087 · doi:10.1063/1.858854
[10] DOI: 10.1063/1.868254 · doi:10.1063/1.868254
[11] DOI: 10.1063/1.857620 · doi:10.1063/1.857620
[12] DOI: 10.1017/S0022112091002276 · doi:10.1017/S0022112091002276
[13] DOI: 10.1063/1.858045 · doi:10.1063/1.858045
[14] DOI: 10.1017/S0022112093002708 · doi:10.1017/S0022112093002708
[15] DOI: 10.1038/344226a0 · doi:10.1038/344226a0
[16] DOI: 10.1063/1.857938 · doi:10.1063/1.857938
[17] DOI: 10.1016/S0065-2156(08)70100-5 · doi:10.1016/S0065-2156(08)70100-5
[18] DOI: 10.1115/1.3601323 · doi:10.1115/1.3601323
[19] DOI: 10.1063/1.864230 · Zbl 0538.76031 · doi:10.1063/1.864230
[20] DOI: 10.1063/1.858049 · doi:10.1063/1.858049
[21] DOI: 10.1017/S0022112093002393 · Zbl 0800.76156 · doi:10.1017/S0022112093002393
[22] DOI: 10.1063/1.864271 · doi:10.1063/1.864271
[23] DOI: 10.1146/annurev.fl.24.010192.001225 · doi:10.1146/annurev.fl.24.010192.001225
[24] DOI: 10.1017/S0022112088000928 · doi:10.1017/S0022112088000928
[25] DOI: 10.1017/S002211208600099X · doi:10.1017/S002211208600099X
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.