# Fluid mechanics for MAP

## Contents

## Objectives[edit]

This is an introductory course of fluid mechanics. This course is given within the Master Degree Program in Advanced Materials and Processes (MAP) at FAU Erlangen-Nuremberg.

By the end of this course, the students, who has no background in fluid mechanics, are expected

1. To get acquainted with the following fluid flow phenomena.

- Newtonian and non-Newtonian fluids,
- fluid statics,
- laminar and turbulent flows,
- separated flows,
- multi-phase flows,
- Cavitation,
- etc..

2. To have theoretical understanding of fluid flow. This will be achieved by giving the the mathematical fundamentals of integral and differential modeling of fluid flows for the conservation laws of mass, momentum and energy.

3. To classify different types of fluid flow phenomena and derive the necessary non-dimensional parameters.

4. To apply fluid mechanics knowledge on real life problems by simplifying the the governing equations for peculiar flows and solving them.

Moreover, students have the chance to see the direct application of the content in the research and development work conducted at the Institute of Fluid Mechanics-Erlangen (LSTM-Erlangen).

## Motivation of studying fluid mechanics as a MAP student[edit]

Fluid mechanics is a fundamental subject of many disciplines of engineering and natural sciences. It is involved, for example, in chemical engineering, aerospace engineering, medical engineering and, also, in material sciences. As a matter of fact, it is a field where multiple physical effects can be met. Extrusion of polymers, crystal growth, die casting and production of micro and nano structures are example fields related material science, where fluid mechanics plays a very important role. Fluid mechanics knowledge is necessary to understand the nature of flowing medium. This knowledge certainly help us to develop new materials and processes with which we can feasibly produce these new materials. Furthermore, application of the systematics of fluid mechanics in other research subjects might be beneficial.

## Basic components of the course[edit]

This course is dominnatly a theoretical one. However, examples are provided in the form of visual media and laboratory experiments. Exercises are made and homeworks are given so that students get acquainted to the theoretical systematic in fluid mechanics. In the last part of the course, relevant examples of research work, which are conducted at LSTM-Erlangen, are provided.

## Chapters:[edit]

- Chapter 1. Introduction
- Chapter 2. Scalar, Vectors and Tensors
- Chapter 3. Fluid Statics
- Chapter 4. Fluid Dynamics
- Chapter 5. Differential Analysis of Fluid Flow
- Chapter 6. Analytical solutions of internal and external flows
- Chapter 7. Dimensional Analysis
- Chapter 8. Energy Considerations

## Homework[edit]

## Important Links[edit]

- Institute of Fluid Mechanics, Erlangen (LSTM-Erlangen)
- List of fluid mechanics sources in wikipedia
- Yet another list of fluid mechanics sources in wikipedia
- Visual flow courses filmed in 1960’s by very renowned scientists, which were made publicly available by M.I.T.
- Gallery of fluid motion by Physics of Fluids (don’t forget to visit the archive)
- Numerical fluid mechanics sources prepared by computational fluid dynamics community

## Literature[edit]

- Munson, B.R., Young, D.F., and Okiishi,T.H., Huebsch, W.W., “Fundamentals of Fluid Mechanics”, John Willey and Sons.
- Fox, R.W. and McDonald, A.T., “Introduction to Fluid Mechanics”, John Willey and Sons.
- Spurk, J. and Aksel, N., “Strömungslehre: Einführung in die Theorie der Strömungen“, Springer.
- Spurk, J., “Fluid Mechanics“ , Springer.
- Durst, F., “Grundlagen der Strömungsmechanik: Eine Einführung in die Theorie der Strömung von Fluiden“, Springer.
- Durst, F., "Fluid Mechanics: An Introduction to the Theory of Fluid Flows",Springer.
- White, F., “Fluid Mechanics“ , McGraw Hill.
- Pozrikidis, C., "Fluid Dynamics: Theory, Computation and Numerical Simulation", Springer, 2009.
- Fay james., introduction to fluid mechanics,PHI.