Discharge for Uniform Flow given Energy Slope Calculator

✖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 [S_f]			+10% -10%

✖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 for Uniform Flow given Energy Slope [Q]

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Formula

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Discharge for Uniform Flow given Energy Slope

Formula

`"Q" = "K"*sqrt("S"_{"f"})`

Example

`"2.993326m³/s"="8"*sqrt("0.140")`

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Discharge for Uniform Flow given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = Conveyance Function*sqrt(Energy Slope)
Q = K*sqrt(S_f)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

STEP 1: Convert Input(s) to Base Unit

Conveyance Function: 8 --> No Conversion Required
Energy Slope: 0.14 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = K*sqrt(S_f) --> 8*sqrt(0.14)

Evaluating ... ...

Q = 2.99332590941915

STEP 3: Convert Result to Output's Unit

2.99332590941915 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.99332590941915 ≈ 2.993326 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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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

Discharge for Uniform Flow given Energy Slope Formula

Discharge = Conveyance Function*sqrt(Energy Slope)
Q = K*sqrt(S_f)

What is 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 Discharge for Uniform Flow given Energy Slope?

Discharge for Uniform Flow given Energy Slope calculator uses Discharge = Conveyance Function*sqrt(Energy Slope) to calculate the Discharge, The Discharge for Uniform Flow given Energy Slope formula is defined as the measure of the quantity of any fluid flow over a unit of time where fluid flows into different parts of the fracture surface with equal flow velocity per unit area. Discharge is denoted by Q symbol.

How to calculate Discharge for Uniform Flow given Energy Slope using this online calculator? To use this online calculator for Discharge for Uniform Flow given Energy Slope, enter Conveyance Function (K) & Energy Slope (S_f) and hit the calculate button. Here is how the Discharge for Uniform Flow given Energy Slope calculation can be explained with given input values -> 2.993326 = 8*sqrt(0.14).

FAQ

What is Discharge for Uniform Flow given Energy Slope?

The Discharge for Uniform Flow given Energy Slope formula is defined as the measure of the quantity of any fluid flow over a unit of time where fluid flows into different parts of the fracture surface with equal flow velocity per unit area and is represented as Q = K*sqrt(S_f) or Discharge = Conveyance Function*sqrt(Energy Slope). Conveyance Function on stage at a section may be determined empirically or by a standard friction law & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

How to calculate Discharge for Uniform Flow given Energy Slope?

The Discharge for Uniform Flow given Energy Slope formula is defined as the measure of the quantity of any fluid flow over a unit of time where fluid flows into different parts of the fracture surface with equal flow velocity per unit area is calculated using Discharge = Conveyance Function*sqrt(Energy Slope). To calculate Discharge for Uniform Flow given Energy Slope, you need Conveyance Function (K) & Energy Slope (S_f). With our tool, you need to enter the respective value for Conveyance Function & Energy Slope 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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