Fluid Mechanics at Interfaces 2

Case Studies and Instabilities

Fluid Mechanics at Interfaces 2

Edited by

Roger Prud’homme, CNRS, France
Stéphane Vincent, Gustave Eiffel University, France

ISBN : 9781786308177

Publication Date : April 2022

Hardcover 170 pp

165.00 USD



Interfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves. Fluid Mechanics at Interfaces 2 examines cases that involve one-dimensional or bi-dimensional manifolds, not only in gaseous and liquid physical states but also in subcritical fluids and in single- and multi-phase systems that may be pure or mixed.

Chapter 1 addresses certain aspects of turbulence in discrete mechanics, briefly describing the physical model associated with discrete primal and dual geometric topologies before focusing on channel flow simulations at turbulence-inducing Reynolds numbers. Chapter 2 centers on atomization in an accelerating domain. In one case, an initial Kelvin–Helmholtz instability generates an acceleration field, in turn creating a Rayleigh–Taylor instability which ultimately determines the size of the droplets formed. Chapter 3 explores numerical studies of pipes with sudden contraction using OpenFOAM, and focuses on modeling that will be useful for engines and automobiles. Chapters 4 and 5 study the evaporation of droplets that are subject to high-frequency perturbations, a possible cause of instabilities in injection engines. The Heidmann model, which replaces the droplets in motion in a combustion chamber with a single continuously-fed droplet, is made more complex by considering the finite conduction heat transfer phenomenon. Finally, Chapter 6 is devoted to a study of the rotor blade surface of a Savonius wind turbine, considering both a non-stationary and a three-dimensional flow.


1. Turbulent Channel Flow to Re? = 590 in Discrete Mechanics, Jean-Paul Caltagirone and Stéphane Vincent.
2. Atomization in an Acceleration Field, Roger Prud’Homme.
3. Numerical Simulation of Pipes with an Abrupt Contraction Using Open FOAM, Tarik Chakkour.
4. Vaporization of an Equivalent Pastille, Roger Prud’Homme and Kwassi Anani.
5. Thermal Field of a Continuously-Fed Drop Subjected to HF Perturbations, Roger Prud’Homme, Kwassi Anani and Mahouton Norbert Hoounkonnou.
6. Study of the Three-Dimensional and Non-Stationary Flow in a Rotor of the Savonius Wind Turbine, Francis Raveloson, Delphin Tomboravo and Roger Vony.

About the authors

Roger Prud’homme is the Emeritus Research Director at CNRS, France. His most recent research topics have included flames, two-phase flows and the modeling of fluid interfaces.

Stéphane Vincent is Professor at the Gustave Eiffel University, France. He leads the Heat and Mass Transfer team of the MSME laboratory. His research focuses on models and numerical methods for multiphase flows.

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