A mathematical model for wave rotors is described, The wave processes
that affect energy exchange within the rotor passages are modeled usin
g one-dimensional gasdynamics. Macroscopic balances relate volume-aver
aged thermodynamic properties in the rotor passage control volume to t
he mass, momentum, and energy fluxes at the ports, Simple loss models
are used to estimate entropy production in boundary layers and in sepa
rating flows caused by blade-blockage, incidence, and the gradual open
ing and closing of rotor passages, The mathematical model provides a b
asis for designing port and rotor geometry, and for predicting design-
point wave rotor performance, Model predictions are evaluated through
comparisons with computational fluid dynamics calculations and three-p
ort wave rotor experimental data, A four-port wave rotor design exampl
e is provided to demonstrate model applicability, The modeling approac
h is amenable to wave rotor optimization studies and rapid assessment
of the tradeoffs associated with integrating wave rotors into gas turb
ine engine systems.