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Velocity while Running Full given Proportionate Discharge Calculator

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Circular Sewer Section Running Full Circular Sewer Section Running Partially Full

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✖Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.ⓘ Velocity in a Partially Running Sewer [V_s]			+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%
✖Proportionate Discharge is the ratio of discharge while running partially full to running full.ⓘ Proportionate Discharge [P_q]			+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%

✖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.ⓘ Velocity while Running Full given Proportionate Discharge [V]

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Formula

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Velocity while Running Full given Proportionate Discharge

Formula

V = \frac{V s \cdot a}{P q \cdot A}

Example

6.016797 m/s = \frac{4.6 m/s \cdot 3.8 m²}{0.538 \cdot 5.4 m²}

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Velocity while Running Full given Proportionate Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity While Running Full = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Proportionate Discharge*Area of Running Full Sewers)
V = (V_s*a)/(P_q*A)
This formula uses 5 Variables

Variables Used

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.
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.
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.
Proportionate Discharge - Proportionate Discharge is the ratio of discharge while running partially full to running full.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Proportionate Discharge: 0.538 --> No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (V_s*a)/(P_q*A) --> (4.6*3.8)/(0.538*5.4)

Evaluating ... ...

V = 6.01679746661159

STEP 3: Convert Result to Output's Unit

6.01679746661159 Meter per Second --> No Conversion Required

FINAL ANSWER

6.01679746661159 ≈ 6.016797 Meter per Second <-- Velocity While Running Full

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Characteristics of Circular Sewers Sections » Circular Sewer Section Running Full » Proportionate Discharge » Velocity while Running Full given Proportionate Discharge

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Proportionate Discharge Calculators

Proportionate Discharge given Central Angle

Go Proportionate Discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))

Proportionate Discharge given Area of Cross-Section

Go Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)

Discharge when Pipe is Running Full using Proportionate Discharge

Go Discharge when Pipe is Running Full = (Discharge when Pipe is Running Partially Full/Proportionate Discharge)

Proportionate Discharge using Discharge when Pipe Running Full

Go Proportionate Discharge = Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full

Velocity while Running Full given Proportionate Discharge Formula

Velocity While Running Full = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Proportionate Discharge*Area of Running Full Sewers)
V = (V_s*a)/(P_q*A)

What is Proportionate Discharge?

Proportionate discharge for partially and fully running pipes is the ratio of the flow rate in a partially filled pipe to the flow rate when the pipe is fully filled. This ratio is essential for understanding and predicting the flow behavior under different filling conditions, helping to optimize the design and performance of piping systems, especially in sewers and drainage where pipes may not always run at full capacity. It aids in ensuring efficient operation and accurate flow management.

How to Calculate Velocity while Running Full given Proportionate Discharge?

Velocity while Running Full given Proportionate Discharge calculator uses Velocity While Running Full = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Proportionate Discharge*Area of Running Full Sewers) to calculate the Velocity While Running Full, The Velocity while Running Full given Proportionate Discharge is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness. Velocity While Running Full is denoted by V symbol.

How to calculate Velocity while Running Full given Proportionate Discharge using this online calculator? To use this online calculator for Velocity while Running Full given Proportionate Discharge, enter Velocity in a Partially Running Sewer (V_s), Area of Partially Full Sewers (a), Proportionate Discharge (P_q) & Area of Running Full Sewers (A) and hit the calculate button. Here is how the Velocity while Running Full given Proportionate Discharge calculation can be explained with given input values -> 6.084656 = (4.6*3.8)/(0.538*5.4).

FAQ

What is Velocity while Running Full given Proportionate Discharge?

The Velocity while Running Full given Proportionate Discharge is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness and is represented as V = (V_s*a)/(P_q*A) or Velocity While Running Full = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Proportionate Discharge*Area of Running Full Sewers). Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, 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, Proportionate Discharge is the ratio of discharge while running partially full to running full & The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

How to calculate Velocity while Running Full given Proportionate Discharge?

The Velocity while Running Full given Proportionate Discharge is defined as the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness is calculated using Velocity While Running Full = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Proportionate Discharge*Area of Running Full Sewers). To calculate Velocity while Running Full given Proportionate Discharge, you need Velocity in a Partially Running Sewer (V_s), Area of Partially Full Sewers (a), Proportionate Discharge (P_q) & Area of Running Full Sewers (A). With our tool, you need to enter the respective value for Velocity in a Partially Running Sewer, Area of Partially Full Sewers, Proportionate Discharge & Area of Running Full Sewers 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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