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Length of Reach by Manning's Formula for Uniform Flow Formula

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Reach in practical use is any length of a stream or river. The term is often used when referring to a small section of a stream or river rather than its entire length. Check FAQs

L = \frac{h f}{S f}

L - Reach?h_f - Frictional Loss?S_f - Energy Slope?

Length of Reach by Manning's Formula for Uniform Flow Example

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Here is how the Length of Reach by Manning's Formula for Uniform Flow equation looks like with Values.

Here is how the Length of Reach by Manning's Formula for Uniform Flow equation looks like with Units.

Here is how the Length of Reach by Manning's Formula for Uniform Flow equation looks like.

107.1429 = \frac{15}{0.14}

107.1429m = \frac{15}{0.14}

107.1429 = \frac{15}{0.14}

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Length of Reach by Manning's Formula for Uniform Flow Solution

Follow our step by step solution on how to calculate Length of Reach by Manning's Formula for Uniform Flow?

FIRST Step Consider the formula

L = \frac{h f}{S f}

Next Step Substitute values of Variables

∴

L = \frac{15}{0.14}

Next Step Prepare to Evaluate

∴

L = \frac{15}{0.14}

Next Step Evaluate

∴

L = 107.142857142857m

LAST Step Rounding Answer

∴

L = 107.1429m

Length of Reach by Manning's Formula for Uniform Flow Formula Elements

Variables

Reach

Reach in practical use is any length of a stream or river. The term is often used when referring to a small section of a stream or river rather than its entire length.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Reach

Frictional Loss

Frictional Loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Frictional Loss

Energy Slope

Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

Symbol: S_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Slope

Other formulas in Uniform Flow category

Go Frictional Loss given Energy Slope

h f = S f \cdot L

Go Energy Slope for Uniform Flow

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

Go Conveyance of Channel given Energy Slope

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

Go Discharge for Uniform Flow given Energy Slope

Q = K \cdot \sqrt{S f}

How to Evaluate Length of Reach by Manning's Formula for Uniform Flow?

Length of Reach by Manning's Formula for Uniform Flow evaluator uses Reach = Frictional Loss/Energy Slope to evaluate the Reach, The Length of Reach by Manning's Formula for Uniform Flow formula is defined as the length of the channel uniform concerning discharge, depth, area, and slope. The length of a channel for which a single gauge affords a satisfactory measure of the stage and discharge. Reach is denoted by L symbol.

How to evaluate Length of Reach by Manning's Formula for Uniform Flow using this online evaluator? To use this online evaluator for Length of Reach by Manning's Formula for Uniform Flow, enter Frictional Loss (h_f) & Energy Slope (S_f) and hit the calculate button.

FAQs on Length of Reach by Manning's Formula for Uniform Flow

What is the formula to find Length of Reach by Manning's Formula for Uniform Flow?

The formula of Length of Reach by Manning's Formula for Uniform Flow is expressed as Reach = Frictional Loss/Energy Slope. Here is an example- 107.1429 = 15/0.14.

How to calculate Length of Reach by Manning's Formula for Uniform Flow?

With Frictional Loss (h_f) & Energy Slope (S_f) we can find Length of Reach by Manning's Formula for Uniform Flow using the formula - Reach = Frictional Loss/Energy Slope.

Can the Length of Reach by Manning's Formula for Uniform Flow be negative?

Yes, the Length of Reach by Manning's Formula for Uniform Flow, measured in Length can be negative.

Which unit is used to measure Length of Reach by Manning's Formula for Uniform Flow?

Length of Reach by Manning's Formula for Uniform Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Reach by Manning's Formula for Uniform Flow can be measured.

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