Squeeze-film flow between a curved impermeable bearing and a flat porous bed

Knox, D. J. and Duffy, B. R. and McKee, S. and Wilson, S. K. (2017) Squeeze-film flow between a curved impermeable bearing and a flat porous bed. Physics of Fluids, 29 (2). 023101. ISSN 1070-6631 (https://doi.org/10.1063/1.4974521)

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Abstract

Axisymmetric squeeze-film flow in the thin gap between a stationary flat thin porous bed and a curved impermeable bearing moving under a prescribed constant load is analysed. The unsteady Reynolds equation is formulated and solved for the fluid pressure. This solution is used to obtain the time for the minimum fluid layer thickness to reduce to a given value, and, in particular, the finite time for the bearing and the bed to come into contact. The effect of varying the shape of the bearing and the permeability of the layer is investigated, and, in particular, it is found that both the contact time and the fluid pressure behave qualitatively differently for beds with small and large permeabilities. In addition, the paths of fluid particles initially situated in both the fluid layer and the porous bed are calculated. In particular, it is shown that, unlike in the case of a flat bearing, for a curved bearing there are fluid particles, initially situated in the fluid layer, that flow from the fluid layer into the porous bed and then re-emerge into the fluid layer, and the region in which these fluid particles are initially situated is determined.

ORCID iDs

Knox, D. J., Duffy, B. R. ORCID logoORCID: https://orcid.org/0000-0003-2687-7938, McKee, S. and Wilson, S. K. ORCID logoORCID: https://orcid.org/0000-0001-7841-9643;
  • Item type:Article
    ID code:59331
    Dates:
    Date
    Event
    13 February 2017
    Published
    6 January 2017
    Accepted
    Notes:The following article has been accepted by Physics of Fluids. After it is published, it will be found at http://aip.scitation.org/doi/abs/10.1063/1.4974521.
    Subjects:Science > Physics
    Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:09 Jan 2017 15:13
    Last modified:11 Nov 2024 11:35
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/59331
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