[kingjewel1]

Is there a formula that treats heat transfer and dynamic similarity?

E.g. If a human's surface temperature is 37ºC or a has heat flux of 56W/m^2, what equation can I use to find out the equivalent heat flux required for a submerged heated cylinder in a water tank to mimic a human at a reduced scale (1/20)?

Equivalently I have a 25W heater in a quiescent water tank at 7ºC. What process/equations can I use to find out the equivalent heat output were a larger cylinder (1/20 ratio) in air?

Does this make any sense or have I got the concept of dynamic similarity wrong?

Image of cylinder