# Introdution

# Recorded lectures on * Continuum mechanics* by Magnus Ekh

# Lecture Continuum Mechanics 1. Index notation

# Lecture Continuum Mechanics 2. Vectors

# Lecture Continuum Mechanics 3. 2nd-order tensors

# Lecture Continuum Mechanics 4. eigenvalue problems

# Lecture Continuum Mechanics 5. Spatial derivatives and divergence

# Lecture Continuum Mechanics 6. Stress tensor

# Lecture Continuum Mechanics 7. Continumm motion

# Lecture Continuum Mechanics 7. Balance laws

# Lecture Continuum Mechanics 8. Constitutive models

# Recorded lectures on * Fluid mechanics* by Lars Davidson

# Lecture Fluid Mechanics 1. Euler-Lagrange, strain-rate, vorticity, rotation, eigenvalues

# Lecture Fluid Mechanics 2. Navier-Stokes, Energy equations, conservative -- non-conservative, The Rayleigh problem

# Lecture Fluid Mechanics 3. channel flow, flat-plate boundary layer, Blasius

# Lecture Fluid Mechanics 4. 3D and 2D vorticity transport eqns, vortex-stretching, vorticity flux

# Lecture Fluid Mechanics 5. Bernoulli eq, komplex potential, Cauchy-Riemann, Magnus effect, table tennis, free-kicks in football, Flettner rotors

# Lecture Fluid Mechanics 6. Introduction to turbulence: energy spectrum, Kolmogorov scales, -5/3 law

# Lecture Fluid Mechanics 7. RANS, turbulent stresses, linear wall law, log-law, viscos and turbulent forces

# Lecture Fluid Mechanics 8. Rules for time averaging, Boussinesq assumption, turbulent viscosity, derivation of exact k equation

# Lecture Fluid Mechanics 9. derivation of mean kinetic energy equation K, energy flow between k and K, formulation
of modelled k and eps equations

# Lecture Fluid Mechanics 10. wall functions, low-re number k-eps model, Taylor expansion, near-wall behavior, damping functions, wall b.c. for epsilon

# Assignment 1, boundary-layer flow, introduction

Course home page

Department of Mechanics and Maritime Sciences

Division of Fluid Dynamice