Discharge Ratio given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)
qsQratio = (N/np)*(a/A)*(R)^(1/6)
This formula uses 6 Variables
Variables Used
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.
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
Roughness Coefficient Partially Full: 0.9 --> 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
qsQratio = (N/np)*(a/A)*(R)^(1/6) --> (0.74/0.9)*(3.8/5.4)*(0.61)^(1/6)
Evaluating ... ...
qsQratio = 0.532844744019485
STEP 3: Convert Result to Output's Unit
0.532844744019485 --> No Conversion Required
FINAL ANSWER
0.532844744019485 0.532845 <-- Discharge Ratio
(Calculation completed in 00.006 seconds)

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Discharge and Discharge Ratio through Circular Sewer Calculators

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

Discharge Ratio given Hydraulic Mean Depth Ratio Formula

​LaTeX ​Go
Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)
qsQratio = (N/np)*(a/A)*(R)^(1/6)

What is Hydraulic Mean 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 Discharge Ratio given Hydraulic Mean Depth Ratio?

Discharge Ratio given Hydraulic Mean Depth Ratio calculator uses Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6) to calculate the Discharge Ratio, Discharge Ratio given Hydraulic Mean Depth Ratio is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency. Discharge Ratio is denoted by qsQratio symbol.

How to calculate Discharge Ratio given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Discharge Ratio given Hydraulic Mean Depth Ratio, enter Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), 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 Discharge Ratio given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 0.959121 = (0.74/0.9)*(3.8/area_while_running_full)*(0.61)^(1/6).

FAQ

What is Discharge Ratio given Hydraulic Mean Depth Ratio?
Discharge Ratio given Hydraulic Mean Depth Ratio is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency and is represented as qsQratio = (N/np)*(a/A)*(R)^(1/6) or Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(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, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, 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 Discharge Ratio given Hydraulic Mean Depth Ratio?
Discharge Ratio given Hydraulic Mean Depth Ratio is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency is calculated using Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6). To calculate Discharge Ratio given Hydraulic Mean Depth Ratio, you need Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), 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, Roughness Coefficient Partially Full, 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 Discharge Ratio?
In this formula, Discharge Ratio uses Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Area of Partially Full Sewers, Area of Running Full Sewers & Hydraulic Mean Depth Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)
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