Compressible Flow: possible topics to cover in CFD class. • • • • • • • Bocal 1D (Anderson – Comp Fluid Dyn.) Chock tube 1D (Anderson, Stadke) Supersonic jet expansion Prandtl Mayer compression/expansion Supersonic flat plate NACA 0012 transonic (Marco Antônio tese) Blunt body shok wave Explore Sub-sonic potential Flow • Look if it is possible to explore supersonic potential flow. • How one can handle transonic potential flow. This is a big issue because M < 1 ellipitc equation, M>1 hyperbolic equation. Pherhaps a way to go is to use transient approach which is a marching procedure capable to capture shocks. • How to set up compressible potential flow in phoencs. Use bernouli to get pressure. Bocal 1d • • • • • • • Already developed in c-v-nozzle. The nozzle shape was developed in a fitting using excel. The area porosities derived from this fit and were inserted in phoenics using inform. The nozzle has heat addition but no-friction (yet). The model does not have diffusive terms. It uses quick scheme. The pressure term due wall inclination still have to be discussed. According to IM250 homework there is a term but according to Anderson’s book it does not have see pg 292, eq. 7.25. Actually the momentum equation and energy equation have to be clearly stated in 1D form before going to cfd. It has to be done in a document. The flow in the nozzle is isoentropic. The heating is done upstream the nozzle. The theoretical isoentropic relationship have to be developed to check the numerical solution. The shock capture have to be explored. What is conserved, what changes along the shock. The shock thickness and it grid dependecy. Shock Tube 1d • It has to explore the time step in a shock tube. • Anderson, Rhostko and Stadeke books have some material about shock tube solutions. Shock Tube 1d • It has to explore the time step in a shock tube. • Anderson, Rhostko and Stadeke books have some material about shock tube solutions. Supersonic Jet Expansion • It introduces the use of ‘parabolic’ model to a 2D flow capable to handle hyperbolic flow because it is a marching procedure. • The main issue is the parabolic set up in phoenics including the special inform commands. Prandt Mayer Expansion • Parabolic /hyperbolic model in phoenics • Compare with analytical/numerical solution given in Anderson pg. 174 Supersonic Flat Plate • Challenging problem because there is nonviscous flow with a boundary layer viscous flow and shock interaction. • The energy equation has to consider the dissipation term which will increase the air temperature near the wall. • See discussion in Anderson, pg. 449 and also in the analytical solution (kamotani class) Transonic NACA 0012 • Get the MS thesis of Marco Antônio Blunt Body • A challenge. I don´t have any material to start with.