Finite-size effects on pattern selection in immiscible fluids subjected to horizontal vibrations in weightlessness

Salgado Sanchez, Pablo and Gaponenko, Y.A. and Porter, J. and Shevtsova, V (2019). Finite-size effects on pattern selection in immiscible fluids subjected to horizontal vibrations in weightlessness. "Physical Review E", v. 99 ; pp.. ISSN 2470-0045. https://doi.org/10.1103/PhysRevE.99.042803.

Description

Title: Finite-size effects on pattern selection in immiscible fluids subjected to horizontal vibrations in weightlessness
Author/s:
  • Salgado Sanchez, Pablo
  • Gaponenko, Y.A.
  • Porter, J.
  • Shevtsova, V
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 2019
ISSN: 2470-0045
Volume: 99
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A detailed numerical investigation of frozen wave pattern selection in finite rectangular containers under microgravity conditions is presented. The column growth cycle controlling mode transitions is described and the instability diagram showing selected wave number as function of the vibrational velocity is obtained. In contrast to the continuous monotonic dependence of pattern wave number on forcing predicted by linear inviscid theory in the limit of infinitely long containers, the pattern selection process in finite domains is characterized by solution branches that persist over discrete forcing intervals. We describe how properties of the selected frozen wave pattern, including the finite critical forcing value, depend on container length. In long containers, a transition from nearly symmetric to asymmetric columnar development is found at sufficiently high forcing values, with the loss of (approximate) reflection symmetry evident in the mean flow associated with the transient growth of the pattern. The effect of container height is considered separately, in the limit of both shallow and deep layers. Shallow layers suppress the development of long-wave perturbations leading to higher wave-number patterns whose growth may be associated with an asymmetric series of collisions between developing columns and container boundaries. In thick layers, lower pattern wave numbers are observed and, although the column growth is on average more regular, the final state is often asymmetric. Finally, we compare our results with the dependence on container aspect ratio Γ=L/2H predicted by inviscid theory. For Γ≳2, finite-size effects are reasonably weak and the numerically obtained thresholds are similar to but slightly higher than the theoretical values, most likely due to viscous effects. For Γ≲2, finite-size effects come to the fore and onset is significantly delayed.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainESP2015-70458-PUnspecifiedUnspecifiedControl de fluidos vibrados en microgravedad

More information

Item ID: 67020
DC Identifier: https://oa.upm.es/67020/
OAI Identifier: oai:oa.upm.es:67020
DOI: 10.1103/PhysRevE.99.042803
Official URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.042803
Deposited by: Memoria Investigacion
Deposited on: 03 Jun 2021 10:18
Last Modified: 03 Jun 2021 10:18
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