Fluid Mechanics II

                                                                                                                                                        Introduction

Week 1                                   Review of Bernoulli, momentum and energy equations, their limitations and applications

                                                                                                                                                    Compressible Flows

Week 2                                   Ideal gas relations, speed of sound, Mach number, classification of flows based on Mach number

Week 3                                   Adiabatic and isentropic flows, Mach number relations, relationship to Bernoulli equation, critical values at sonic point. Compressible                                                              nozzle flows: isentropic flow with area changes, choking, operation of converging and diverging nozzles

Week 4                                   Compressible duct flows: compressible duct flows with friction (Fanno flow), compressible duct flow with heat transfer (Rayleigh flow)

Week 5                                   Normal shock waves, moving normal shock waves, two-dimensional compressible flows: oblique shock waves, Mach cone, strong, weak                                                          and very weak shocks, examples,

Week 6                                   Prandtl-Meyer expansion waves, application to supersonic airfoils, thin airfoil theory

                                                                                                                                           Dimensional Analysis and Similitude

Week 7                                  The principle of dimensional homogeneity: variables and constants, choice of variables and scaling parameters, selection of scaling (or                                                             repeating) variables

Week 8                                   The Pi theorem and examples of application. Geometric, kinematic and dynamic similarity

                                                                                                                                                          Viscous Flow Theory

Week 9                                  Introduction to laminar and turbulent flows; analysis of simple laminar flows.

Week 10                               Boundary layers: boundary layer thicknesses, momentum integral equation with zero pressure gradient, boundary layers with pressure                                                          gradients,

Week 11                               Hydrodynamic lubrication

Week 12                               Flow past immersed bodies: flow separation, drag and lift,