A kinetic theory description of liquid menisci at the microscale

Paolo Barbante; Aldo Frezzotti; Livio Gibelli

doi:10.3934/krm.2015.8.235

Article Contents

2015, Volume 8, Issue 2: 235-254. Doi: 10.3934/krm.2015.8.235

This issue Previous Article Numerical methods for a class of generalized nonlinear Schrödinger equations Next Article A Hamilton-Jacobi approach for front propagation in kinetic equations

A kinetic theory description of liquid menisci at the microscale

1.
Politecnico di Milano, MOX, Dipartimento di Matematica, Piazza Leonardo da Vinci, 32, 20133 Milan
2.
Politecnico di Milano, Dipartimento di Scienze e Tecnologie Aerospaziali, Via La Masa 34, 20156 Milan

Received: June 30, 2014

Revised: November 30, 2014

Published: May 2015

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Abstract

A kinetic model for the study of capillary flows in devices with microscale geometry is presented. The model is based on the Enskog-Vlasov kinetic equation and provides a reasonable description of both fluid-fluid and fluid-wall interactions. Numerical solutions are obtained by an extension of the classical Direct Simulation Monte Carlo (DSMC) to dense fluids. The equilibrium properties of liquid menisci between two hydrophilic walls are investigated and the validity of the Laplace-Kelvin equation at the microscale is assessed. The dynamical process which leads to the meniscus breakage is clarified.

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Mathematics Subject Classification: Primary: 82C40, 82C26; Secondary: 82C80.

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