Heat Flow from Thermal Resistance

Q˙=ΔTR\dot{Q} = \frac{\Delta T}{R}

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This is the payoff of the whole resistance network: once you have added up the layers, the heat flow is just ΔT over R, the exact analogue of I = V/R. A wall assembly totalling 0.066 K/W with 22 K across it passes 22/0.066 = 333 W, and no further physics is required. The same equation run backwards is how a thermal engineer sizes an enclosure — an electronics box dissipating 40 W that may only rise 25 K above ambient needs the path from junction to air to be under 0.625 K/W, total, including the heatsink and the interface pad.

Because resistances are additive and heat flow is not, the intermediate temperatures come free: the drop across any single layer is Q̇ × R for that layer alone. That is how you check whether a wall's dew point falls inside the insulation or safely outside it, and how a plant engineer proves the fouled side of an exchanger is the tube interior rather than the shell. Trap: ΔT here is a difference, so 40 °F of difference is 22.2 K, not 4.4 — the calculator handles the conversion, but the arithmetic in your notebook may not.

Heat Flow from Thermal Resistance
Q˙=ΔTR\dot{Q} = \frac{\Delta T}{R}
Where
  • Q˙\dot{Q}= Heat flow rate
  • ΔT\Delta T= Temperature difference
  • RR= Total thermal resistance
Missing one of these? Work it out first, then come back