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Instantaneous Discharge given Friction Slope Formula

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

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

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

Instantaneous Discharge given Friction Slope Example

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

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

Here is how the Instantaneous Discharge given Friction Slope equation looks like.

29.9333 = \sqrt{14 \cdot 8^{2}}

29.9333m³/s = \sqrt{14 \cdot 8^{2}}

29.9333 = \sqrt{14 \cdot 8^{2}}

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Instantaneous Discharge given Friction Slope Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q instant = \sqrt{14 \cdot 8^{2}}

Next Step Prepare to Evaluate

∴

Q instant = \sqrt{14 \cdot 8^{2}}

Next Step Evaluate

∴

Q instant = 29.9332590941915m³/s

LAST Step Rounding Answer

∴

Q instant = 29.9333m³/s

Instantaneous Discharge given Friction Slope Formula Elements

Variables

Functions

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

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

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

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.

Syntax: sqrt(Number)

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 Friction Slope

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

How to Evaluate Instantaneous Discharge given Friction Slope?

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

FAQs on Instantaneous Discharge given Friction Slope

What is the formula to find Instantaneous Discharge given Friction Slope?

The formula of Instantaneous Discharge given Friction Slope is expressed as Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2). Here is an example- 29.93326 = sqrt(14*8^2).

How to calculate Instantaneous Discharge given Friction Slope?

With Friction Slope (S_f) & Conveyance Function (K) we can find Instantaneous Discharge given Friction Slope using the formula - Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2). This formula also uses Square Root (sqrt) function(s).

Can the Instantaneous Discharge given Friction Slope be negative?

No, the Instantaneous Discharge given Friction Slope, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Instantaneous Discharge given Friction Slope?

Instantaneous Discharge given Friction Slope is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Instantaneous Discharge given Friction Slope can be measured.

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