Course script

200-page PDF (15 MB)

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 October 15, 2017

Course script

200-page PDF (15 MB)

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

Slides #0 (2017)

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.