The heat generated by fermentor is 60 kcal/hr L. The cooling capacity of jacket is 10,000 kcal/hr m^2. For a cylindrical fermentor with H/D of 3, the jacket area (m^2) is porportional to fermentor volume (m^3) to the 2/3 power.
Area of Jacket (m^2) = 7*v^(2/3) (m^3)
What is the maximum volume of the fermentor that can be used without additional cooling capacity?
Using equalites relating heat generated and heat removed, the maximum volume of the fermentor that can be used without additional cooling is calculated. The calculation steps are shown.