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Area of Cross-Section for Partial Flow given Discharge Ratio Calculator

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Area of Cross Section of Circular Sewer Bed Slope of Circular Sewer Discharge and Discharge Ratio through Circular Sewer Flow Velocity through Circular Sewer

✖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%
✖Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.ⓘ Discharge Ratio [qsQ_ratio]			+10% -10%
✖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%
✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.ⓘ Hydraulic Mean Depth for Partially Full [r_pf]			+10% -10%
✖Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.ⓘ Hydraulic Mean Depth while Running Full [R_rf]			+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 Cross-Section for Partial Flow given Discharge Ratio [a]

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Area of Cross-Section for Partial Flow given Discharge Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)))
a = A*(qsQ_ratio/((N/n_p)*(r_pf/R_rf)^(1/6)))
This formula uses 7 Variables

Variables Used

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.
Discharge Ratio - Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Hydraulic Mean Depth while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

STEP 1: Convert Input(s) to Base Unit

Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required
Discharge Ratio: 0.532 --> No Conversion Required
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Hydraulic Mean Depth while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = A*(qsQ_ratio/((N/n_p)*(r_pf/R_rf)^(1/6))) --> 5.4*(0.532/((0.74/0.9)*(3.2/5.2)^(1/6)))

Evaluating ... ...

a = 3.78842251825202

STEP 3: Convert Result to Output's Unit

3.78842251825202 Square Meter --> No Conversion Required

FINAL ANSWER

3.78842251825202 ≈ 3.788423 Square Meter <-- Area of Partially Full Sewers

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Proportionate Hydraulic Elements for Circular Sewers » Area of Cross Section of Circular Sewer » Area of Cross-Section for Partial Flow given Discharge Ratio

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Birsa Institute of Technology (BIT), Sindri

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< Area of Cross Section of Circular Sewer Calculators

Area of Cross-Section for Partial Flow given Hydraulic Mean Depth Ratio

LaTeX Go Area of Partially Full Sewers = Area of Running Full Sewers*((Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))

Area of Cross-Section for Full Flow given Hydraulic Mean Depth Ratio

LaTeX Go Area of Running Full Sewers = Area of Partially Full Sewers/((Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))

Area of Cross-section for Full Flow given Discharge Ratio

LaTeX Go Area of Running Full Sewers = Area of Partially Full Sewers/(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)))

Area of Cross-section for Full Flow given Hydraulic Mean Depth and Discharge Ratio

Area of Cross-Section for Partial Flow given Discharge Ratio Formula

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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 Area of Cross-Section for Partial Flow given Discharge Ratio?

Area of Cross-Section for Partial Flow given Discharge Ratio calculator uses Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))) to calculate the Area of Partially Full Sewers, The Area of Cross-Section for Partial Flow given Discharge Ratio is defined as the cross-sectional area occupied by the flow, depending on the depth of water in the sewer. Area of Partially Full Sewers is denoted by a symbol.

How to calculate Area of Cross-Section for Partial Flow given Discharge Ratio using this online calculator? To use this online calculator for Area of Cross-Section for Partial Flow given Discharge Ratio, enter Area of Running Full Sewers (A), Discharge Ratio (qsQ_ratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) and hit the calculate button. Here is how the Area of Cross-Section for Partial Flow given Discharge Ratio calculation can be explained with given input values -> 2.104679 = area_while_running_full*(0.532/((0.74/0.9)*(3.2/5.2)^(1/6))).

FAQ

What is Area of Cross-Section for Partial Flow given Discharge Ratio?

The Area of Cross-Section for Partial Flow given Discharge Ratio is defined as the cross-sectional area occupied by the flow, depending on the depth of water in the sewer and is represented as a = A*(qsQ_ratio/((N/n_p)*(r_pf/R_rf)^(1/6))) or Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid, Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow, The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels & Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

How to calculate Area of Cross-Section for Partial Flow given Discharge Ratio?

The Area of Cross-Section for Partial Flow given Discharge Ratio is defined as the cross-sectional area occupied by the flow, depending on the depth of water in the sewer is calculated using Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). To calculate Area of Cross-Section for Partial Flow given Discharge Ratio, you need Area of Running Full Sewers (A), Discharge Ratio (qsQ_ratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf). With our tool, you need to enter the respective value for Area of Running Full Sewers, Discharge Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full 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 Area of Partially Full Sewers?

In this formula, Area of Partially Full Sewers uses Area of Running Full Sewers, Discharge Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Partially Full Sewers = Area of Running Full Sewers*((Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))
Area of Partially Full Sewers = Area of Running Full Sewers*(Discharge Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth Ratio)^(1/6)))

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