IS 13166:1992 provides comprehensive guidelines for evaluating and testing mechanical surface aerators used in water and wastewater treatment. It covers key aspects such as oxygen transfer capacity, efficiency, mass transfer coefficients, and the effects of operational variables on aeration performance. This standard is essential for engineers and professionals involved in designing, testing, and optimizing surface aerators to ensure effective oxygenation and mixing in aeration basins.
Overview
IS 13166:1992 provides comprehensive guidelines for evaluating and testing mechanical surface aerators used in water and wastewater treatment. It covers key aspects such as oxygen transfer capacity, efficiency, mass transfer coefficients, and the effects of operational variables on aeration performance. This standard is essential for engineers and professionals involved in designing, testing, and optimizing surface aerators to ensure effective oxygenation and mixing in aeration basins.
Audience
Contents
Structure
IS 13166: Scope - Key Formulas, Tables & Specifications
Overall mass transfer rate:
[ \frac{dC}{dt} = K_{La} (C_s - C) ]
where,
(K_{La}) = overall mass transfer coefficient (h(^{-1}))
(C_s) = saturation DO concentration (mg/L)
(C) = DO concentration at time (t) (mg/L)
Exponential curve fitting:
[ C = C_s \left[1 - e^{-K_{La} t}\right] ]
Log-deficit method:
[ K_{La} = \frac{\ln(C_s - C_1) - \ln(C_s - C_2)}{t_2 - t_1} ]
| Method | Equation | Remarks |
|---|---|---|
| Direct analysis | (\frac{dC}{dt} = K_{La}(C_s - C)) | Plot slope = (K_{La}), intercept = max oxygen transfer rate |
| Exponential fitting | (C = C_s [1 - e^{-K_{La} t}]) | Requires nonlinear least squares for (K_{La}) and (C_s) |
| Log-deficit | (K_{La} = \frac{\ln(C_s - C_1) - \ln(C_s - C_2)}{t_2 - t_1}) | (C_s) must be known |
| Variable | Effect on (K_{La}) | Effect on (C_s - C) | Net Oxygenation Effect |
|---|---|---|---|
| Temperature | Increases (K_{La}) | Decreases (C_s) | Negligible if (C<3) mg/L; decreases if (C>3) mg/L |
| Circulating velocity | Increases (K_{La}) | - | Increases |
| Aeration rate/O2 partial pressure | Increases (K_{La}), (C_s) | Increases (C_s - C) | Increases |
IS 13166: Reference Standards - Key Formulas & Tables
[ \frac{dC}{dt} = K_L a (C_s - C) ]
Where:
(K_L) = liquid film coefficient
(a) = interfacial area/unit volume
(K_L a) = overall mass transfer coefficient
(C_s) = saturation DO concentration
(C) = DO concentration at time (t)
Exponential Curve Fitting:
[ C = C_s \left[1 - e^{-K_L a t}\right] ]
[ K_L a = \frac{\ln(C_s - C_1) - \ln(C_s - C_2)}{t_2 - t_1} ]
[ C(t+h) = C_t e^{-K_L a h} + C_s (1 - e^{-K_L a h}) ]
Simplest and accurate; does not require (C_s) known.
| Method | Remarks |
|---|---|
| Direct Analysis | Requires computer; plots (\frac{dC}{dt}) vs (C) to find slope (K_L a) |
| Exponential Curve Fitting | Uses least squares non-linear analysis for (K_L a, C_s) |
| Rapid Estimate | Requires known (C_s); estimates saturation levels at 63.86% and 95% |
| Log-Deficit Method | Requires known (C_s); linearity check for correctness |
| Linearized Transformation | Does not require known (C_s); simplest and accurate method |
| Parameter | Graphical Method | Numerical Least Squares | Non-Linear Programming |
|---|---|---|---|
| (K_L a) (min(^{-1})) | 0.111 | 0.118 |
| Type | Description | Process Used | Advantages | Disadvantages | Oxygen Transfer Efficiency (kg O₂/hr/kW) |
|---|---|---|---|---|---|
| Diffused Aeration | |||||
| Porous Diffuser | Fine bubbles via ceramic/plastic porous media | Large activated sludge processes | High transfer efficiency, good mixing | High cost, clogging, not for complete mixing | 0.53 - 0.91 |
| Non-porous Diffuser | Large/coarse bubbles via nozzles or valves | All sizes of activated sludge | Less clogging, low maintenance | Low oxygen transfer efficiency, high power cost | ~0.55 |
| Static Mixer | High shear via static elements in cylinder | Primary aerated lagoons | Low maintenance | Questionable mixing ability | 1.22 - 1.33 |
| Mechanical Aeration | |||||
| Radial Flow Slow Speed | Large diameter, low speed turbine | Activated sludge & lagoons | High oxygen transfer efficiency | Icing in cold climates | 2.43 |
| Axial High Speed | Small diameter, high speed propeller | Activated sludge & lagoons | Good oxygen transfer & pumping capacity | - | 1.59 - 2.13 |
| Brush Aeration | Low speed, brush type | Oxidation ditch | Moderate oxygen transfer efficiency | - | 1.68 |
| Turbine Aeration | Low speed turbine with compressed air sparge | Activated sludge | Good mixing, moderate transfer efficiency | Requires reducer and compressor | 1.035 - 1.59 |
[ \frac{dC}{dt} = K_L a (C_s - C) ]
IS 13166: Basic Equations & Models of Mass Transfer
| Model | Liquid Surface | Diffusion Type | Mass Transfer Coefficient (KL) | Remarks |
|---|---|---|---|---|
| Film | Stagnant | Steady | ( KL = \frac{D}{L} ) | Easy to determine |
| Penetration | Surface renewal | Unsteady | ( KL = 2 (V D_R / t_c)^{1/2} ) | Average ( t_c ) known only |
| Surface Renewal | Renewal frequency | Unsteady | ( KL = (V S D_S)^{1/2} ) | (S) difficult to determine |
| Film/Surface Renewal | Mixed turbulence | Steady/Unsteady | ( KL = (V S D_S)^{1/2} \coth(1/(S L/D)) ) | (S) and (L) hard to find |
| Film/Penetration | Combined | Steady/Unsteady | Complex exponential form involving (D, L, t) | Difficult to determine (S, L) |
[ \text{O}_2 = K_L a (C_s - C) ]
| Variable | Effect on (K_L a) and (C_s - C) | Net Effect on Oxygenation |
|---|---|---|
| Temperature | (D) ↑, (L) ↓, (C_s) ↓ | (K_L a) ↑, (C |
IS 13166: Determination of Oxygenation Capacity - Key Formulas & Tables
| Method | Equation | Remarks |
|---|---|---|
| i) Direct Analysis | (\frac{dC}{dt} = K_L a (C_s - C)) | Plot (\frac{dC}{dt}) vs (C); slope = (K_L a) |
| ii) Exponential Curve Fitting | (C = C_s \left[1 - e^{-K_L a t}\right]) | Use least squares for (K_L a), (C_s) |
| iii) Rapid Estimate (Time Constant) | (C = C_8 \left[1 - e^{-K_L a t}\right]) | (C_s) must be known; 63.2% & 95% saturation levels |
| iv) Log-Deficit Method | (K_L a = \frac{\ln(C_s - C_1) - \ln(C_s - C_2)}{t_2 - t_1}) | (C_s) known; linearity check essential |
| v) Linearized Transformation | (C(t + h) = C(t) e^{-K_L a h} + C_s (1 - e^{-K_L a h})) | Does not require (C_s); simple & accurate |
| Organization | Lower Cut Off (%) | Upper Cut Off (%) |
|---|---|---|
| Yeomans | 10 | 70 |
| Emico | 10 | 80 |
| Welles | - | 75 |
| Rexord | 20 | 90 |
| Mix-equipment | 20 | 90 |
| ASME | 20 | 90 |
| PEMA | 20 | 80 |
| WPCF | 10 | 70 |
*Note:
IS 13166: Factors Affecting Oxygen Transfer & Aerator Performance
Mass Transfer Coefficient Conversion: [ KLa(T) = KLa(20) \times \theta^{(T-20)} ] where (\theta) depends on water temperature.
Oxygenation Capacity (OC): [ OC_s = KLa \times (C_s - C) ] (C_s) = saturation DO, (C) = actual DO.
Net Power Consumption: [ P_n = P_g \times \eta_g \times \eta_b \times \eta_m ] where (P_g) = gross power, (\eta) = efficiencies of gear, belt, motor.
Oxygenation Efficiency (OE): [ OE = \frac{OC_s}{P_n} ]
| Variable | Effect on (KLa) | Effect on ((C_s - C)) | Net Oxygenation Effect |
|---|---|---|---|
| Temperature ↑ | (KLa) ↑ | (C_s - C) ↓ (if (C > 3)) | Slight to moderate decrease |
| Circulating velocity ↑ | (KLa) ↑ | - | Increase |
| Aeration rate ↑ | (KLa), (C_s - C) ↑ | - | Increase |
| Oxygen demand ↑ | - | (C_s - C) ↑ | Increase |
| Water depth ↑ | (KLa) ↓ | (C_s - C) ↑ | Decrease |
| Soluble inorganics ↑ | (KLa), (C_s - C) ↓ | - | Decrease |
| Submergence ↑ | (KLa) ↑ (up to 10-15 cm) | - | Increase then decrease beyond limit |
| Equipment Type | Oxygen Transfer Efficiency |
|---|---|
| Porous Diffuser | 0.53 |
IS 13166: Test Procedure for Determination of Oxygenation Capacity
| Method | Formula/Equation | Remarks |
|---|---|---|
| Direct analysis | (\frac{dC}{dt} = K_L a (C_s - C)) | Plot (\frac{dC}{dt}) vs (C), slope = (K_L a) |
| Exponential curve fitting | (C = C_s \left[1 - e^{-K_L a t}\right]) | Use nonlinear least squares to find (K_L a) and (C_s) |
| Rapid estimate | (C = C_s \left[1 - e^{-K_L a t}\right]) | (C_s) must be known; estimates time constants for 63.86% and 95% saturation |
| Log-deficit method | (K_L a = \frac{\ln(C_s - C_1) - \ln(C_s - C_2)}{t_2 - t_1}) | (C_s) must be known; simple but sensitive to (C_s) accuracy |
| Linearized transformation | (C(t+h) = C(t) e^{-K_L a h} + C_s (1 - e^{-K_L a h})) | Simplest & accurate; (C_s) not required |
DO Data Truncation (Clause 5.3, Table 6):
Data normally truncated between 10-20% (lower) and 70-90% (upper) of saturation to avoid mixing errors and non-linearities.
Effect of Operating Variables on Oxygenation (Clause 4.2.2, Table 3):
| Method | Assumptions
IS 13166 Key Formulas & Tables for KLa and Cs Calculation
[ \frac{dC}{dt} = K_L a (C_s - C) ]
[ C = C_s \left[ 1 - e^{-K_L a t} \right] ]
[ K_L a = \frac{\ln (C_s - C_1) - \ln (C_s - C_2)}{t_2 - t_1} ]
[ K_L a (T) = K_L a (20^\circ C) \times \theta^{(T-20)} ]
where (\theta) depends on water temperature.
[ OC_s = K_L a \times C_s \times V ]
[ OE = \frac{OC_s}{P_n} ]
where (P_n = P_g \times \eta_g \times \eta_b \times \eta_m) (net power consumption considering gear, belt, motor efficiencies).
| Variable | Effect on (K_L a) | Effect on (C_s - C) | Net Oxygenation Effect |
|---|---|---|---|
| Temperature ↑ | (K_L a ↑) | (C_s - C ↓) | Negligible if (C < 3), decreases if (C > 3) mg/L |
| Circulating velocity ↑ | (K_L a ↑) | - | Increases |
| Aeration rate / O2 partial pressure ↑ | (K_L a ↑), (C_s - C ↑) | (C_s ↑) | Increases |
| Height of water ↑ | (K_L a ↓), (C_s - C ↑) | - | Decreases |
| Submergence ↑ (up to 10-15 cm) | (K_L a ↑) | - | Increases |
Frequently Asked
Recommended Methods for Measuring Dissolved Oxygen (DO) in Aerator Testing (IS 13166):
Winkler Titration Method
Dissolved Oxygen Probe-Meter
Sampler Rod with BOD Bottles (if DO probes unavailable)
Measurement Frequency
Data Range for Analysis
| Method | Captures Microbubbles? | Measurement Speed | Calibration Complexity |
|---|---|---|---|
| Winkler Titration | Yes | Slow | Chemical reagents, interferences possible |
| DO Probe-Meter | Partial (molecular only) | Fast | Requires temperature & pressure compensation |
| Sampler Rod + BOD Bottles | Yes | Moderate | Simple, manual sampling |
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According to IS 13166 Clause 6.5 and 2.303, water temperature affects oxygen transfer efficiency (OE) of surface aerators through the temperature coefficient (θ), which modifies the mass transfer coefficient (KLa):
Effect on KLa:
[ KLa(T) = KLa(20) \times \theta^{(T-20)} ]
Oxygenation Efficiency (OE):
[ OE = \frac{OC_s}{P_n} ]
where (OC_s = KLa \times C_{SV}) (oxygenation capacity), and (P_n) is net power consumption.
Summary:
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This approach ensures precise oxygen transfer estimation under varying temperatures.
The overall mass transfer coefficient (KLa) in IS 13166 is crucial for evaluating surface aerator performance because:
KLa is the key parameter linking aerator design, oxygen transfer, and operational efficiency, essential for optimizing aeration in wastewater treatment.
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According to IS 13166, sodium sulphite and cobalt chloride are used in aeration testing as follows:
| Chemical | Concentration/Amount | Purpose | Notes |
|---|---|---|---|
| Sodium sulphite | 1.25–2 times stoichiometric (~7.9 mg/L per mg DO) | Remove DO chemically | Fully dissolved; add at multiple points |
| Cobalt chloride | ~0.5 mg/L Co²⁺ | Catalyst for sulphite reaction | Excess cobalt may affect DO measurement |
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This ensures accurate, uniform DO depletion before aeration testing.
Effects of Aerator Submergence and Rotational Speed on Oxygenation Capacity (IS 13166 Clauses 6.8 & 6.9):
Submergence:
Rotational Speed:
Power Considerations:
| Parameter | Effect on Oxygenation Capacity (OC) | Power Implication |
|---|---|---|
| Increased Submergence | Improved oxygen transfer, better mixing | Possible power wastage if excessive |
| Increased Speed | Higher turbulence, faster oxygen transfer | Increased power consumption |
| Load Variation | Efficiency drops at low/high loads | Adjust submergence/speed accordingly |
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Optimal design balances submergence and speed to maximize oxygen transfer while minimizing power waste.
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