Friction Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Friction Slope = Instantaneous Discharge^2/Conveyance Function^2
Sf = Qinstant^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
Sf = Qinstant^2/K^2 --> 30^2/8^2
Evaluating ... ...
Sf = 14.0625
STEP 3: Convert Result to Output's Unit
14.0625 --> No Conversion Required
FINAL ANSWER
14.0625 <-- Friction Slope
(Calculation completed in 00.004 seconds)

Credits

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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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

Friction Slope Formula

Friction Slope = Instantaneous Discharge^2/Conveyance Function^2
Sf = Qinstant^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 Sf symbol.

How to calculate Friction Slope using this online calculator? To use this online calculator for Friction Slope, enter Instantaneous Discharge (Qinstant) & 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 Sf = Qinstant^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 (Qinstant) & 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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