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

✖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.ⓘ Frictional Loss [h_f]			+10% -10%
✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+10% -10%

✖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.ⓘ Length of Reach by Manning's Formula for Uniform Flow [L]

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Length of Reach by Manning's Formula for Uniform Flow

Formula

`"L" = "h"_{"f"}/"S"_{"f"}`

Example

`"107.1429m"="15"/"0.140"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Reach = Frictional Loss/Energy Slope
L = h_f/S_f
This formula uses 3 Variables

Variables Used

Reach - (Measured in Meter) - 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.
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.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

STEP 1: Convert Input(s) to Base Unit

Frictional Loss: 15 --> No Conversion Required
Energy Slope: 0.14 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = h_f/S_f --> 15/0.14

Evaluating ... ...

L = 107.142857142857

STEP 3: Convert Result to Output's Unit

107.142857142857 Meter --> No Conversion Required

FINAL ANSWER

107.142857142857 ≈ 107.1429 Meter <-- Reach

(Calculation completed in 00.004 seconds)

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< 8 Uniform Flow Calculators

Hydraulic Radius given Conveyance of Channel for Uniform Flow

Go Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2)

Area of Channel with known Conveyance of Channel

Go Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient)

Conveyance of Channel

Go Conveyance Function = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area*Hydraulic Radius^(2/3)

Conveyance of Channel given Energy Slope

Go Conveyance Function = sqrt(Discharge^2/Energy Slope)

Discharge for Uniform Flow given Energy Slope

Go Discharge = Conveyance Function*sqrt(Energy Slope)

Energy Slope for Uniform Flow

Go Energy Slope = Discharge^2/Conveyance Function^2

Length of Reach by Manning's Formula for Uniform Flow

Go Reach = Frictional Loss/Energy Slope

Frictional Loss given Energy Slope

Go Frictional Loss = Energy Slope*Reach

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

Reach = Frictional Loss/Energy Slope
L = h_f/S_f

What is Slope Area Method for Uniform Flow in Open Channel?

In Slope Area Method for Uniform Flow in Open Channel discharge is computed on the basis of a uniform flow equation involving channel characteristics, water surface profile and a roughness coefficient. The drop in water surface profile for a uniform reach of channel represents losses caused by bed roughness.

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

Length of Reach by Manning's Formula for Uniform Flow calculator uses Reach = Frictional Loss/Energy Slope to calculate 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 calculate Length of Reach by Manning's Formula for Uniform Flow using this online calculator? To use this online calculator 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. Here is how the Length of Reach by Manning's Formula for Uniform Flow calculation can be explained with given input values -> 107.1429 = 15/0.14.

FAQ

What is Length of Reach by Manning's Formula for Uniform Flow?

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 and is represented as L = h_f/S_f or Reach = Frictional Loss/Energy Slope. 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 & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

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

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 is calculated using Reach = Frictional Loss/Energy Slope. To calculate Length of Reach by Manning's Formula for Uniform Flow, you need Frictional Loss (h_f) & Energy Slope (S_f). With our tool, you need to enter the respective value for Frictional Loss & Energy Slope 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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