DO Deficit using Streeter-Phelps Equation Calculator

✖Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.ⓘ Deoxygenation Constant [K_D]			+10% -10%
✖Organic Matter at Start is the total organic matter present in the sewage at the start of the BOD reaction.ⓘ Organic Matter at Start [L]			+10% -10%
✖Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.ⓘ Reoxygenation coefficient [K_R]			+10% -10%
✖Time in days is the time calculated in days.ⓘ Time in days [t]			+10% -10%
✖Initial oxygen deficit is the amount of oxygen required at initial levels.ⓘ Initial oxygen deficit [D_o]			+10% -10%

✖Oxygen Deficit is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady-state work at that same rate.ⓘ DO Deficit using Streeter-Phelps Equation [D]

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DO Deficit using Streeter-Phelps Equation

Formula

`"D" = ("K"_{"D"}*"L"/("K"_{"R"}-"K"_{"D"}))*(10^(-"K"_{"D"}*"t")-10^(-"K"_{"R"}*"t")+"D"_{"o"}*10^(-"K"_{"R"}*"t"))`

Example

`"6.671283mg/L"=("0.23d⁻¹"*"40mg/L"/("0.1d⁻¹"-"0.23d⁻¹"))*(10^(-"0.23d⁻¹"*"10d")-10^(-"0.1d⁻¹"*"10d")+"7.2mg/L"*10^(-"0.1d⁻¹"*"10d"))`

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DO Deficit using Streeter-Phelps Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))
D = (K_D*L/(K_R-K_D))*(10^(-K_D*t)-10^(-K_R*t)+D_o*10^(-K_R*t))
This formula uses 6 Variables

Variables Used

Oxygen Deficit - (Measured in Kilogram per Cubic Meter) - Oxygen Deficit is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady-state work at that same rate.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
Organic Matter at Start - (Measured in Kilogram per Cubic Meter) - Organic Matter at Start is the total organic matter present in the sewage at the start of the BOD reaction.
Reoxygenation coefficient - (Measured in 1 Per Second) - Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.
Time in days - (Measured in Second) - Time in days is the time calculated in days.
Initial oxygen deficit - (Measured in Kilogram per Cubic Meter) - Initial oxygen deficit is the amount of oxygen required at initial levels.

STEP 1: Convert Input(s) to Base Unit

Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Organic Matter at Start: 40 Milligram per Liter --> 0.04 Kilogram per Cubic Meter (Check conversion here)
Reoxygenation coefficient: 0.1 1 Per Day --> 1.15740740740741E-06 1 Per Second (Check conversion here)
Time in days: 10 Day --> 864000 Second (Check conversion here)
Initial oxygen deficit: 7.2 Milligram per Liter --> 0.0072 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (K_D*L/(K_R-K_D))*(10^(-K_D*t)-10^(-K_R*t)+D_o*10^(-K_R*t)) --> (2.66203703703704E-06*0.04/(1.15740740740741E-06-2.66203703703704E-06))*(10^(-2.66203703703704E-06*864000)-10^(-1.15740740740741E-06*864000)+0.0072*10^(-1.15740740740741E-06*864000))

Evaluating ... ...

D = 0.00667128288081763

STEP 3: Convert Result to Output's Unit

0.00667128288081763 Kilogram per Cubic Meter -->6.67128288081763 Milligram per Liter (Check conversion here)

FINAL ANSWER

6.67128288081763 ≈ 6.671283 Milligram per Liter <-- Oxygen Deficit

(Calculation completed in 00.008 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 5 Oxygen Deficit Calculators

DO Deficit using Streeter-Phelps Equation

Go Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))

Initial Oxygen Deficit in First Stage Equation

Go Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1))

Oxygen Deficit given Critical Time in Self Purification Factor

Go Critical oxygen deficit = (Oxygen Equivalent/(Self purification constant-1))*(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))

Log value of Critical Oxygen Deficit

Go Critical oxygen deficit = 10^(log10(Oxygen Equivalent/Self purification constant)-(Deoxygenation Constant*Critical time))

Oxygen Deficit

Go Oxygen Deficit = Saturated Dissolved Oxygen-Actual Dissolved Oxygen

DO Deficit using Streeter-Phelps Equation Formula

What is Streeter Phelps equation?

The Streeter–Phelps equation is used in the study of water pollution as a water quality modelling tool. The model describes how dissolved oxygen decreases in a river or stream along a certain distance by degradation of biochemical oxygen demand.

How to Calculate DO Deficit using Streeter-Phelps Equation?

DO Deficit using Streeter-Phelps Equation calculator uses Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)) to calculate the Oxygen Deficit, The DO Deficit using Streeter-Phelps Equation is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady state work at that same rate. Oxygen Deficit is denoted by D symbol.

How to calculate DO Deficit using Streeter-Phelps Equation using this online calculator? To use this online calculator for DO Deficit using Streeter-Phelps Equation, enter Deoxygenation Constant (K_D), Organic Matter at Start (L), Reoxygenation coefficient (K_R), Time in days (t) & Initial oxygen deficit (D_o) and hit the calculate button. Here is how the DO Deficit using Streeter-Phelps Equation calculation can be explained with given input values -> 6671.283 = (2.66203703703704E-06*0.04/(1.15740740740741E-06-2.66203703703704E-06))*(10^(-2.66203703703704E-06*864000)-10^(-1.15740740740741E-06*864000)+0.0072*10^(-1.15740740740741E-06*864000)).

FAQ

What is DO Deficit using Streeter-Phelps Equation?

The DO Deficit using Streeter-Phelps Equation is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady state work at that same rate and is represented as D = (K_D*L/(K_R-K_D))*(10^(-K_D*t)-10^(-K_R*t)+D_o*10^(-K_R*t)) or Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)). Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage, Organic Matter at Start is the total organic matter present in the sewage at the start of the BOD reaction, Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient, Time in days is the time calculated in days & Initial oxygen deficit is the amount of oxygen required at initial levels.

How to calculate DO Deficit using Streeter-Phelps Equation?

The DO Deficit using Streeter-Phelps Equation is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady state work at that same rate is calculated using Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)). To calculate DO Deficit using Streeter-Phelps Equation, you need Deoxygenation Constant (K_D), Organic Matter at Start (L), Reoxygenation coefficient (K_R), Time in days (t) & Initial oxygen deficit (D_o). With our tool, you need to enter the respective value for Deoxygenation Constant, Organic Matter at Start, Reoxygenation coefficient, Time in days & Initial oxygen deficit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Oxygen Deficit?

In this formula, Oxygen Deficit uses Deoxygenation Constant, Organic Matter at Start, Reoxygenation coefficient, Time in days & Initial oxygen deficit. We can use 1 other way(s) to calculate the same, which is/are as follows -

Oxygen Deficit = Saturated Dissolved Oxygen-Actual Dissolved Oxygen

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