Average Energy Slope given Average Conveyance for Non-Uniform Flow Calculator

✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [Q]			+10% -10%
✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+10% -10%

✖Average Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Average Energy Slope given Average Conveyance for Non-Uniform Flow [S_favg]

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Formula

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Average Energy Slope given Average Conveyance for Non-Uniform Flow

Formula

`"S"_{"favg"} = "Q"^2/"K"^2`

Example

`"0.140625"=("3.0m³/s")^2/("8")^2`

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Average Energy Slope given Average Conveyance for Non-Uniform Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Energy Slope = Discharge^2/Conveyance Function^2
S_favg = Q^2/K^2
This formula uses 3 Variables

Variables Used

Average Energy Slope - Average Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Conveyance Function - Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

STEP 1: Convert Input(s) to Base Unit

Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Conveyance Function: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_favg = Q^2/K^2 --> 3^2/8^2

Evaluating ... ...

S_favg = 0.140625

STEP 3: Convert Result to Output's Unit

0.140625 --> No Conversion Required

FINAL ANSWER

0.140625 <-- Average Energy Slope

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 13 Non-Uniform Flow Calculators

Conveyance of Channel at End Sections at 1

Go Conveyance of Channel at End Sections at (1) = (1/Manning’s Roughness Coefficient)*Area of Channel Section 1*Hydraulics Radius of Channel Section 1^(2/3)

Conveyance of Channel at End Sections at 2

Go Conveyance of Channel at End Sections at (2) = (1/Manning’s Roughness Coefficient)*Area of Channel Section 2*Hydraulics Radius of Channel Section 2^(2/3)

Area of Channel with known Conveyance of Channel at Section 1

Go Area of Channel Section 1 = (Conveyance of Channel at End Sections at (1)*Manning’s Roughness Coefficient)/Hydraulics Radius of Channel Section 1^(2/3)

Area of Channel with known Conveyance of Channel at Section 2

Go Area of Channel Section 2 = (Conveyance of Channel at End Sections at (2)*Manning’s Roughness Coefficient)/Hydraulics Radius of Channel Section 2^(2/3)

Average Conveyance of Channel for Non-Uniform Flow

Go Average Conveyance of Channel = sqrt(Conveyance of Channel at End Sections at (1)*Conveyance of Channel at End Sections at (2))

Conveyance of Channel for Non-Uniform Flow for End Sections

Go Conveyance of Channel at End Sections at (1) = Average Conveyance of Channel^2/Conveyance of Channel at End Sections at (2)

Conveyance of Channel for Non-Uniform Flow for End Section

Go Conveyance of Channel at End Sections at (2) = Average Conveyance of Channel^2/Conveyance of Channel at End Sections at (1)

Conveyance of Channel given Discharge in Non-Uniform Flow

Go Conveyance Function = Discharge/sqrt(Average Energy Slope)

Discharge in Non-Uniform Flow by Conveyance Method

Go Discharge = Conveyance Function*sqrt(Average Energy Slope)

Average Energy Slope given Average Conveyance for Non-Uniform Flow

Go Average Energy Slope = Discharge^2/Conveyance Function^2

Length of Reach given Average Energy Slope for Non-Uniform Flow

Go Reach = Frictional Loss/Average Energy Slope

Frictional Loss given Average Energy Slope

Go Frictional Loss = Average Energy Slope*Reach

Average Energy Slope given Frictional Loss

Go Average Energy Slope = Frictional Loss/Reach

Average Energy Slope given Average Conveyance for Non-Uniform Flow Formula

Average Energy Slope = Discharge^2/Conveyance Function^2
S_favg = Q^2/K^2

What is conveyance method of discharge measurement?

A slope-conveyance is one of the simpler methods of computing open channel flow, and it involves applying Manning's equation to a single cross section.

What is non-uniform flow?

Flow is said to be non-uniform, when there is a change in the velocity of the flow at different points in a flowing fluid, for a given time. For example, the flow of liquids under pressure through long pipelines of varying diameters is referred to as non-uniform flow.

How to Calculate Average Energy Slope given Average Conveyance for Non-Uniform Flow?

Average Energy Slope given Average Conveyance for Non-Uniform Flow calculator uses Average Energy Slope = Discharge^2/Conveyance Function^2 to calculate the Average Energy Slope, The Average Energy Slope given Average Conveyance for Non-Uniform Flow formula is defined as the distance equal to the velocity head above the hydraulic gradient. In both open and pipe flow the fall of the energy gradient for a given length of channel or pipe represents the loss of energy by friction. Average Energy Slope is denoted by S_favg symbol.

How to calculate Average Energy Slope given Average Conveyance for Non-Uniform Flow using this online calculator? To use this online calculator for Average Energy Slope given Average Conveyance for Non-Uniform Flow, enter Discharge (Q) & Conveyance Function (K) and hit the calculate button. Here is how the Average Energy Slope given Average Conveyance for Non-Uniform Flow calculation can be explained with given input values -> 0.140625 = 3^2/8^2.

FAQ

What is Average Energy Slope given Average Conveyance for Non-Uniform Flow?

The Average Energy Slope given Average Conveyance for Non-Uniform Flow formula is defined as the distance equal to the velocity head above the hydraulic gradient. In both open and pipe flow the fall of the energy gradient for a given length of channel or pipe represents the loss of energy by friction and is represented as S_favg = Q^2/K^2 or Average Energy Slope = Discharge^2/Conveyance Function^2. Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material & Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

How to calculate Average Energy Slope given Average Conveyance for Non-Uniform Flow?

The Average Energy Slope given Average Conveyance for Non-Uniform Flow formula is defined as the distance equal to the velocity head above the hydraulic gradient. In both open and pipe flow the fall of the energy gradient for a given length of channel or pipe represents the loss of energy by friction is calculated using Average Energy Slope = Discharge^2/Conveyance Function^2. To calculate Average Energy Slope given Average Conveyance for Non-Uniform Flow, you need Discharge (Q) & Conveyance Function (K). With our tool, you need to enter the respective value for Discharge & Conveyance Function 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 Average Energy Slope?

In this formula, Average Energy Slope uses Discharge & Conveyance Function. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Energy Slope = Frictional Loss/Reach

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