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The equations governing the variation of total pressure and velocity along the axis of a duct that exhibits leakage are derived and solved numerically. Duct performance is found to depend on two dimensionless constants. Input to the model is the desired supply/return flow rate and pressure. The model calculates the required total pressure and velocity in the duct adjacent to the fan or upstream fitting; hence, it is useful in design applications. Model results are presented in terms of characteristic performance curves. Model predictions are found to compare favorably to a case presented previously in the literature.

Units: Dual