Nusselt numbers are presented for a swirl chamber with multiple inlets and helical flow for Reynolds numbers from 6100 to 19,200, and ratios of inlet temperature to wall temperature from 0.60 to 0.95. Local Nusselt numbers, measured over the entire interior surface of the swirl chamber using infrared thermography, are highest near the inlets where important influences from Gortler vortex paris are especially evident. Axially-averaged, circumferentially-averaged, and globally-averaged Nusselt numbers, determined from local values, generally increase as Reynolds number increases and as the temperature ratio decreases.