Navier-Stokes Turbulence Theory and Analysis /

• Κύριος συγγραφέας: Kollmann, Wolfgang (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Θέματα: Fluids.; Fluid mechanics.; Aerospace engineering.; Astronautics.; Amorphous substances.; Complex fluids.; Fluid- and Aerodynamics.; Engineering Fluid Dynamics.; Aerospace Technology and Astronautics.; Soft and Granular Matter, Complex Fluids and Microfluidics.

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. H...

Πίνακας περιεχομένων:

• 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.