˙Preliminary Concepts : Definition of Fluid, The Continuum Model, Basic Laws, Methods of Description, The Material Derivate, Pathlines, Streaklines, Streamlines, The Motion of a Fluid Element-Translation, Rotation, and Rate of Deformation
˙The Equations of Fluid Motion : The Reynolds Transport Theorem, Conservation of Mass-Continuity Equation, Stream Functions, Momentum Equation, Constitutive Equations, Navier-Stokes Equations, Energy equation, Vorticity Dynamics, Scale Analysis
˙Exact Solutions for Viscous Flow : Steady Parallel Flows, Unsteady Parallel Flows, Flow Over a Porous Wall, Stagnation Flows, Flow Near An Infinite Rotating Disk, Jeffery-Hamel Flows~Flow in convergent and divergent channels
˙Low Reynolds Number Flows : Flow Past a Sphere, Singular Perturbation, Small Effects of Inertia on Stokes’ Flow Over a Sphere, Flow Past a Circular Cylinder, Lubrication Theory
˙Boundary-Layer Flows : Boundary-Layer Thickness, The Boundary-Layer Equations, Laminar Boundary Layer Along a Flat Plate-Blasius Solution, Falkner-Skan Flows, General Remarks on Boundary-Layer Separation, Falkner-Skan Flows, General Remarks on Boundary-Layer Separation, The Two-Dimensional Jet, Far Wake of Two-Dimensional Nonlifting Bodies, Shear Layers Between Two Parallel Streams, Momentum Integral Equation and Its Applications, Series Solutions for an Arbitrary Shaped Two-Dimensional Body, (Perturbation Method with Higher Order Approximation, The Triple-Deck Structure, Axisymmetric Boundary Layers, Unsteady Boundary Layers)
˙[Optional] Introduction to Hydrodynamic Stability : Introduction, Small Disturbances and Linearized Disturbance equations, Squire’s Theorem, Orr-Sommerfeld Equation, Inviscid-Stability Theory, Viscous Stability of Nearly Parallel Flows, The Kelvin-Helmholtz Instability