Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio Calculator

✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Running Full [N]			+10% -10%
✖Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.ⓘ Discharge Ratio [qsQ_ratio]			+10% -10%
✖The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.ⓘ Area of Partially Full Sewers [a]			+10% -10%
✖The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.ⓘ Area of Running Full Sewers [A]			+10% -10%
✖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.ⓘ Hydraulic Mean Depth Ratio [R]			+10% -10%

✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio [n_p]

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Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)))
n_p = N/((qsQ_ratio)/((a/A)*(R)^(1/6)))
This formula uses 6 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.
Discharge Ratio - Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.
Area of Partially Full Sewers - (Measured in Square Meter) - The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
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
Discharge Ratio: 0.532 --> No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required
Hydraulic Mean Depth Ratio: 0.61 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_p = N/((qsQ_ratio)/((a/A)*(R)^(1/6))) --> 0.74/((0.532)/((3.8/5.4)*(0.61)^(1/6)))

Evaluating ... ...

n_p = 0.901429078228452

STEP 3: Convert Result to Output's Unit

0.901429078228452 --> No Conversion Required

FINAL ANSWER

0.901429078228452 ≈ 0.901429 <-- Roughness Coefficient Partially Full

(Calculation completed in 00.004 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 and Discharge Ratio Formula

LaTeX Go

What is discharge ratio ?

The discharge ratio is the comparison of the flow rate (discharge) in a partially full pipe to that in a fully running pipe. It helps in understanding the efficiency and capacity of the pipe under different flow conditions, often influenced by factors like slope, roughness, and hydraulic mean depth. The ratio is crucial for designing and analyzing sewer systems to ensure optimal performance under varying load conditions.

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

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio calculator uses Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6))) to calculate the Roughness Coefficient Partially Full, Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio is defined for flow calculations, accounting for varied wetting of pipe surfaces. Roughness Coefficient Partially Full is denoted by n_p symbol.

How to calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio, enter Roughness Coefficient for Running Full (N), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio calculation can be explained with given input values -> 1.622572 = 0.74/((0.532)/((3.8/area_while_running_full)*(0.61)^(1/6))).

FAQ

What is Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio?

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio is defined for flow calculations, accounting for varied wetting of pipe surfaces and is represented as n_p = N/((qsQ_ratio)/((a/A)*(R)^(1/6))) or Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6))). The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow, The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations, The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid & 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 and Discharge Ratio?

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge 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/((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6))). To calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio, you need Roughness Coefficient for Running Full (N), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers & 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, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers & 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 in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))

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