I am from a mathematical background so I don't have much knowledge on biology. I'm building a mathematical model to predict heat generation with parameters of metabolic heat generation and exercise heat generation.
Metabolic heat generation as far as I understand is the heat produced through body's chemical processes, digestion of food, and elimination of waste.
In this article here, the value for metabolic heat generation is given as 33800$W/m^3$. But the exercise intensities as given here only has values of around $582 W/m^2$.
I think we produce more heat when we exercise than through metabolic activities alone. Is this correct?
If so, why does this huge difference in values of 33800 and 582? Why would the heat generated via exercise be such a low value? (Of course they are not measured in same units.)
Is there any other unit other than $W/m^2$ that measures the heat generated through exercises so that it gives a resonably at least closer value to metabolic heat generation?