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Axisymmetric wetting of a liquid droplet on a stretched elastic membrane
Wetting of a liquid droplet on another liquid substrate is governed by the well-known Neumann equations. The present work aims to develop an explicit...
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Droplet impact onto a porous substrate: a Wagner theory for early-stage spreading
An analytical model for droplet impact onto a porous substrate is presented, based on Wagner theory. An idealised substrate boundary condition is...
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Equilibrium and Frozen Speeds of Sound in a Multifractional Polydispersed Gas-Vapour-Droplet Mixture
AbstractThis article is devoted to the study of the acoustic wave propagation in a multifraction gas-vapour-droplet mixture with polydispersed...
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A Parallel Adaptive Finite Element Method for Modeling a Deformable Droplet Travelling in Air
Violent respiratory events such as coughing and sneezing can contribute to the transmission of infectious diseases from host to host. The dynamics of...
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Modelling of droplet impacts on dry and wet surfaces using depth-averaged form
An efficient time-adaptive multigrid algorithm is used to solve a range of normal and oblique droplet impacts on dry surfaces and liquid films using...
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Threshold of global existence for a Gross–Pitaevskii system associated with a dipolar Bose–Einstein condensate in 2D
We study a Gross–Pitaevskii (GP) system associated with a Bose–Einstein condensate (BEC). The two-component system is highly related to fingering...
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Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier–Stokes flow in an axisymmetric setting. The...
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Simulation of Substrate Cooling during Evaporation of Pure Vapor from the Surface of a Thin Liquid Film and Droplets
AbstractA numerical study of the process of cooling a substrate under the conditions of evaporation of pure vapor from the surface of a liquid film...
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The effect of electrical double layers on evaporation of sessile droplets
We develop a lubrication-type model of an axisymmetric evaporating sessile liquid droplet in contact with pure vapor. The liquid is a symmetric...
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A Multiscale Method for Two-Component, Two-Phase Flow with a Neural Network Surrogate
Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface. We consider...
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Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
For the variable-density/viscosity Cahn-Hilliard phase-field model of the binary-phase incompressible fluid flow system, the development of...
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Modeling the Gas Liquid Interface of Falling Film Reactors in Fully Developed Flow Regime
In falling film reactors, the time scale of reaction is typically faster than the time scale of the mass transfer; hence the overall efficiency of...
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Direct numerical simulation of a disintegrating liquid rivulet at a trailing edge
Water ingestion in gas turbines is used in industrial applications to improve the thermal efficiency by cooling the air before and throughout...
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Disease Spread Control in Cruise Ships: Monitoring, Simulation, and Decision Making
Cruise ships transfer diverse populations between different countries, offering unique travel experiences to thousands of people worldwide. The...
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An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change
An improved algorithm for computing multiphase flows is presented in which the multimaterial Moment-of-Fluid (MOF) algorithm for multiphase flows,...
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Modeling the Mechanisms by Which Coexisting Biomolecular RNA–Protein Condensates Form
Liquid–liquid phase separation is an emerging mechanism for intracellular organization. This work presents a mathematical model to examine molecular...
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A stochastic closure for two-moment bulk microphysics of warm clouds: part I, derivations
We propose a mathematical methodology to two-moment parameterization of bulk warm cloud microphysics based on a stochastic representation of the...
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An Extended Pseudo Potential Multiphase Lattice Boltzmann Model with Variable Viscosity Ratio
A new multiphase lattice Boltzmann method (LBM) scheme is proposed through which the viscosity of the two phases can be adjusted based on a...
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An Efficient hp-Adaptive Strategy for a Level-Set Ghost-Fluid Method
We present an hp-adaptive discretization for a sharp interface model with a level-set ghost-fluid method to simulate compressible multiphase flows....
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Torus-like solutions for the Landau-de Gennes model. Part III: torus vs split minimizers
We study the behaviour of global minimizers of a continuum Landau–de Gennes energy functional for nematic liquid crystals, in three-dimensional...