Fluid Dynamics
for Engineers

Vector field

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

last updated February 12, 2021

Dear students:
This course is now retired, and this page will no longer be used. Professor Andrea Beck is taking over the fluid dynamics course in 2021 — I am super excited! Please head over to her Moodle course to register. It’s been a huge pleasure working on this for the last five years! I will now focus on completing my PhD. Take care!


0 About this course (syllabus)

Course objectives; This is an online course; About Olivier and colleagues; Assessment; Accessibility; What you need for this course; Names; Contact; Time plan; Copyright, remixing and authors; Conclusion.

1 Basic flow quantities

Fundamental concepts required to dive into fluid mechanics
Concept of a fluid; Purpose of fluid dynamics; Important concepts in mechanics; Properties of fluids; Forces on fluids; Basic flow quantities; Four balance equations; Classification of fluid flows; Limits of fluid dynamics. Solved problems.

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. Solved problems.

3 Analysis of existing flows (3D)

Analyze existing flows, and quantify the forces and moments associated with them
The Reynolds transport theorem; Balance of mass; Balance of momentum; Balance of angular momentum; Balance of energy; Limits of integral analysis. Solved problems.

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. Solved problems.

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; Viscosity; Special case: shear in simple laminar flows. Solved problems.

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. Solved problems.

7 Pipe flows

Understand pipe flows, and quantify key parameters in pipe installations
Friction-less flow in pipes; Parameters to quantify losses in pipes; Laminar flow in pipes; Turbulent flow in pipes; Engineer’s guide to pipe flows. Solved problems; Problems.

8 Engineering models

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

9 Dealing with turbulence

Identify turbulence and its effects, quantify its basic properties
Chapter 9 is not part of the course in the winter semester 2020-2021
Recognizing turbulence, The effects of turbulence, Quantifying turbulence, Computing turbulence, Commented bibliography.

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. Solved problems; Problems.

11 Large- and small-scale flows

Model flows at two extreme ends of the size spectrum
Chapter 11 is not part of the course in the winter semester 2020-2021
Flow at large scales; Plotting velocity with functions; Flow at very small scales.

A Appendix

Notation; Vector operations; Field operators; Derivations of the Bernoulli equation; Flow parameters as force ratios; 2020 Examination information; Example of previous examination; List of references.