I am concerned about heat transfer profile and mathematical expression of heating a water tank from above.
When you heat water from the bottom, convection due to hot water rising and being replaced by cold water, a mixing occurs.
But when you are heating from top of the tank, I wonder if it is the same heat profile. Because, heated water will stay up and only convection will be the mechanism of heat transfer.
If you can cite a book for this, it would be appreciated. Thank you.