Instantaneous Discharge given Friction Slope Calculator

✖Friction Slope is the rate at which energy is lost along a given length of channel.ⓘ Friction Slope [S_f]			+10% -10%
✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+10% -10%

✖Instantaneous Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.ⓘ Instantaneous Discharge given Friction Slope [Q_instant]

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Formula

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Instantaneous Discharge given Friction Slope

Formula

`"Q"_{"instant"} = sqrt("S"_{"f"}*"K"^2)`

Example

`"29.93326m³/s"=sqrt("14"*("8")^2)`

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Instantaneous Discharge given Friction Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2)
Q_instant = sqrt(S_f*K^2)
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

Instantaneous Discharge - (Measured in Cubic Meter per Second) - Instantaneous Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.
Friction Slope - Friction Slope is the rate at which energy is lost along a given length of channel.
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

Friction Slope: 14 --> No Conversion Required
Conveyance Function: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_instant = sqrt(S_f*K^2) --> sqrt(14*8^2)

Evaluating ... ...

Q_instant = 29.9332590941915

STEP 3: Convert Result to Output's Unit

29.9332590941915 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

29.9332590941915 ≈ 29.93326 Cubic Meter per Second <-- Instantaneous Discharge

(Calculation completed in 00.004 seconds)

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< 8 Intermediate and High Flows Calculators

Conveyance Function Determined by Manning's Law

Go Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3)

Wetted Perimeter from Manning's Law

Go Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2)

Cross-sectional Area using Manning's Law

Go Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5)

Cross-sectional Area using Chezy's Law

Go Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)

Conveyance Function determined by Chezy's Law

Go Conveyance Function = Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Wetted Perimeter^(1/2))

Wetted Perimeter using Chezy's Law

Go Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2

Instantaneous Discharge given Friction Slope

Go Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2)

Friction Slope

Go Friction Slope = Instantaneous Discharge^2/Conveyance Function^2

Instantaneous Discharge given Friction Slope Formula

Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2)
Q_instant = sqrt(S_f*K^2)

What is Friction Slope?

Friction Slope is the rate at which energy is lost along a given length of channel and is usually presented as a unitless value or in units of length per length (ft/ft, m/m, etc.). Energy is generally added to a system with a device such as a pump.

How to Calculate Instantaneous Discharge given Friction Slope?

Instantaneous Discharge given Friction Slope calculator uses Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2) to calculate the Instantaneous Discharge, The Instantaneous Discharge given Friction Slope formula is defined as the parameters of friction slope and conveyance function K to determine the discharge Q. Instantaneous Discharge is denoted by Q_instant symbol.

How to calculate Instantaneous Discharge given Friction Slope using this online calculator? To use this online calculator for Instantaneous Discharge given Friction Slope, enter Friction Slope (S_f) & Conveyance Function (K) and hit the calculate button. Here is how the Instantaneous Discharge given Friction Slope calculation can be explained with given input values -> 29.93326 = sqrt(14*8^2).

FAQ

What is Instantaneous Discharge given Friction Slope?

The Instantaneous Discharge given Friction Slope formula is defined as the parameters of friction slope and conveyance function K to determine the discharge Q and is represented as Q_instant = sqrt(S_f*K^2) or Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2). Friction Slope is the rate at which energy is lost along a given length of channel & Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

How to calculate Instantaneous Discharge given Friction Slope?

The Instantaneous Discharge given Friction Slope formula is defined as the parameters of friction slope and conveyance function K to determine the discharge Q is calculated using Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2). To calculate Instantaneous Discharge given Friction Slope, you need Friction Slope (S_f) & Conveyance Function (K). With our tool, you need to enter the respective value for Friction Slope & 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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