Friction Slope Calculator

✖Instantaneous Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.ⓘ Instantaneous Discharge [Q_instant]			+10% -10%
✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+10% -10%

✖Friction Slope is the rate at which energy is lost along a given length of channel.ⓘ Friction Slope [S_f]

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Friction Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Slope = Instantaneous Discharge^2/Conveyance Function^2
S_f = Q_instant^2/K^2
This formula uses 3 Variables

Variables Used

Friction Slope - Friction Slope is the rate at which energy is lost along a given length of channel.
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.
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

Instantaneous Discharge: 30 Cubic Meter per Second --> 30 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_instant^2/K^2 --> 30^2/8^2

Evaluating ... ...

S_f = 14.0625

STEP 3: Convert Result to Output's Unit

14.0625 --> No Conversion Required

FINAL ANSWER

14.0625 <-- Friction Slope

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

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< Intermediate and High Flows Calculators

Conveyance Function Determined by Manning's Law

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

Wetted Perimeter from Manning's Law

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

Cross-sectional Area using Manning's Law

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

Friction Slope

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

Friction Slope Formula

LaTeX Go

Friction Slope = Instantaneous Discharge^2/Conveyance Function^2
S_f = Q_instant^2/K^2

What is Friction Slope?

The rate at which energy is lost along a given length of channel is called the friction slope, 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 Friction Slope?

Friction Slope calculator uses Friction Slope = Instantaneous Discharge^2/Conveyance Function^2 to calculate the Friction Slope, The Friction Slope formula is defined as the rate at which energy is lost along a given length of channel is called the friction slope. Friction Slope is denoted by S_f symbol.

How to calculate Friction Slope using this online calculator? To use this online calculator for Friction Slope, enter Instantaneous Discharge (Q_instant) & Conveyance Function (K) and hit the calculate button. Here is how the Friction Slope calculation can be explained with given input values -> 14.0625 = 30^2/8^2.

FAQ

What is Friction Slope?

The Friction Slope formula is defined as the rate at which energy is lost along a given length of channel is called the friction slope and is represented as S_f = Q_instant^2/K^2 or Friction Slope = Instantaneous Discharge^2/Conveyance Function^2. Instantaneous Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area & Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

How to calculate Friction Slope?

The Friction Slope formula is defined as the rate at which energy is lost along a given length of channel is called the friction slope is calculated using Friction Slope = Instantaneous Discharge^2/Conveyance Function^2. To calculate Friction Slope, you need Instantaneous Discharge (Q_instant) & Conveyance Function (K). With our tool, you need to enter the respective value for Instantaneous 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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