Discharge for Rectangular Channel Section Calculator

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Parabolic Grit Chamber Parshall Flume

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Discharge in Channel Critical Depth Critical Velocity Depth of Channel Width of Channel

✖Area of Cross Section is when a plane cuts a solid object, an area is projected onto the plane.ⓘ Area of Cross Section [A_cs]			+10% -10%
✖Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius [R]			+10% -10%
✖Slope of Bed is the inclination or gradient of a channel or riverbed along its length.ⓘ Slope of Bed [i]			+10% -10%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Discharge for Rectangular Channel Section [Q_e]

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Formula

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Discharge for Rectangular Channel Section

Formula

Q e = A cs \cdot (R^{\frac{2}{3}}) \cdot \frac{i^{\frac{1}{2}}}{n}

Example

46.2992 m³/s = 3.5 m² \cdot ({2.000 m}^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

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Discharge for Rectangular Channel Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient
Q_e = A_cs*(R^(2/3))*(i^(1/2))/n
This formula uses 5 Variables

Variables Used

Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Area of Cross Section - (Measured in Square Meter) - Area of Cross Section is when a plane cuts a solid object, an area is projected onto the plane.
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Slope of Bed - Slope of Bed is the inclination or gradient of a channel or riverbed along its length.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

STEP 1: Convert Input(s) to Base Unit

Area of Cross Section: 3.5 Square Meter --> 3.5 Square Meter No Conversion Required
Hydraulic Radius: 2 Meter --> 2 Meter No Conversion Required
Slope of Bed: 0.01 --> No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_e = A_cs*(R^(2/3))*(i^(1/2))/n --> 3.5*(2^(2/3))*(0.01^(1/2))/0.012

Evaluating ... ...

Q_e = 46.2991973490725

STEP 3: Convert Result to Output's Unit

46.2991973490725 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

46.2991973490725 ≈ 46.2992 Cubic Meter per Second <-- Environmental Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Constant Velocity Horizontal Flow Grit Channels » Design of Parabolic Grit Chamber » Parabolic Grit Chamber » Discharge in Channel » Discharge for Rectangular Channel Section

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< 5 Discharge in Channel Calculators

Discharge for Rectangular Channel Section

Go Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient

Discharge Coefficient with known Discharge

Go Discharge Coefficient = -log(Theoretical Discharge/Integration Constant,Depth)

Discharge Passing through Parshall Flume given Discharge Coefficient

Go Environmental Discharge = Integration Constant*(Depth)^(Discharge Coefficient)

Discharge through Control Section

Go Environmental Discharge = Width of Throat*Critical Velocity*Critical Depth

Discharge given Flow Area of Throat

Go Environmental Discharge = Flow Area of Throat*Critical Velocity

Discharge for Rectangular Channel Section Formula

Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient
Q_e = A_cs*(R^(2/3))*(i^(1/2))/n

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge for Rectangular Channel Section?

Discharge for Rectangular Channel Section calculator uses Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient to calculate the Environmental Discharge, The Discharge for Rectangular Channel Section formula is defined as the measure of the value of the volume of water flowing through a section of the channel per unit of time. Environmental Discharge is denoted by Q_e symbol.

How to calculate Discharge for Rectangular Channel Section using this online calculator? To use this online calculator for Discharge for Rectangular Channel Section, enter Area of Cross Section (A_cs), Hydraulic Radius (R), Slope of Bed (i) & Manning’s Roughness Coefficient (n) and hit the calculate button. Here is how the Discharge for Rectangular Channel Section calculation can be explained with given input values -> 46.2992 = 3.5*(2^(2/3))*(0.01^(1/2))/0.012.

FAQ

What is Discharge for Rectangular Channel Section?

The Discharge for Rectangular Channel Section formula is defined as the measure of the value of the volume of water flowing through a section of the channel per unit of time and is represented as Q_e = A_cs*(R^(2/3))*(i^(1/2))/n or Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient. Area of Cross Section is when a plane cuts a solid object, an area is projected onto the plane, Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit, Slope of Bed is the inclination or gradient of a channel or riverbed along its length & Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

How to calculate Discharge for Rectangular Channel Section?

The Discharge for Rectangular Channel Section formula is defined as the measure of the value of the volume of water flowing through a section of the channel per unit of time is calculated using Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient. To calculate Discharge for Rectangular Channel Section, you need Area of Cross Section (A_cs), Hydraulic Radius (R), Slope of Bed (i) & Manning’s Roughness Coefficient (n). With our tool, you need to enter the respective value for Area of Cross Section, Hydraulic Radius, Slope of Bed & Manning’s Roughness Coefficient 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 Environmental Discharge?

In this formula, Environmental Discharge uses Area of Cross Section, Hydraulic Radius, Slope of Bed & Manning’s Roughness Coefficient. We can use 4 other way(s) to calculate the same, which is/are as follows -

Environmental Discharge = Integration Constant*(Depth)^(Discharge Coefficient)
Environmental Discharge = Width of Throat*Critical Velocity*Critical Depth
Environmental Discharge = Flow Area of Throat*Critical Velocity
Environmental Discharge = sqrt(((Critical Depth)^3)*Acceleration due to Gravity*(Width of Throat)^2)

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