Global stability analysis of axisymmetric liquid–liquid flow focusing
We analyse both numerically and experimentally the stability of the steady jetting tip streaming produced by focusing a liquid stream with another liquid current when they coflow through the orifice of an axisymmetric nozzle. We calculate the global eigenmodes characterizing the response of this con...
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| Veröffentlicht in: | Journal of fluid mechanics 2021-02, Vol.909, Article A10 |
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| container_title | Journal of fluid mechanics |
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| creator | Cabezas, M. G. Rebollo-Muñoz, N. Rubio, M. Herrada, M. A. Montanero, J. M. |
| description | We analyse both numerically and experimentally the stability of the steady jetting tip streaming produced by focusing a liquid stream with another liquid current when they coflow through the orifice of an axisymmetric nozzle. We calculate the global eigenmodes characterizing the response of this configuration to small-amplitude perturbations. In this way, the critical conditions leading to the instability of the steady jetting tip streaming are determined. The unstable perturbations are classified according to their oscillatory character and to the region where they originate (convective and absolute instability). We derive and explain in terms of the velocity field a simple scaling law to predict the diameter of the emitted jet. The numerical stability limits are compared with experimental results, finding reasonable agreement. The experiments confirm the existence of the two instability mechanisms predicted by the global stability analysis. |
| doi_str_mv | 10.1017/jfm.2020.953 |
| format | Article |
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G. ; Rebollo-Muñoz, N. ; Rubio, M. ; Herrada, M. A. ; Montanero, J. M.</creator><creatorcontrib>Cabezas, M. G. ; Rebollo-Muñoz, N. ; Rubio, M. ; Herrada, M. A. ; Montanero, J. M.</creatorcontrib><description>We analyse both numerically and experimentally the stability of the steady jetting tip streaming produced by focusing a liquid stream with another liquid current when they coflow through the orifice of an axisymmetric nozzle. We calculate the global eigenmodes characterizing the response of this configuration to small-amplitude perturbations. In this way, the critical conditions leading to the instability of the steady jetting tip streaming are determined. The unstable perturbations are classified according to their oscillatory character and to the region where they originate (convective and absolute instability). We derive and explain in terms of the velocity field a simple scaling law to predict the diameter of the emitted jet. The numerical stability limits are compared with experimental results, finding reasonable agreement. The experiments confirm the existence of the two instability mechanisms predicted by the global stability analysis.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2020.953</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Axisymmetric flow ; Collaboration ; Computational fluid dynamics ; Flow control ; Flow stability ; Instability ; JFM Papers ; Liquid flow ; Nozzles ; Numerical stability ; Orifices ; Perturbations ; Scaling ; Scaling laws ; Stability ; Stability analysis ; Streaming ; Surfactants ; Velocity distribution</subject><ispartof>Journal of fluid mechanics, 2021-02, Vol.909, Article A10</ispartof><rights>The Author(s), 2020. 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The unstable perturbations are classified according to their oscillatory character and to the region where they originate (convective and absolute instability). We derive and explain in terms of the velocity field a simple scaling law to predict the diameter of the emitted jet. The numerical stability limits are compared with experimental results, finding reasonable agreement. 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G.</au><au>Rebollo-Muñoz, N.</au><au>Rubio, M.</au><au>Herrada, M. A.</au><au>Montanero, J. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global stability analysis of axisymmetric liquid–liquid flow focusing</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>2021-02-25</date><risdate>2021</risdate><volume>909</volume><artnum>A10</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>We analyse both numerically and experimentally the stability of the steady jetting tip streaming produced by focusing a liquid stream with another liquid current when they coflow through the orifice of an axisymmetric nozzle. We calculate the global eigenmodes characterizing the response of this configuration to small-amplitude perturbations. In this way, the critical conditions leading to the instability of the steady jetting tip streaming are determined. The unstable perturbations are classified according to their oscillatory character and to the region where they originate (convective and absolute instability). We derive and explain in terms of the velocity field a simple scaling law to predict the diameter of the emitted jet. The numerical stability limits are compared with experimental results, finding reasonable agreement. The experiments confirm the existence of the two instability mechanisms predicted by the global stability analysis.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2020.953</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0002-9126-2254</orcidid><orcidid>https://orcid.org/0000-0002-2380-9545</orcidid><orcidid>https://orcid.org/0000-0003-0388-8001</orcidid><orcidid>https://orcid.org/0000-0002-3906-5931</orcidid><orcidid>https://orcid.org/0000-0002-4573-5647</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Axisymmetric flow Collaboration Computational fluid dynamics Flow control Flow stability Instability JFM Papers Liquid flow Nozzles Numerical stability Orifices Perturbations Scaling Scaling laws Stability Stability analysis Streaming Surfactants Velocity distribution |
| title | Global stability analysis of axisymmetric liquid–liquid flow focusing |
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