57:020 Fluid Mechanics
35
Modeling
•Mathematical physics problem formulation of fluid engineering system
•Governing
equations: Navier-Stokes equations
(momentum), continuity equation,
pressure Poisson equation, energy equation,
ideal gas law, combustions (chemical reaction equation), multi-phase flows(e.g. Rayleigh equation),
and turbulent models (RANS,
LES, DES).
•Coordinates: Cartesian, cylindrical and spherical coordinates result in different form of governing equations
•Initial
conditions(initial guess of the solution)
and Boundary Conditions (no-slip wall, free-surface, zero-gradient, symmetry, velocity/pressure inlet/outlet)
•Flow
conditions: Geometry approximation, domain,
Reynolds Number, and Mach
Number, etc.