Energy Slope for 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%

✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope for Uniform Flow [S_f]

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Formula

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Energy Slope for Uniform Flow

Formula

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

Example

`"0.140625"=("3.0m³/s")^2/("8")^2`

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Download Indirect Methods of Streamflow Measurement Formulas PDF

Energy Slope for Uniform Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Energy Slope - 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_f = Q^2/K^2 --> 3^2/8^2

Evaluating ... ...

S_f = 0.140625

STEP 3: Convert Result to Output's Unit

0.140625 --> No Conversion Required

FINAL ANSWER

0.140625 <-- Energy Slope

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 8 Uniform Flow Calculators

Hydraulic Radius given Conveyance of Channel for Uniform Flow

Go Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2)

Area of Channel with known Conveyance of Channel

Go Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient)

Conveyance of Channel

Go Conveyance Function = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area*Hydraulic Radius^(2/3)

Conveyance of Channel given Energy Slope

Go Conveyance Function = sqrt(Discharge^2/Energy Slope)

Discharge for Uniform Flow given Energy Slope

Go Discharge = Conveyance Function*sqrt(Energy Slope)

Energy Slope for Uniform Flow

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

Length of Reach by Manning's Formula for Uniform Flow

Go Reach = Frictional Loss/Energy Slope

Frictional Loss given Energy Slope

Go Frictional Loss = Energy Slope*Reach

Energy Slope for Uniform Flow Formula

Energy Slope = Discharge^2/Conveyance Function^2
S_f = Q^2/K^2

Slope Area method for Uniform Flow in Open Channel

Slope Area method for Uniform Flow in Open Channel is when discharge is computed on the basis of a uniform flow equation involving channel characteristics, water surface profile and a roughness coefficient. The drop in water surface profile for a uniform reach of channel represents losses caused by bed roughness.

How to Calculate Energy Slope for Uniform Flow?

Energy Slope for Uniform Flow calculator uses Energy Slope = Discharge^2/Conveyance Function^2 to calculate the Energy Slope, The Energy Slope for 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. Energy Slope is denoted by S_f symbol.

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

FAQ

What is Energy Slope for Uniform Flow?

The Energy Slope for 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_f = Q^2/K^2 or 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 Energy Slope for Uniform Flow?

The Energy Slope for 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 Energy Slope = Discharge^2/Conveyance Function^2. To calculate Energy Slope for 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.

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