Fluid Mechanics
for Master Students

Vector field

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

last updated April 25, 2019
Content
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↓ Individual chapters ↓

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

1 Basic flow quantities

Fundamental concepts 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; Four balance equations; Classification of fluid flows; Limits of fluid mechanics.

2 Analysis of existing flows (1D)

Analyze existing flows, and quantify the forces and moments associated with them
One-dimensional flow problems; Balance of mass; Balance of momentum; Balance of energy; The Bernoulli equation

3 Analysis of existing flows (3D)

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.

4 Effects of pressure

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

5 Effects of shear

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.

6 Prediction of fluid 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.

7 Pipe flows

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.

8 Dealing with turbulence

Chapter 8 on turbulence is not complete yet!
Check back here at the end of May 2019.
Thank you for your patience!

9 Engineering models

Scale flows and measurements up and down to facilitate observation
Comparing influcences: the weighted momentum balance; Making models; Comparing results: force and power coefficients.

10 Flow near walls

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.

11 Large- and small-scale flows

Model flows at two extreme ends of the size spectrum
Flow at large scales; Plotting velocity with functions; Flow at very small scales.

Past examinations

Here are archives for the 2018 exam.
The exam briefing for 2019 will be on May 23rd.
Examination template Lecture slides for exam rules Previous lecture script
 
Archived exam — 2018-07-12 correction Chapters 1 to 9
Archived exam — 2017-07-13 correction Chapters 1 to 9
Archived exam — 2017-02-01 correction Chapters 1 to 9
Archived exam — 2016-07-14 correction Chapters 1 to 9
Archived exam — 2016-05-05 correction Chapters 1 to 8
Archived exam — 2016-02-03 correction Chapters 1 to 9
Archived exam — 2015-07-16 correction Chapters 1 to 9
Archived exam — 2015-05-29 correction Chapters 1 to 8
Archived exam — 2015-03-27 correction Chapters 1 to 8