Orifice airflow
From the cross sectional area of an opening, calculate the airflow from the pressure drop across it.
An example application would be a fan cooled enclosure. From the fan's flow rate vs pressure curve, adjust the pressure drop until the calculated flow rate matches the fan's specification.
Once you have found the flow rate, you can plug the value into the temperature rise calculator: LINK
Be sure to use the correct units and change the default values if necessary: