Biological Treatment Units

Design the aeration tank from the food-to-microorganism ratio F/M = QS_0/(VX), which fixes the tank volume for a given BOD load and mixed-liquor concentration, and check sludge settleability by the SVI.

Key formulas & points

Skim these first — then read the full notes below.

  • ASP, trickling filter, RBC, UASB for different scales
  • MLSS 2000–4000 mg/L; SVI for settleability
  • Secondary clarifier overflow rate 15–30 m³/m²/day

Topic details

Introduction

Biological treatment uses micro-organisms to consume the organic matter (BOD) in wastewater, converting it to cell mass and gases. The activated sludge process (ASP) is the most common suspended-growth system, followed by attached-growth systems like trickling filters and RBCs.

Scope in B.Tech and GATE syllabus

The key design parameter is the food-to-microorganism (F/M) ratio, which balances the incoming organic load against the microbial mass in the aeration tank. A low F/M gives extended aeration (stable, well-treated effluent) while a high F/M gives high-rate treatment (smaller tank, less stable).

Why this topic matters in practice

The aeration tank supplies oxygen for the aerobic microbes, and the secondary clarifier settles the biological flocs, returning most as recycled sludge (to maintain the microbial population) and wasting the surplus. Sludge settleability, measured by the sludge volume index (SVI), is critical to clarifier performance.

Key relations & formulas

Activatedsludge:FM=QS0(VX)Activated sludge: \frac{F}{M} = Q \frac{S_{0}}{(V X)}
(food to micro-organism ratio)
Monod:μ=μmS(Ks+S)Monod: \mu = \mu_{m} \frac{S}{(K_{s} + S)}
(specific growth rate)
Oxygenrequired:O2=1.42(BODremoved)+4.57(NH3oxidised)2.86Oxygen required: O_{2} = 1.42 (BOD removed) + 4.57 (NH_{3} oxidised) - 2.86
(NO₂ reduced)

Notation and sign conventions

Relation 1 —
Activatedsludge:FM=QS0/Activated sludge: \frac{F}{M} = Q S_{0} /
Activatedsludge:FM=QS0(VX)Activated sludge: \frac{F}{M} = Q \frac{S_{0}}{(V X)}
(food to micro-organism ratio)
Write this relation with symbols exactly as in Environmental Engineering — SK Garg before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Monod:μ=μmS/Monod: \mu = \mu_{m} S/
Monod:μ=μmS(Ks+S)Monod: \mu = \mu_{m} \frac{S}{(K_{s} + S)}
(specific growth rate)
Write this relation with symbols exactly as in Environmental Engineering — SK Garg before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
Oxygenrequired:O2=1.42Oxygen required: O_{2} = 1.42
Oxygenrequired:O2=1.42(BODremoved)+4.57(NH3oxidised)2.86Oxygen required: O_{2} = 1.42 (BOD removed) + 4.57 (NH_{3} oxidised) - 2.86
(NO₂ reduced)
Write this relation with symbols exactly as in Environmental Engineering — SK Garg before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

In the activated sludge process, microbes suspended as flocs in the mixed liquor consume soluble BOD; the mixed-liquor suspended solids (MLSS, 2000–4000 mg/L) represent this microbial mass X. The F/M ratio F/M = QS_0/(VX) therefore sets the loading, and rearranging gives the aeration-tank volume for a target F/M.

Governing relations in practice

Microbial growth follows Monod kinetics: the specific growth rate rises with substrate concentration up to a maximum, so at high BOD the microbes grow fast (substrate not limiting) and at low BOD growth is substrate-limited. This governs treatment rate and effluent quality.

Design and analysis considerations

Oxygen demand includes carbonaceous BOD removal and, where nitrification is required, the oxidation of ammonia (which consumes large amounts of oxygen); the oxygen-balance equation sums these contributions to size the aeration system.

Advanced theory and extensions

The secondary clarifier both clarifies the effluent and thickens the settled sludge for recycle; its surface overflow rate (15–30 m³/m²/day) must be low enough for the flocs to settle, and a high SVI (bulking sludge) that settles poorly can wash solids out and fail the process.

Assumptions and validity limits

State assumptions explicitly before using any relation for biological treatment units — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Environmental Engineering (Civil) viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Environmental Engineering (Civil) papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to biological treatment units.
4. Use equation 1:
Activatedsludge:FM=QS0/Activated sludge: \frac{F}{M} = Q S_{0} /
.
5. Use equation 2:
Monod:μ=μmS/Monod: \mu = \mu_{m} S/
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Biological Treatment Units appears in municipal projects and STPs. In Indian civil curricula this topic is tested because it connects theory to water supply and wastewater.
GATE and semester exams often combine biological treatment units with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use biological treatment units?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Confusing F/M ratio with sludge age (both control loading but differently).
• Ignoring the oxygen demand of nitrification when ammonia removal is needed.
• Overloading the clarifier with too high an overflow rate.
• Overlooking sludge bulking (high SVI) as a cause of poor effluent.

Quick revision checklist

Before attempting biological treatment units problems, confirm you can:
1. ASP, trickling filter, RBC, UASB for different scales
2. MLSS 2000–4000 mg/L; SVI for settleability
3. Secondary clarifier overflow rate 15–30 m³/m²/day
Revise the solved examples in Environmental Engineering — SK Garg and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Aeration tank volume from F/M ratio

Problem

An activated sludge plant treats Q = 5000 m³/day with influent BOD S_0 = 250 mg/L. The design F/M ratio is 0.3 /day and MLSS X = 3000 mg/L. Find the required aeration tank volume.

Solution

From F/M = Q S_0/(V X): V = Q S_0/(F/M × X) = (5000 × 250)/(0.3 × 3000) = 1 250 000/900 = 1389 m³. This aeration-tank volume gives a hydraulic retention time of V/Q = 1389/5000 = 0.278 day ≈ 6.7 hours, typical for a conventional activated sludge plant.

Conceptual check — Biological Treatment Units

Problem

In a Environmental Engineering (Civil) semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of biological treatment units." What should a complete answer include?

Exams & GATE

SK Garg — ASP aeration tank volume from F/M design.

📖 Standard books (India)

  • Environmental EngineeringSK Garg

    Read: Syllabus unit

    Water supply and wastewater for civil students