{"product_id":"fluid-mechanics-at-interfaces-2-case-studies-and-instabilities-hardback-9781786308177","title":"Fluid Mechanics at Interfaces 2; Case Studies and Instabilities (Hardback) 9781786308177","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFluid Mechanics at Interfaces 2\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eCase Studies and Instabilities\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRoger Prud'homme (Edited by), R Prudhomme (Author), Stephane Vincent (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781786308177, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 15 April 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e176 pages\u003cbr\u003e23.4 x 15.6 x 1.1 cm, 0.548 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eInterfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves. \u003ci\u003eFluid Mechanics at Interfaces 2\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eChapter 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.\u003c\/p\u003e \u003cp\u003eChapters 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.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface ix\u003cbr\u003eRoger PRUD’HOMME, Stéphane VINCENT, Christian CHAUVEAU and Mahouton Norbert HOUNKONNOU\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Turbulent Channel Flow to Re τ = 590 in Discrete Mechanics 1\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eJean-Paul CALTAGIRONE and Stéphane VINCENT\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Discrete mechanics formulation 4\u003c\/p\u003e \u003cp\u003e1.3 Turbulent flow in channel 6\u003c\/p\u003e \u003cp\u003e1.3.1 Analysis of a turbulent flow in a planar channel 6\u003c\/p\u003e \u003cp\u003e1.3.2 Model of the turbulence in discrete mechanics 12\u003c\/p\u003e \u003cp\u003e1.3.3 Application to a turbulent flow in a channel with Re τ =̷590 13\u003c\/p\u003e \u003cp\u003e1.4 Conclusion 24\u003c\/p\u003e \u003cp\u003e1.5 References 24\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Atomization in an Acceleration Field 27\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eRoger PRUD’HOMME\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 29\u003c\/p\u003e \u003cp\u003e2.1.1 Two classic instabilities 29\u003c\/p\u003e \u003cp\u003e2.1.2 Atomization 31\u003c\/p\u003e \u003cp\u003e2.2. Generation of droplets through vibrations normal to the liquid layer 32\u003c\/p\u003e \u003cp\u003e2.3 Rayleigh–Taylor instability at the crest of an axial wave 36\u003c\/p\u003e \u003cp\u003e2.3.1 Size distribution of the drops 39\u003c\/p\u003e \u003cp\u003e2.4 Recent work 40\u003c\/p\u003e \u003cp\u003e2.5 Conclusion 40\u003c\/p\u003e \u003cp\u003e2.6 References 41\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Numerical Simulation of Pipes with an Abrupt Contraction Using OpenFOAM 45\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eTarik CHAKKOUR\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 45\u003c\/p\u003e \u003cp\u003e3.2 Modeling an abrupt contraction in a pipe 46\u003c\/p\u003e \u003cp\u003e3.2.1 Euler equations 46\u003c\/p\u003e \u003cp\u003e3.2.2 Stability of the solver 48\u003c\/p\u003e \u003cp\u003e3.2.3 Introducing the model 49\u003c\/p\u003e \u003cp\u003e3.2.4 Boundary and initial conditions 51\u003c\/p\u003e \u003cp\u003e3.3 Numerical results 54\u003c\/p\u003e \u003cp\u003e3.3.1 Results with the boundary and initial conditions I 55\u003c\/p\u003e \u003cp\u003e3.3.2 Results with the boundary and initial conditions II 67\u003c\/p\u003e \u003cp\u003e3.4 Conclusion and future prospects 73\u003c\/p\u003e \u003cp\u003e3.5 References 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Vaporization of an Equivalent Pastille 77\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eRoger PRUD’HOMME and Kwassi ANANI\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 78\u003c\/p\u003e \u003cp\u003e4.2 Equations for the problem 81\u003c\/p\u003e \u003cp\u003e4.3 Linear analysis of the liquid phase 82\u003c\/p\u003e \u003cp\u003e4.3.1 The function G(u, Pe L) 82\u003c\/p\u003e \u003cp\u003e4.3.2 Solution 83\u003c\/p\u003e \u003cp\u003e4.3.3 The depth to which heat penetrates 84\u003c\/p\u003e \u003cp\u003e4.4 Some results 85\u003c\/p\u003e \u003cp\u003e4.4.1 Thermal perturbations 85\u003c\/p\u003e \u003cp\u003e4.4.2 Response factor 87\u003c\/p\u003e \u003cp\u003e4.5 Conclusion 91\u003c\/p\u003e \u003cp\u003e4.6 References 92\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Thermal Field of a Continuously-Fed Drop Subjected to HF Perturbations 95\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eRoger PRUD’HOMME, Kwassi ANANI and Mahouton Norbert HOUNKONNOU\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.1 Drops in a liquid-propellant rocket engine 96\u003c\/p\u003e \u003cp\u003e5.2 A continuously fed droplet 98\u003c\/p\u003e \u003cp\u003e5.3 Equations of the problem 99\u003c\/p\u003e \u003cp\u003e5.3.1 Equations for the gaseous phase 99\u003c\/p\u003e \u003cp\u003e5.3.2 Equations for the liquid phase 101\u003c\/p\u003e \u003cp\u003e5.4 Linearized equations 102\u003c\/p\u003e \u003cp\u003e5.5 Linearized equations for small harmonic perturbations 103\u003c\/p\u003e \u003cp\u003e5.6 Thermal field in the drop when neglecting internal convection 103\u003c\/p\u003e \u003cp\u003e5.7 Conclusion 107\u003c\/p\u003e \u003cp\u003e5.8 Appendix 1: Coefficients that come into play in linearized equations 107\u003c\/p\u003e \u003cp\u003e5.9 Appendix 2: Solving the thermal equation 108\u003c\/p\u003e \u003cp\u003e5.10 Appendix 3: The case of the equivalent pastille 109\u003c\/p\u003e \u003cp\u003e5.11 Appendix 4: 2D representation for the spherical drop 111\u003c\/p\u003e \u003cp\u003e5.12 References 113\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Study of the Three-Dimensional and Non-Stationary Flow in a Rotor of the Savonius Wind Turbine 115\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eFrancis RAVELOSON, Delphin TOMBORAVO and Roger VONY\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 115\u003c\/p\u003e \u003cp\u003e6.2 Mathematical modeling of the problem 116\u003c\/p\u003e \u003cp\u003e6.2.1 Presentation of a physical model 116\u003c\/p\u003e \u003cp\u003e6.2.2 Simplifying hypotheses 119\u003c\/p\u003e \u003cp\u003e6.3 Numerical resolution 120\u003c\/p\u003e \u003cp\u003e6.3.1 Presentation of meshes 120\u003c\/p\u003e \u003cp\u003e6.3.2 Spatial discretization 123\u003c\/p\u003e \u003cp\u003e6.3.3 Temporal discretization 123\u003c\/p\u003e \u003cp\u003e6.3.4 Stability condition for the scheme 124\u003c\/p\u003e \u003cp\u003e6.3.5 Initial conditions 125\u003c\/p\u003e \u003cp\u003e6.3.6 Boundary conditions 125\u003c\/p\u003e \u003cp\u003e6.4 Validation of the results 126\u003c\/p\u003e \u003cp\u003e6.5 Results and discussion 127\u003c\/p\u003e \u003cp\u003e6.5.1 Influence of the advance parameter 127\u003c\/p\u003e \u003cp\u003e6.5.2 Influence of the angular position of the blades 134\u003c\/p\u003e \u003cp\u003e6.6 Conclusion 144\u003c\/p\u003e \u003cp\u003e6.7 Acknowledgments 144\u003c\/p\u003e \u003cp\u003e6.8 References 144\u003c\/p\u003e \u003cp\u003eList of Authors 147\u003c\/p\u003e \u003cp\u003eIndex 149\u003c\/p\u003e \u003cp\u003eSummary of Volume 1 151\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52446784258328,"sku":"9781786308177","price":99.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781786308177.jpg?v=1785113497","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fluid-mechanics-at-interfaces-2-case-studies-and-instabilities-hardback-9781786308177","provider":"Freshly Printed Books","version":"1.0","type":"link"}