# Food to Microorganisms Ratio (F/M)

## Definition

A parameter of organic loading rate in the design aerated sludge parameter in the design of Trickling Filter in organic loading rate = kg of BOD / m3-d

F/M ratio =

F/M ratio = BOD / MLSS x t kg of BOD / Kg of MLSS/day

FM ratio varies between 0.2 -0.5 day^{-1}

- F/M ratio -0.5 day-1 has a good settleabilty of a sludge. ( even in some cases it can go to 1)
- F/M ratio -<0.2 Food is very limited so the bacteria will die.
- F/M ratio 70.5 day
^{-1}Food is more so the bacteria will move the effluent (failure of the system) - If high F/M ratio, filamentous bacteria will also grow. They not settle easily because of long tails, get entangled with each other. Food to micro organism ratio(F/M) is a common used parameter in the activated-sludge process which is defined as the kg of BOD5applied per kg MLSS per day.

### Derivation of F/M Ratio:

Q = Flow of Sewage (m3/day)

BOD = organic matter (mg/l)

FOOD = Q (m3/day) x BOD (mg/l)

FOOD = Q x BOD / 1000 (Kg of BOD/ day)

V = Volume of Aeration (m3)

MLSS = Mixed liquor suspended solids (mg/l)

Micro-organisms = V (m3) x MLSS (log/l) / 1000 = V x MLSS / 1000 (kg of MLSS in aeration tank)