Course Contents - How to apply the basic laws of mechanics and thermodynamics to describe compressible flows.
- How can we properly describe a compressible flow field using the Euler equation + jump relations.
- Understand the concept of characteristics and invariants in the context of linear and non-linear flows.
- How to apply characteristics for non-linear flows for the computation of isentropic unsteady flows.
- Understand the relation between shock waves and characteristics.
- Application of Hugoniot and Poisson curves to solve a Riemann problem.
- Definition of characteristics for 2D steady flows, and similarity with 1D unsteady flows (time-like and space-like).
- How can use the method of characteristics and method of waves to compute a 2D compressible flow field.
- Investigate the effect of viscosity and heat transfer in a 1D flow (Fanno and Rayleigh flow).
Study Goals At the end of this course, the student will be able to:
- Understand aerodynamic concepts and apply aerodynamic theory for compressible flows.
- Apply the fundamental equations of fluid mechanics and thermodynamics to describe compressible flows; derive the governing
equations for compressible flow and discuss the terms.
- Derive the jump relations for the Euler equations and describe their relation to shock waves.
- Discuss the role of entropy in combination with the jump relation for a correct description of a flow field.
- Explain the concept of characteristics and invariants for 1D unsteady and 2D steady flows and how to use them for flow field
computations (MOC).
- Understand the role of characteristics in shock wave formation, elaborate on the theory of simple waves.
- Derive the equations governing 1D flows through channels and nozzles in presence of viscosity and heat transfer. Explain the
physical phenomena and processes that occur.
