Course script

200-page PDF (26 MB)

for Master Students

A one-semester course for Master students in the Chemical and Energy Engineering program at the University Otto von Guericke of Magdeburg

last updated June 14, 2019

Course script

200-page PDF (26 MB)

Chapters and exercise sheets extracted from the main lecture notes (with identical content) can also be downloaded below.

Fundamental concepts required to dive into fluid mechanics

Slides #1 (2019)

Concept of a fluid; Purpose of fluid mechanics; Important concepts in mechanics; Properties of fluids; Forces on fluids; Basic flow quantities; Four balance equations; Classification of fluid flows; Limits of fluid mechanics.

Analyze existing flows, and quantify the forces and moments associated with them

Slides #2 (2019)

One-dimensional flow problems; Balance of mass; Balance of momentum; Balance of energy; The Bernoulli equation

Analyze existing flows, and quantify the forces and moments associated with them

Three-dimensional flow problems; The Reynolds transport theorem; Balance of mass; Balance of momentum; Balance of angular momentum; Balance of energy; Limits of integral analysis.

Understand the concept of pressure, and quantify pressure-induced forces on walls for simple cases

Pressure forces on walls; Pressure fields in fluids; Special case: pressure in static fluids

Understand the concept of shear, and quantify shear-induced forces on walls for simple cases

Shear forces on walls; Shear fields in fluids; Special case: shear in simple laminar flows.

Predict fluid flow in the most general terms possible, and understand the nature of CFD

Eulerian description of fluid flow; Equations for all flows; Equations for incompressible flows (balance of mass, balance of momentum); CFD: the Navier-Stokes equations in practice.

Understand pipe flows, and quantify key parameters in pipe installations

Friction-less flow in pipes; Quantifying losses in pipes; Laminar flow in pipes; Turbulent flow in pipes.

Identify turbulence and its effects, quantify its basic properties

Slides #8 (2019)

Recognizing turbulence, The effects of turbulence, Quantifying turbulence, Computing turbulence, Commented bibliography

Scale flows and measurements up and down to facilitate observation

Comparing influcences: the weighted momentum balance; Making models; Comparing results: force and power coefficients.

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

Prep video #11 (2017, back when chapter number was different)

Flow at large scales; Plotting velocity with functions; Flow at very small scales.

The next exam will take place on July 11, 2019.
Examination template (draft for 2019)
Lecture slides for exam rules 2019