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Navier-Stokes Turbulence Theory and Analysis /

This updated/augmented second edition retains it class-tested content and pedagogy as a core text for graduate courses in advanced fluid mechanics and applied science. The new edition adds revised sections, clarification, problems, and chapter extensions including a rewritten section on Schauder bas...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Kollmann, Wolfgang (Awdur)
Awdur Corfforaethol: SpringerLink (Online service)
Fformat: Electronig eLyfr
Iaith:Saesneg
Cyhoeddwyd: Cham : Springer International Publishing : Imprint: Springer, 2024.
Rhifyn:2nd ed. 2024.
Pynciau:
Continuum mechanics.
Fluid mechanics.
Aerospace engineering.
Astronautics.
Soft condensed matter.
Continuum Mechanics.
Engineering Fluid Dynamics.
Aerospace Technology and Astronautics.
Soft and Granular Matter.
Mynediad Ar-lein:https://doi.org/10.1007/978-3-031-59578-3
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Tabl Cynhwysion:
  • Introduction
  • Navier-Stokes equations
  • Basic properties of turbulent flows
  • Flow domains and bases
  • Phase and test function spaces
  • Probability measure and characteristic functional
  • Functional differential equations
  • Characteristic functionals for incompressible turbulent flows
  • Fdes for the characteristic functionals
  • Solution of Hopf type equations in the spatial description
  • The role of the pressure
  • Properties and construction of Mappings
  • M(): Single scalar in homogeneous turbulence
  • M(N): Mappings for velocity-scalar and position-scalar Pdfs
  • Integral transforms and spectra
  • Intermittency
  • Equilibrium theory of Kolmogorov and Onsager
  • Homogeneous turbulence
  • Length and time scales
  • The structure of turbulent ows
  • Wall-bounded turbulent ows
  • The limit of in_nite Reynolds number for incompressible uids
  • Appendix A: Mathematical tools
  • Appendix B: Example for a measure on a ball in Hilbert space
  • Appendix C: Scalar and vector bases for periodic pipe ow
  • Modi_ed Jacobi polynomials Pa;b
  • n (r)
  • Orthonormalisation of the modi_ed polynomials Pa;b
  • n (r)
  • Test function space Np: Scalar _elds
  • (i) Bases for the test function space Np
  • Function spaces: Vector _elds
  • (i) Construction of a general vector basis
  • (ii) Construction of a solenoidal vector basis
  • Gram-Schmidt orthonormalisation
  • Appendix D: Green's function for periodic pipe ow
  • Leray version of the Navier-Stokes pdes
  • Appendix E: Semi-empirical treatment of simple wall-bounded ows
  • Appendix F: Solutions to problems
  • Bibliography.

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