In other words inertia. And while that surely winds down eventually, the same convective effect that created the movement during heating will continue while chi

In other words inertia. And while that surely winds down eventually, the same convective effect that created the movement during heating will continue while chilling, sustaining it longer than one would expect. In a typical pot, heat is added at the bottom and lost at the top (mostly through evaporation) and a bit at the sides. When heat isn't added anymore energy loss will still be mainly at the top and at the side, at least when not put on a cold surface. When suspended, e.g. on a gas stove, air convection will mage sir that the sides lose now energy than the bottom. So the direction of the convective drive remains the same in the switch from (usually more violent) heating to chilling, so it will sustain relatively well. On the other hand, while the inertia fades the energy contained in the movement is turned into additional heat that needs to be transported say, but that's a miniscule amount of energy compared to that contained as heat: try to heat up water beyond room temperature by stirring!