MECH336 Fluid Mechanics

Spring 1998; DuPont 104; TR 11:00-12:15

COURSE SCHEDULE

• Chapter 6: Viscous flow in ducts (3 lectures)
  Laminar and turbulent flow; developing and fully-developed flow;
  laminar flow in a pipe; Darcy friction factor; turbulent flow in pipes;
  Moody chart; 3 types of pipe-flow problems.

• Chapter 7: Boundary Layer Flows (6 lectures)
  Boundary layer (BL) in external flows; Karman's analysis for flat plate;
  displacement thickness; derivation of BL equations from N-S equations;
  turbulent BL; BL with pressure gradient; friction drag and pressure drag;
  C_D and C_P; D' Alembert's Paradox; forces on Lifting bodies;
  drag at low Reynolds numbers; Kutta-Joukowski Theorem.

• Mid-Term 1: Tuesday, 17 March

• Chapter 8: Inviscid Incompressible Flows (8 lectures)
  Concept of stream function and potential function;
  continuity and irrotationality; streamlines and equipotential lines;
  singularities: source/sink, vortex; Rankine half-body, Rankine oval;
  doublet; doublet with circulation in uniform flow; 3-d potential flows;
  numerical methods (finite-difference technique).

• Spring-Break: April 4 to April 12

• Mid-Term 2: Tuesday, 21 April

• Chapter 9: Compressible Flow (7 lectures)
  Mach number; equation of state; isentropic process;
  compression waves in fluids; speed of sound; stagnation properties;
  Mach number relations for density and pressure;
  Isentropic flow with area changes; Laval nozzle; choked flow;
  normal shock; converging/diverging nozzles;
  compressible duct flow with friction; Mach cone; oblique shock;
  Prandtl-Meyer expansion waves; supersonic airfoils.

• Last day of class: May 20