We're designing a DIY super-insulated hot water tank heated sauna.
We want to design a sauna using a normal hot water heater as the sole heat source.
We have a super-insulated tank that requires n BTU/hr. to maintain an interior temp of 150deg.F (at an arbitrary but defined level in the tank) within a room at an ambient temp of 60deg.F.
The idea is to simply expand the tank's insulating envelope to 7' X 7' X 7' &, w/o increasing the energy requirements by more than, say, 1 BTU/hr. to heat the room to approximately 150degF.
We are toying with R-65 walls & perhaps R-100 ceiling, but are not sure about the floor. Although we're playing with some heat transfer/loss formulae, we'd like the proper formulae & considerations to use here. We're happy to switch to metric, if you like.