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Friction Slope Formula

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

S f = \frac{{Q instant}^{2}}{K^{2}}

S_f - Friction Slope?Q_instant - Instantaneous Discharge?K - Conveyance Function?

Friction Slope Example

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Here is how the Friction Slope equation looks like with Values.

Here is how the Friction Slope equation looks like with Units.

Here is how the Friction Slope equation looks like.

14.0625 = \frac{30^{2}}{8^{2}}

14.0625 = \frac{{30m³/s}^{2}}{8^{2}}

14.0625 = \frac{30^{2}}{8^{2}}

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Friction Slope Solution

Follow our step by step solution on how to calculate Friction Slope?

FIRST Step Consider the formula

S f = \frac{{Q instant}^{2}}{K^{2}}

Next Step Substitute values of Variables

∴

S f = \frac{{30m³/s}^{2}}{8^{2}}

Next Step Prepare to Evaluate

∴

S f = \frac{30^{2}}{8^{2}}

LAST Step Evaluate

∴

S f = 14.0625

Friction Slope Formula Elements

Variables

Friction Slope

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

Symbol: S_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Slope

Instantaneous Discharge

Instantaneous Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.

Symbol: Q_instant

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Instantaneous Discharge

Conveyance Function

Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Conveyance Function

Other formulas in Intermediate and High Flows category

Go Conveyance Function Determined by Manning's Law

K = (\frac{1}{n}) \cdot \frac{{(A)}^{\frac{5}{3}}}{{(P)}^{\frac{2}{3}}}

Go Cross-sectional Area using Manning's Law

A = {(K \cdot n \cdot P^{\frac{2}{3}})}^{\frac{3}{5}}

Go Wetted Perimeter from Manning's Law

P = {((\frac{1}{n}) \cdot (\frac{A^{\frac{5}{3}}}{K}))}^{\frac{3}{2}}

Go Instantaneous Discharge given Friction Slope

Q instant = \sqrt{S f \cdot K^{2}}

How to Evaluate Friction Slope?

Friction Slope evaluator uses Friction Slope = Instantaneous Discharge^2/Conveyance Function^2 to evaluate 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 evaluate Friction Slope using this online evaluator? To use this online evaluator for Friction Slope, enter Instantaneous Discharge (Q_instant) & Conveyance Function (K) and hit the calculate button.

FAQs on Friction Slope

What is the formula to find Friction Slope?

The formula of Friction Slope is expressed as Friction Slope = Instantaneous Discharge^2/Conveyance Function^2. Here is an example- 14.0625 = 30^2/8^2.

How to calculate Friction Slope?

With Instantaneous Discharge (Q_instant) & Conveyance Function (K) we can find Friction Slope using the formula - Friction Slope = Instantaneous Discharge^2/Conveyance Function^2.

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