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Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
Creeping flows where the viscous effects are dominant, are considered. The Moffatt corner eddies are described. The flow around a sphere is detailed and leads to the Stokes formula. Stokes eigenmodes are analyzed and a three-dimensional Stokes soluti
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https://doi.org/10.1007/978-3-031-04683-4_5
https://doi.org/10.1007/978-3-031-04683-4_5
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
Chapter ten collects the detailed solutions of the exercises proposed at the end of each chapter.
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https://explore.openaire.eu/search/publication?articleId=doi_________::8d15dafa7975661eae2a593533d9d173
https://doi.org/10.1007/978-3-031-04683-4_10
https://doi.org/10.1007/978-3-031-04683-4_10
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
The Reynolds decomposition and statistical averaging of velocity and pressure generate the Reynolds averaged Navier–Stokes (RANS) equations. The closure problem is solved by the introduction of a turbulence constitutive equation. Several linear tur
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https://doi.org/10.1007/978-3-031-04683-4_9
https://doi.org/10.1007/978-3-031-04683-4_9
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
This chapter treats the theory of irrotational flows of perfect fluids by the use of complex variables. The theory is based on a complex velocity and the related concepts like circulation, flow rate, complex potential. Several simple examples are giv
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https://doi.org/10.1007/978-3-031-04683-4_6
https://doi.org/10.1007/978-3-031-04683-4_6
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
The first instability mechanism is applied to the plane parallel channel flow. We establish the well known Orr-Sommerfeld equation which is solved by the Chebyshev Tau method. The associated Fortran programme is given in the appendix. Then the stabil
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https://doi.org/10.1007/978-3-031-04683-4_8
https://doi.org/10.1007/978-3-031-04683-4_8
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
The concepts of vorticity and circulation are introduced. The three-dimensional governing equation for the vorticity is obtained. The generation of vorticity on the solid walls is analyzed in detail. For irrotational flows, the modeling rests upon Be
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https://doi.org/10.1007/978-3-031-04683-4_4
https://doi.org/10.1007/978-3-031-04683-4_4
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
This chapter, presents the basic concepts of fluid mechanics such as velocity, acceleration, material derivative and the governing equations obtained from the conservation laws of mass, momentum, angular momentum and energy. The introduction of the c
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https://doi.org/10.1007/978-3-031-04683-4_1
https://doi.org/10.1007/978-3-031-04683-4_1
Autor:
Michel O. Deville
Publikováno v:
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827
This chapter covers extensively various exact solutions of the Navier–Stokes equations for steady-state and transient cases. Of particular interest are the pulsating flows in a channel and in a circular pipe as these solutions are relevant for bloo
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https://doi.org/10.1007/978-3-031-04683-4_3
https://doi.org/10.1007/978-3-031-04683-4_3
Autor:
Michel O. Deville, Vincent Couaillier, Jean-Luc Estivalezes, Vincent Gleize, Thiên HiêpLê, Marc Terracol, Stéphane Vincent
This book presents a snapshot of the state-of-art in the field of turbulence modeling, with an emphasis on numerical methods. Topics include direct numerical simulations, large eddy simulations, compressible turbulence, coherent structures, two-phase
Autor:
Michel O. Deville, Jean-Luc Estivalezes, Vincent Gleize, Thien-Hiep Lê, Marc Terracol, Stéphane Vincent
The book presents a snapshot of the state-of-art in the field of turbulence modeling and covers the latest developments concerning direct numerical simulations, large eddy simulations, compressible turbulence, coherent structures, two-phase flow simu