# Fluid Mechanics 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
Content
1234567891011+

## ↓ 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

Identify turbulence and its effects, quantify its basic properties
Recognizing turbulence, The effects of turbulence, Quantifying turbulence, Computing turbulence, Commented bibliography

## 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

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

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