Fluid Mechanics

   Instructor: Prof. Gi-Ra Yi (Rm.81705, Tel: 031-290-7289, yigira@skku.edu)
   Textbook: An Introduction to Fluid Mechanics (Cambridge University Press, 2013)
    1. Introduction
      1. Basic Concepts
      2. Surface Tension
      3. Fluid statics
    2. Vector and Tensor
    3. Conservation Equation 
      1. Conservation of Mass
      2. Kinematics
      3. Stress tensor
      4. Conservation of linear momentum
      5. Conservation of angular momentum
      6. Newtonian fluids: Navier-Stokes equation
      7. Non-newtonian Fluids
      8. Boundary conditions
    4. Exact solution of Navier-Stokes Equation
      1. Steady unidirectional flows (Couette flow, Poiseuille flow)
      2. Multidirectional flow (Rotating cylinder, Couette viscometer)
      3. Unsteady unidirectional flow
    5. Dimensional Analysis
      1. Dynamic similarity
      2. Buckingham's Pi-theorem
      3. Dimensionless numbers
    6. Lubrication Theory
      1. Nearly parallel flow
      2. Applicaitons
    7. Potential Flow
      1. Flow lines
      2. Stream functions
      3. Velocity potential function
      4. Bernoulli equation
    8. Boundary Layer Theory
      1. Laminar flow at high Reynolds number (Blasius Equation)
      2. Boundary layer separation
      3. Karman-Pohlhousen Method
    9. Turbulent Flow
    10. Macroscopic balances
      1. Macroscopic material balance
      2. Macroscopic momentum balance
      3. Macroscopic mechanical energy balance