Heat stratification in a tight house
Here’s a building science/theory question. During heating season, houses are often much warmer at the ceiling than at the floor. You can notice this going up the stairs. In order for this to happen there has to be a temperature difference in the air, and I would think that would primarily be due to infiltration, with very cold outside air entering the house.
In a very tight house there is less infiltration, which I think would mean that overall the air within the house would be more uniform in temperature. Absent infiltration the tendency of air in a contained space will be toward uniformity in temperature as any warmer air loses heat to cooler air.
Am I right? Does anyone have real-world experience to support or contradict my theory?