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Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator

Easily calculate and compute streeter-phelps river dissolved oxygen sag & critical deficit calculator with accurate equations, live formulas, and expert guidance.

Equilibrium dissolved oxygen at water temperature.

Deficit immediately after wastewater discharge mixing.

Organic load (ultimate biochemical oxygen demand).

Microbial carbonaceous BOD decay constant.

Atmospheric oxygen transfer rate coefficient.

River water transit time to evaluation point.

Calculated Result
3.52 mg/L

Dissolved Oxygen (DO)

Dissolved Oxygen (DO)

3.52 mg/L

Dissolved Oxygen At Point Mg L

3.52

Oxygen Deficit At Point Mg L

5.68

Critical Time Days Tc

1.93

Critical Minimum D O Mg L

3.51

3.52 — mg/L

Calculation Breakdown

  1. Applied FormulaModels river dissolved oxygen depletion and downstream recovery sag curve following effluent discharge under organic pollutant loading.t_c = \frac{1}{k_a - k_d} \ln\left[\frac{k_a}{k_d} \left(1 - D_0 \frac{k_a - k_d}{k_d L_0}\right)\right]

Streeter-Phelps DO Sag Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.91.82.63.5Dissolved Oxygen (DO)

What Is the Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator?

This tool computes streeter-phelps river dissolved oxygen sag & critical deficit calculator with high precision arithmetic.

How Does the Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator Work?

Models river dissolved oxygen depletion and downstream recovery sag curve following effluent discharge under organic pollutant loading.

Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

tc=1ka−kdln⁡[kakd(1−D0ka−kdkdL0)]t_c = \frac{1}{k_a - k_d} \ln\left[\frac{k_a}{k_d} \left(1 - D_0 \frac{k_a - k_d}{k_d L_0}\right)\right]

Models river dissolved oxygen depletion and downstream recovery sag curve following effluent discharge under organic pollutant loading.

How to Use the Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Streeter-Phelps River Dissolved Oxygen Sag & Critical Deficit Calculator Example

Input Values:

saturationDOCncMgL:9.2
initialDODeficitD0MgL:2.5
initialUltimateBODL0MgL:24.0
deoxygenationRateK1Day:0.25
reaerationRateK2Day:0.65
travelTimeDaysT:1.8
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mg/L.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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