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Inertial impedance of coalescence during collision of liquid drops

Published online by Cambridge University Press:  01 August 2019

Krishnaraj Sambath ,
Vishrut Garg Open the ORCID record for Vishrut Garg [Opens in a new window] ,
Sumeet S. Thete ,
Hariprasad J. Subramani  and
Osman A. Basaran Open the ORCID record for Osman A. Basaran [Opens in a new window]
Krishnaraj Sambath
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA
Vishrut Garg
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA
Sumeet S. Thete
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA
Hariprasad J. Subramani
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA
Osman A. Basaran*
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA
*
†Email address for correspondence: [email protected]
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Abstract

The fluid dynamics of the collision and coalescence of liquid drops has intrigued scientists and engineers for more than a century owing to its ubiquitousness in nature, e.g. raindrop coalescence, and industrial applications, e.g. breaking of emulsions in the oil and gas industry. The complexity of the underlying dynamics, which includes occurrence of hydrodynamic singularities, has required study of the problem at different scales – macroscopic, mesoscopic and molecular – using stochastic and deterministic methods. In this work, a multi-scale, deterministic method is adopted to simulate the approach, collision, and eventual coalescence of two drops where the drops as well as the ambient fluid are incompressible, Newtonian fluids. The free boundary problem governing the dynamics consists of the Navier–Stokes system and associated initial and boundary conditions that have been augmented to account for the effects of disjoining pressure as the separation between the drops becomes of the order of a few hundred nanometres. This free boundary problem is solved by a Galerkin finite element-based algorithm. The interplay of inertial, viscous, capillary and van der Waals forces on the coalescence dynamics is investigated. It is shown that, in certain situations, because of inertia two drops that are driven together can first bounce before ultimately coalescing. This bounce delays coalescence and can result in the computed value of the film drainage time departing significantly from that predicted from existing scaling theories.

JFM classification

Drops and Bubbles: Breakup/coalescence Drops and Bubbles: Drops Complex Fluids: Emulsions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 876 , 10 October 2019 , pp. 449 - 480
Copyright
© 2019 Cambridge University Press 

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Footnotes

‡

Present address: Chevron Corporation, Houston, TX 77002, USA.

§

Present address: Air Products and Chemicals, Inc., Allentown, Pennsylvania 18195, USA.

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