1. Model of inertial spreading and imbibition of a liquid drop on a capillary plate
- Author
-
Michel Y. Louge and Shilpa Sahoo
- Subjects
Environmental Engineering ,business.industry ,Laplace number ,Capillary action ,Chemistry ,General Chemical Engineering ,Drop (liquid) ,Mechanics ,Contact patch ,Kinetic energy ,01 natural sciences ,Potential energy ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,Surface tension ,Optics ,0103 physical sciences ,Imbibition ,010306 general physics ,business ,Biotechnology - Abstract
We outline a low-order Lagrangian model for the inertial dynamics of spreading and imbibition of a spherical liquid cap on a plane featuring independent cylindrical capillaries without gravity. The analysis predicts the relative roles of radial and axial kinetic energy, reveals the critical Laplace number beyond which the drop oscillates, and attributes the exponent of the initial power-law for contact patch radius vs time to the form of capillary potential energy just after the liquid sphere touches the plate. This article is protected by copyright. All rights reserved.
- Published
- 2017
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