Within this lecture a basic introduction into the field of Fluid Mechanics is given.

The content is summarized as follows:

• Motivation, history organization of the lecture
• Introduction, continuum, pressure, surface tension
• Scalars, vectors and tensors
• Fluid statics and buoyancy
• Governing equations: Integral analysis of fluid flow
• Governing equations: Differential analysis of fluid flow
• Spcial forms of governing equations
• Similitude, dimensional analysis, and modeling
• Solutions of basic internal and external flows
• Applied examples of the course material

The Students:

• will learn the mathematical fundamentals of integral and differential modeling fluid flows
• can classify different types of fluid flow phenomena and derive the necessary non-dimensional parameters
• can simplify and utilize mathematical models for the solution of different types of flows
• have the chance to see the direct application of the content in the research and development work conducted at LSTM-Erlangen