### 08.128.794 Fluidmechanics and Biomechanics

#### Lecture / Lab

Summer term 2017, Begin: Apr. 18.

Lectures: Tuesday 14:15-15:45, IMB Mainz, Ackermannweg 4, IMB Seminar room, 2nd floor

Tutorial: Wednesday 13:00-14:30 (tbc), Institut für Physik, Staudingerweg 7, CIP pool 03.423

Lecturers: Dr. Udo Birk, Prof. Dr. Christoph Cremer

Teaching language will be English, unless otherwise specified.

In the tutorials, advanced concepts of modeling and simulation of the topics discussed in the lectures will be applied, based on the programming environment MATLAB. Students will be given exercises to model the physical processes discussed during the lectures, and to evaluate the potential of the underlying model.

In the lectures to **Fluidmechanics**, the following topics will be covered:

1.- Introduction to fluid mechanics
1.1. Solids, liquids and gases
1.2. The continuum hypothesis
1.3. Density, velocity and internal energy
1.4. Local thermodynamic equilibrium. Equations of state.
2.- Kinematics of the fluid flow
2.1. Eulerian and Lagrangian descriptions
2.2. Uniform flow. Steady flow. Stagnation points.
2.3. Trajectories. Paths. Streamlines.
2.4. Substantial derivative. Acceleration.
2.5. Circulation and vorticity. Irrotational flow. Velocity potential.
2.6. Stream function
2.7. Strain-rate tensor
2.8. Convective flux. Reynolds transport theorem.
3.- Conservation laws in fluid mechanics
3.1. Continuity equation in integral form
3.2. Volume and surface forces
3.3. Stress tensor. Navier-Poisson law
3.4. Forces and moments on submerged bodies.
3.5. Momentum equation in integral form. Angular momentum equation.
3.6. Heat conduction vector. Energy equation in integral form.
4.- The Navier-Stokes equations
4.1. Navier-Stokes equations.
4.2. Initial and boundary conditions.
4.3. Bernoulli¿s equation
5.- Dimensional analysis
5.1. Dimensional analysis. The Pi theorem.
5.2. Applications
5.3. Nondimensionalization of the Navier-Stokes equations
5.4. Dimensionless numbers in fluid mechanics
6.- Flow in ducts with biomedical applications: circulatory flow, flow in airways
6.1. Unidirectional flows
6.2. The Stoke's problem
6.3. Quasi-one-directional flow
6.4. Applications to flows of interest in biology

#### M.Sc. Physics course

Please register at the Jogustine entry for this course at the University of Mainz

#### Course lecture material and exercises

available here ...