for Master Students
A one-semester course for Master students in the Chemical and Energy Engineering program at the Otto-von-Guericke-Universität Magdeburg
last updated June 8, 2018
200-page PDF (17 MB)
↓ Individual chapters ↓
Chapters and exercise sheets extracted from the main lecture notes (with identical content) can also be downloaded below.
Basic notions required to dive into fluid mechanics
Concept of a fluid; Purpose of fluid mechanics; Important concepts in mechanics; Properties of fluids; Forces on fluids; Basic flow quantities; Five main equations; Classification of fluid flows; Limits of fluid mechanics.
Quantify pressure-induced forces on walls, in particular with static fluids
Concept of pressure; Pressure in static fluids; Wall pressure forces and buoyancy.
Understand the concept of shear, and quantify shear-induced wall forces for simple cases
Concept of shear; Slip and viscosity; Wall shear forces.
Analyze existing flows, and quantify the forces and moments associated with them
The Reynolds Transport Theorem; Mass conservation; Change of linear momentum; Change of angular momentum; Energy conservation; the Bernoulli equation; Limits of integral analysis.
Predict fluid flow in the most general terms possible, and understand the nature of CFD
Eulerian description of fluid flow; Mass conservation; Change of linear momentum; Change of angular momentum; Energy conservation; CFD: the Navier-Stokes equations in practice.
Understand duct flow, and quantify pressure losses in pipe installations
Inviscid flow in ducts; Viscous laminar flow in ducts; Viscous laminar flow in cylindrical pipes; Viscous turbulent flow in cylindrical pipes.
Scale flows and measurements up and down to facilitate observation
Scaling forces; Scaling flows; Flow parameters as force ratios; The Reynolds number in practice.
Understand when flows follow walls, and quantify shear on walls when they do
The boundary layer concept; The laminar boundary layer; Transition; The turbulent boundary layer; Separation.
Model flows at two extreme ends of the size spectrum
Flow at large scales; Plotting velocity with functions; Flow at very small scales.
Understand what changes when reversible and shock-wave expansion of gases occur
Compressibility and its consequences; Thermodynamics of isentropic flow for a perfect gas; Speed and cross-sectional area; Isentropic flow in converging and diverging nozzles; The perpendicular shock wave; Compressible flow beyond frictionless pipe flow.