Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))
np = N/((Vs/V)/(R)^(1/6))
This formula uses 5 Variables
Variables Used
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Velocity in a Partially Running Sewer - (Measured in Meter per Second) - Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.
Velocity While Running Full - (Measured in Meter per Second) - Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.
Hydraulic Mean Depth Ratio - The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
STEP 1: Convert Input(s) to Base Unit
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
Hydraulic Mean Depth Ratio: 0.61 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
np = N/((Vs/V)/(R)^(1/6)) --> 0.74/((4.6/6.01)/(0.61)^(1/6))
Evaluating ... ...
np = 0.890368935364276
STEP 3: Convert Result to Output's Unit
0.890368935364276 --> No Conversion Required
FINAL ANSWER
0.890368935364276 0.890369 <-- Roughness Coefficient Partially Full
(Calculation completed in 00.020 seconds)

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Roughness Coefficient for Partial Flow Calculators

Roughness Coefficient for Partial Flow given Self Cleansing Velocity
​ LaTeX ​ Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient for Partial Flow given Velocity Ratio
​ LaTeX ​ Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio
​ LaTeX ​ Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Velocity Ratio
​ LaTeX ​ Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity Ratio)/(Hydraulic Mean Depth Ratio)^(1/6))

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio Formula

​LaTeX ​Go
Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))
np = N/((Vs/V)/(R)^(1/6))

What is hydraulic depth ?

Hydraulic mean depth, or hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It's a key parameter in fluid dynamics, used to determine flow characteristics like velocity and discharge. In open channel flow, it influences resistance, energy loss, and overall efficiency, making it vital for designing and analyzing water conveyance systems.

How to Calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio?

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio calculator uses Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6)) to calculate the Roughness Coefficient Partially Full, Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is defined for flow calculations, accounting for varied wetting of pipe surfaces. Roughness Coefficient Partially Full is denoted by np symbol.

How to calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio, enter Roughness Coefficient for Running Full (N), Velocity in a Partially Running Sewer (Vs), Velocity While Running Full (V) & Hydraulic Mean Depth Ratio (R) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 2.047849 = 0.74/((self_cleansing_velocity/6.01)/(0.61)^(1/6)).

FAQ

What is Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio?
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is defined for flow calculations, accounting for varied wetting of pipe surfaces and is represented as np = N/((Vs/V)/(R)^(1/6)) or Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6)). The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness & The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
How to calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio?
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is defined for flow calculations, accounting for varied wetting of pipe surfaces is calculated using Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6)). To calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio, you need Roughness Coefficient for Running Full (N), Velocity in a Partially Running Sewer (Vs), Velocity While Running Full (V) & Hydraulic Mean Depth Ratio (R). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Velocity in a Partially Running Sewer, Velocity While Running Full & Hydraulic Mean Depth Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Roughness Coefficient Partially Full?
In this formula, Roughness Coefficient Partially Full uses Roughness Coefficient for Running Full, Velocity in a Partially Running Sewer, Velocity While Running Full & Hydraulic Mean Depth Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
  • Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
  • Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity Ratio)/(Hydraulic Mean Depth Ratio)^(1/6))
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