Topics in Fluid Mechanics

Introduction. Experimental observations. definitions: fluid as a continuum, streamlines, streamtubes, particle paths, streaklines, circulation, vorticity. Frames of reference and co-ordinate systems - Tritton 1,2,3,5 &6, Rouse 2, WWW 1,3,12
Link to lecture 1

Classical mechanics applied to fluids. Continuity, Incompressibility, Vector notation, Material derivative operator, acceleration vector, (rate of strain tensor, stress tensor, isotropic and deviatoric stresses) - Tritton 5, 6, Bird 3, Kay 12, WWW 4,5,7, Schlichting 3,4,5 (references also apply to next lectures)
Link to lecture 2

Navier Stokes equations, Boundary conditions; importance of Reynolds number - Tritton 7, Schlichting 4, WWW 7,9,11
Link to lecture 3

Low Re flows; Creeping flow approximation; Poiseuille and Couette flows and Stokes flow past a sphere - Tritton 8,9, Schlichting 1,5,6, WWW 12
Link to lecture 4

High Re flows; difficulties in simplifying Navier Stokes equations Euler's Equation - Tritton 8, Bird 4, WWW 9
Link to lecture 5

Potential flow: Velocity Potential and Stream functions, Cauchy-Riemann analysis, flow nets for steady 2D irrotational flow, lift, Kutta-Joukowski theorem, d'Alembert's paradox - Tritton 13, Rouse 28,40-44, Prandtl 2, WWW 10
Link to lecture 6

Boundary Layer Approximation; simplification of Navier Stokes Equation, Laminar and Turbulent Boundary Layers, exact (Blasius) treatment of laminar layer. Von Karman Momentum Integral Analysis, Boundary Layers over curved surfaces, Separation and reattachment; causes, control & effect on bulk flow - Tritton 11,12 Schlichting 2,7,8,9,14, Kay 13, WWW 12
Link to lecture 7

Heat and Mass Transfer through Boundary Layers, relations between heat, mass and momentum transfer across flow boundaries - Tritton 14, Schlichting 12, Bird 10,18, WWW 16,19,20,25,28,30
Link to lecture 8

Turbulence; phenomena, experiments, descriptions & theories, homogeneous isotropic turbulence, turbulent pipe flow, turbulence and mixing, Dimensional Analysis, Experimentation - Tritton 19,20,21,25, Schlichting 18-22,24, Bird 5,12,20, WWW 11,13,14, Harnby

Two phase flow; liquid-gas flow regimes in vertical and horizontal pipes, pressure drops - Holland 7
Link to lecture 10