CHEN 4601 Lecture Notes - Lecture 3: Toyota Electronic Modulated Suspension, Opata Language
Document Summary
Two broad classes of models: first principle based models (mass/energy/momentum balances) -> broadly applicable (bigger operating range), really capture the physics and chemistry: emprical or data-based models. -> valid over a narrow operating range --> can"t extrapolate. Further classification: lumped parameter systems vs. distributed parameter models. Variations in space and time (e. g. pfr, packed-bed) Have lots of independent variables --> described by pdes. For pde, discretize it in space (use finite differences) Deterministic: know all variables and how to express them. Stochastic: assume there is noise associated with variables. It is important that we express all variables in terms of the variables for which the differential eqns are written. Can solve this linear ode with an integrating factor. A more realistic situation assumes a valve @ the exit line and turbulent flow. Cv = valve constant now we have square root model. This nonlinear diff eq might have more complicated solutuion q could be fixed (using a constant flow pump)