MT5201 – Perturbation Methods in Fluid Dynamics §0 Introduction §1 Taylor Expansion §2 Basic Definitions Exercises 1 §3 Laplaces Method for Integrals §4 Steepest Descent Method Exercises 2 §5 Parametric Expansions §6 Singular Perturbations §7 Method of Matched Asymptotic Expansions §8 Additional Comments Exercises 3 Exercises 4 §9 Method of Multiple Scales §10 Using the Method of Multiple Scales §12 Strained Co-ordinates §13 Renormalization Method Exercises 5 Exercises 6 Summary §14 Viscous Flows §15 Blasius Solution §16 Viscous Wake Flow Goldstein Solution §17 Region 2a Exercises 7 §18 Displacement Effect of the Boundary Layer Exercises 8 §19 Next Order Perturbations in the Boundary Layer Exercises 9 §20 Triple Deck Model §21 Main Part of the Boundary Layer §22 External Inviscid Flow §23 Revision Related