Consider a non-biological system - no drain field, mound, leachbed, etc. makes water as clean as rain and goes goes with rainwater - like to a footer drain.
Power consumption is proportional to sewage flow. EPA says DESIGN FOR 100 GAL / PERSON / DAY AND THAT'S FINE BUT AVERAGE WATER...
head pressure @ static conditioon same regardless of size - it's measuring height of a colum of water. the cameron head loss would be the dynamic pressure - i.e. static head less friction loss in nozzle - make sure to account for additional friction loss if there is any associated length of pipe...
look for "Ten states standards" via google
Where are you located ?
Many states have min. standards for dwellings based on home type - e.g. 100 gpd / person if you are going to sanitary sewers.
If you are designing an onsite WWTP that may be a different story.
1 water saver toiler = 1 gallon...
Do not confuse air entrainment with cavitation - cavitation is hydraulic phenomenon - not related to air.
Air entrainment is a function of several items - most important that suction meets minimum submergence in all conditions - usually worst case is maximum flow rate at pump off liquid level...
How dry do you want it ? What is the destination of dry bulk material.
Thermcools' statement on rough approximation is correct - except I don't understand what He means by "heat absorbed by bulk biomass" and "loss to the ambient".
While as a unit operation Themcool is correct on rough...
What sort of a climate are you in ?
Is this domestic sewage or industrial wastewater ?
Are tanks concrete, steel, fiberglass ?
Are tanks in ground or above grade ?
What is typical sludge concentration ?
If it were simply heat transfer through sidewalls and bottom of tank, how would you...