Fluid Mechanics at Interfaces 1

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Interfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves.<i> Fluid Mechanics at Interfaces 1</i> focuses on the science of interfaces, in particular, using various scientific methods of analysis relating to space, speed and time. Our investigation takes us from the microscopic or small scale (starting with molecular and nanoscopic scales) to the macroscopic (including meso and interstellar scales), and also explores the laws of interfaces (classical mechanics, quantum mechanics and relativistic mechanics).<br /><br />Chapter 1 examines the questions raised by modeling interfaces in the presence of one or more fluid phases. Chapter 2 discusses the action of turbulence in liquid–vapor flows that contain both small, dispersed bubbles as well as large bubbles, with heat exchanges at the interfaces. In addition, a new model is presented, using large eddy simulation (LES). Chapter 3 studies an original method for calculating the drag force and thermal transfers in flows around networks of spherical particles, while Chapter 4 focuses on the relationships between interfaces and critical fluids.<br /><br />Chapter 5 examines shearing, which causes anomalies in the Brownian motion of particles in strongly fluctuating near-critical mixtures, and Chapter 6 introduces basic concepts related to combustion interfaces, raising the question of the combustion of solids, before ending with a brief presentation of the Rankine–Hugoniot theory and a historical overview of the research carried out in the field of combustion.

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Details of the domain subdivision for Aslam extension (Aslam 2004) Figure 3.4. Details of Taylor interpolation points for drag force/heat flux comp...Figure 3.5. Details of the Aslam extension validation example Figure 3.6. Contour (with a 0.2 increment) of the initial conditions of g for As...Figure 3.7. Contour (with a 0.2 increment) of the function g extrapolated using ...Figure 3.8. Contour (with a 0.2 increment) of the function g extrapolated using ...Figure 3.9. Contour (with a 0.2 increment) of the function g extrapolated using ...Figure 3.10. Contour (with a 0.2 increment) of the function g extrapolated using...Figure 3.11. Convergence orders in two dimensions for Aslam extension from: (a) ...Figure 3.12. Convergence orders in three dimensions for Aslam extension from: (a...Figure 3.13. Streamlines and temperature field for a uniform flow past a sphere ...Figure 3.14. Drag force relative error (%) for the uniform flow past a sphere in...Figure 3.15. Pressure coefficient for a uniform flow past an isolated sphere at ...Figure 3.16. Streamlines and temperature field for a uniform flow past a sphere ...Figure 3.17. Drag coefficient for uniform flow past sphere at different Reynolds...Figure 3.18. Local Nusselt coefficient for a uniform flow past an isolated spher...Figure 3.19. Local Nusselt number relative error compared to Massol’s result (Ma...Figure 3.20. Nusselt coefficient for the uniform flow past a hot sphere at vario...Figure 3.21. Streamlines and temperature field for a steady flow along the x-axi...Figure 3.22. Drag force for a uniform flow past an FCC, normalized by Schiller a...Figure 3.23. Global Nusselt coefficient for a uniform flow past an FCC, normaliz...Figure 3.24. FCC/FCC bidisperse arrangement of spheres for Re = 50 and αd = 0.3 ...Figure 3.25. Non-dimensional drag force F for a uniform flow past an FCC/FCC pac...

4 Chapter 4Figure 4.1. (a) The two phases (liquid and gas) of CO2 are clearly seen (meniscu...Figure 4.2. State diagram of a pure body, S: solid state, L: liquid state, G: ga...Figure 4.3. Definition of the standard state: view of isobars z(x) for y = p/pc ...Figure 4.4. Schematic representation of the piston effect mechanism (the dark le...Figure 4.5. Evolution of a thermal boundary layer around a heating thermistor (C...Figure 4.6. Temperature field at t = 8.8 s with a temperature difference between...Figure 4.7. Square of the diameter of the droplet as a function of reduced time ...Figure 4.8. A thermal drop. The cold drop at -7°C falling into the same liquid, ...Figure 4.9. Temperature–pressure diagram of a pure body; T: triple point, C: cri...Figure 4.10. Heating and deformation of a dense pocket over its life span. The r...Figure 4.11. Overheating observed during a thermal quenching of 0.1°C in an SF6 ...Figure 4.12. The heat bubble stretching over a heating wall, under the action of...Figure 4.13. Deformation of the liquid–vapor interface under the action of the r...

5 Chapter 5Figure 5.1. Schematics of a symmetric fluctuation (dotted) deformed by shear flo...Figure 5.2. Suppression of viscosity enhancement (colored zones) due to the shea...Figure 5.3. Temperature dependence of the particle self-diffusion constant D (lo...Figure 5.4. Light scattering arrangement. | incident light wave vector; |: scatt...

6 Chapter 6Figure 6.1. Comparison of a flame a) under Earth’s gravity and b) in zero gravit...Figure 6.2. The candle flame, a complex process including a diffusion flame. The...Figure 6.3. a) Shapes of the Burke–Schumann diffusion flame for coaxial cylinder...Figure 6.4. Kelvin–Helmholtz double instability downstream of a running O2–H2 in...Figure 6.5. Visualization of a turbulent jet produced by laser-induced fluoresce...Figure 6.6. Simplified representation of the Peters diagram (Peters 2000) in the...Figure 6.7. a) Application of the Rankine–Hugoniot theory (see Appendix A, secti...Figure 6.8. Two scales for the same problem. a) The Rankine–Hugoniot configurati...Figure 6.9. Evolution of the reduced temperature and concentration in a deflagra...Figure 6.10. Effect of turbulence on a thin, planar premixed flame: the Damköhle...Figure 6.11. Combustion of plates through experimental simulation devices: a) ev...Figure 6.12. a) The configuration of the Emmons problem and b) curve (-f(0)) as ...Figure 6.13. Using thermite for soldering rails. The temperatures attained durin...Figure 6.14. a) Schematic of a solid propellant rocket (source: https://fr.wikip...Figure 6.15. Schema for the combustion of an aluminum particle in a propellant e...Figure 6.16. Propagation of a discrete combustion wave in multilayer spin mode (...Figure 6.17. Spray combustion: a) individual drop combusting with a spherical di...Figure 6.18. Traces of the droplet paths illustrating the continuous cascading f...Figure 6.19. Control volume (V), the normal n is at boundary(V) Figure 6.20. Discontinuity interface. The normal N to the discontinuity is orien...Figure 6.21. Visualizations of shocks. a) Normal shock in the divergent part of ...Figure 6.22. a) Diagram of a Laval nozzle with a shock in the divergent part. b)...Figure 6.23. Motion on either side of the piston with uniform velocity VP. The t...Figure 6.24. The Hugoniot adiabatic in the planes a) ϑ , p and b) | s. The Mach n...Figure 6.25. a) The flow rate line (in both cases) M1 = u1/c1 denoting the Mach ...Figure 6.26. Rankine–Hugoniot configuration: representation of the steady motion...

Guide

1 Cover

2 Table of Contents

3 Title Page

4 Copyright First published 2022 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc. Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address: ISTE Ltd 27-37 St George’s Road London SW19 4EU UK www.iste.co.uk John Wiley & Sons, Inc. 111 River Street Hoboken, NJ 07030 USA www.wiley.com © ISTE Ltd 2022 The rights of Roger Prud’homme and Stéphane Vincent to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988. Library of Congress Control Number: 2021949304 British Library Cataloguing-in-Publication Data A CIP record for this book is available from the British Library ISBN 978-1-78630-816-0

5 Preface

6 Begin Reading

7 List of Authors

8 Index

9 Summary of Volume 2

10 End User License Agreement

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