A numerical model of the internal flow in a duct rotating about one end is described. One-dimensional Euler equations are solved inside the duct using a finite volume formulation in which the advective fluxes are calculated using the advection upwind splitting method. The model was developed as a fast design tool for helicopter rotor blades with internal spanwise flow. To this end, centrifugal as well as Coriolis effects, frictional losses, duct sweep, and timedependent duct boundary conditions are modeled, and a spanwise flow control valve can be included. The model is used to explore the behavior of a 2-m-long duct with a circular cross section, rotating at tip speeds of up to 260 m∕s. The effects of centrifugal pumping, duct friction, duct sweep, and a flow control valve on the spanwise pressure and velocity distribution, mass flow rate of air through the duct, and torque required to spin the duct are discussed. Nomenclature a rel = relative acceleration of the rotating reference frame with respect to inertial frame= flux vector (y direction) across face "j" K = thermal conductivity of the medium, W∕m · K M = Mach number P = local static pressure, Pa P 1∕2 = local static pressure at a face denoted by (1∕2), Pa Q = vector of forcing/source terms q = duct torque due to internal flow, N · m R = length of the rotating duct, m r x = distance of any point from the axis of rotation in the x direction, m r y = distance of any point from the axis of rotation in the y direction, m T = local static temperature, K u = velocity of fluid in the x direction, m∕s v = velocity of the fluid in the y direction, m∕s w = velocity of a fluid element in the rotating reference frame x = coordinate along duct axis, m y = coordinate perpendicular to duct axis, m Δt = computational time step, s ΔV = volume of a unit cell, m 3 Δx = spanwise length of each grid cell, m Ω = rotational rate of the duct, rad∕s ρ = density of air, kg∕m 3