In:
Physics of Fluids, AIP Publishing, Vol. 34, No. 7 ( 2022-07-01)
Abstract:
The phase field approach is applied to numerically simulate the detachment of an isolated, wall-bound 2D pendant drop suspended in a fluid in a simple shear flow. The model has been previously employed to simulate several two-phase flow phenomena, assuming that the system consists of a regular, partially miscible mixture, with the drop and the continuous phase being in thermodynamic equilibrium with each other. In addition, it is assumed that the two phases are separated by an interfacial region having a non-zero characteristic thickness â, i.e., the interface is diffuse. In the creeping flow regime, the problem is described in terms of three non-dimensional numbers: the fluidity number Nα as the ratio between capillary and viscous fluxes, the Bond number NBo as the ratio between external and capillary forces, and the Peclet number NPe as a non-dimensional shear rate. We find that, at large fluidity numbers and for small droplets (i.e., for d̃drop=ddrop/â≤45), the onset of the drop detachment can be described in terms of a master curve, with the critical macroscopic Bond number NBo(M)=NBo·d̃drop2 decreasing monotonously with NPe·d̃drop1.5 for five drop sizes in the micrometer range.
Type of Medium:
Online Resource
ISSN:
1070-6631
,
1089-7666
Language:
English
Publisher:
AIP Publishing
Publication Date:
2022
detail.hit.zdb_id:
1472743-2
detail.hit.zdb_id:
241528-8
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