D2660 Fluid Mechanics
Hours: Tu 4:00-6:00 PM & Th 3:00-5:00 PM
Place: R517(Tu) & R406(Th), Physics and CMSC Building
Lecturer: Chi Yuan; Tel~3365-2200X717; E-mail~yuan@asiaa.sinica.edu.tw
Textbook: Landau & Lifshitz, "Fluid Mechanics", 2nd Edition, Pergamon Press
Homework: 3-4 sets of problems(~10%)
Exams: Mid-term on 4/16(~40%); Final on 6/20(~50%)
Introduction: Homework: 1 2 3 4 5 6
Syllabus
  • Basic Concepts
    Continuum hypothesis
    Body forces and surface forces
    Lagrangian formulation
    Eulerian formulation
    Boundary conditions
  • Ideal Fluid Flows
    General concept of ideal fluids
    Vortex theory
    Potential flows
    Irrotational flows due to a moving rigid body
    Two-dimensional potential flows
  • Viscous Fluid Flows
    Transport phenomena
    Some exact solutions
    Unsteady unidirection flows
    Stokes formula
    Oseen solution
  • Boundary Layers
    Prnadtl's boundary layer hypothesis
    Blasius solution
    Convergent flows between intersecting planes
    Ideas of singular perturbation
  • Hydrodynamic Instabilities
    Introduction
    Kelvin-Helmholtz instability
    Rayleigh-Taylor instability
    Taylor vortec flows
    Benard cells
    Stability of plane Poiseuille flows
  • Turbulence
    Reynolds stresses
    Classic theories - mixing length, momentum transfer, vorticity transfer
    Correlation theory of homogeneous isotropic turbulence
    Spectrum theory of isotropic turbulence
    Taylor's mechanism and Komogoroff spectrum
    Transition to turbulence - chaos theory
  • Water Waves
    Water waves in general
    Surface waves
    Group velocity
    A steady stream passing an obstacle
    Kelvin's ship waves
    Shallow water theory
    Korteweg-de Vries equation and solitary waves
    Stokes waves
  • Compressible Fluid Flows
    Sound waves
    General concepts of shock waves
    One-dimensional gas flows - Riemann invariant
    Viscous attenuation
    A strong explosion
    Some elementary principles of CFD