I'm working fermentation scale up. Now I need to scale up the process from 50L to 5KL. I need to buy Utilities like steam boiler, chiller, compressor etc.., To buy such things i need to know the heat transfer rate of my process in 50L fermenter.
1. Need information: - What are the media (heat and coolant)? - Temperature gradients; - flow velocity of the coolant; - information on the thermal conductivity of the bioreactor material; - information on the heat capacity of the medium; - heat exchange surface; - heat loss. 2. Next, determine the coefficient of heat transfer (from the coolant to the bioreactor and from the bioreactor to the heated medium). 3. Calculate the required amount of heat (take into account the losses). For this we use: - The amount of heat; - Temperature gradient; - heat exchange surface; - coefficient of efficiency.
You can use the methodology for calculating the heat exchanger.
Could you not simply measure it to get an impression at least? Then the wall of your fermenter must have been cooled or otherwise. Then measure temperatures of cooling liquid (water?) in and out and temperatures of influent and effluent, or when well mixed the temperature of the broth. Then use heat balances. Without cooling liquid guess the outside heat transfer coefficient for the calculation. Around 5 W/(m2 K) depending on circumstances. However, you cannot use the resulting value at large scale (scale dependent). Your major problem will be the change in area needed (A/V). Hence the design of the cooling (such as tubes inside or halftubes at outside). Good luck.
Apply energy balance between system and surrounding. Heat In-Heat out =accumulation (please go through the basics of heat transfer)
Just try to use some principals from https://books.google.com.eg/books?id=PY_nAQAAQBAJ&pg=PA91&lpg=PA91&dq=clean+steam+fermenter+sterilization+requirements+kilograms&source=bl&ots=ZRIvgB5xV0&sig=ACfU3U2-P67Uu3UPHNIPcMJatqWS9bZBjQ&hl=ru&sa=X&ved=2ahUKEwj-7bPu9_HoAhV7DWMBHQ-wAVgQ6AEwCXoECAwQLg#v=onepage&q=clean%20steam%20fermenter%20sterilization%20requirements%20kilograms&f=false
But all depends on how deeply do you want to go.
You may want to check also this RG thread: https://www.researchgate.net/post/How_do_I_calculate_impeller_speed_of_a_bioreactor_from_impeller_power_number
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