Gravity effect on the axisymmetric drop spreading

M. V. Bartashevich, Vladimir V. Kuznetsov, Oleg A. Kabov

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The flattening (spreading) of the axisymmetrical drop on a plane horizontal surface under action of gravity force at zero tangential force (no shear at the gas-liquid interface) is investigated analytically and numerically. We determine the exact profile of compressed drop assuming the condition of drop volume conservation. 2D time dependant numerical model, based on a finite difference method, has been developed to describe the hydrodynamics inside the drop. The energy and Navier-Stokes equations are solved within the drop's analytical profile. Effects of surface tension and thermocapillarity are taken into account. The effect of gravity has been studied to define main features of the drop dynamics. In calculations vector of gravitational acceleration is oriented perpendicularly to the surface, the Bond number is changed in the range from Bo = 0 to Bo = 151.6. Our results show that the gravity has a significant effect on the drop spreading.

Original languageEnglish
Pages (from-to)107-114
Number of pages8
JournalMicrogravity Science and Technology
Volume22
Issue number1
DOIs
Publication statusPublished - 1 Feb 2010

Fingerprint

Gravity
Gravitation
gravitation
Bond number
flattening
profiles
Navier-Stokes equation
conservation
interfacial tension
hydrodynamics
Surface Tension
Finite difference method
shear
Navier Stokes equations
Difference Method
Surface tension
Conservation
Numerical models
Hydrodynamics
Finite Difference

Keywords

  • Drop spreading
  • Microgravity
  • Modeling
  • Thermocapillarity

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Gravity effect on the axisymmetric drop spreading. / Bartashevich, M. V.; Kuznetsov, Vladimir V.; Kabov, Oleg A.

In: Microgravity Science and Technology, Vol. 22, No. 1, 01.02.2010, p. 107-114.

Research output: Contribution to journalArticle

Bartashevich, M. V. ; Kuznetsov, Vladimir V. ; Kabov, Oleg A. / Gravity effect on the axisymmetric drop spreading. In: Microgravity Science and Technology. 2010 ; Vol. 22, No. 1. pp. 107-114.
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