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.

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