A lid assembly that can be placed on a pan having a bottom surface that is configured for placement on a burner of the stove top with one or more foods to be cooked supported above an inner bottom surface of the pan by a rack. The lid assembly covers the pan and thereby encloses the one or more foods to be cooked and the rack within a cavity defined by the pan and the lid assembly. An air flow generator mounted on a shaft that extends through a cover portion of the lid from a motor disposed on an opposite side of the cover portion rotates the shaft to produce airflow within the cavity. The lid assembly cooks foods in less time and using less energy than normally required with a conventional oven.