rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Navier-Stokes Turbulence
    sub title: Theory and Analysis
  name:
    name part: Kollmann, Wolfgang.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XL, 725 p. 138 illus., 90 illus. in color. online resource.
  abstract: The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition. Outlines fundamental difficulties and presents several approaches for their analysis and solution; Emphasizes mathematical treatment of turbulent flows and methods for their computation; Reinforces concepts presented with problems to illustrate the theory and to introduce particular examples of turbulent flows such as periodic pipe flow; Includes several versions of the Hopf equation derived in spatial/Eulerian and material/Lagrangean description.
  table of contents: 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.
  note: by Wolfgang Kollmann.
  subject:
    topic: Fluids
  subject:
    topic: Fluid mechanics
  subject:
    topic: Aerospace engineering
  subject:
    topic: Astronautics
  subject:
    topic: Amorphous substances
  subject:
    topic: Complex fluids
  subject:
    topic: Fluid- and Aerodynamics
  subject:
    topic: Engineering Fluid Dynamics
  subject:
    topic: Fluid- and Aerodynamics
  subject:
    topic: Aerospace Technology and Astronautics
  subject:
    topic: Soft and Granular Matter, Complex Fluids and Microfluidics
  classification: QC138-168.86
  classification: QA930
  classification: 532
  classification: 533.62
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783030318697
  identifier: https://doi.org/10.1007/978-3-030-31869-7
  record info:
    record creation date: 191121
    record change date: 20191121212036.0
    record identifier: 978-3-030-31869-7