Can heat flow through an object whilst it remains at a stead

Can heat flow through an object whilst it remains at a steady temperature without a change in entropy?

For example: water boiling on a stove.

Solution

Yes, it can be possible. It is the case when the amount heat provided to the system is equal to the heat given by the system.

e.g. While water boils, heat given to the water is lost in the form of water vapour.