# Fluid Dynamics for Engineers 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 April 25, 2021
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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.

## Examination information

Key information about the winter semester 2020-2021 examination is given in the appendix of the lecture notes. Examination template, winter semester 2020-2021