Critical Depth due to Reduction in Area of Flow Section given Total Head Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
hc = H-(vf^2/(2*g))
This formula uses 4 Variables
Variables Used
Critical Depth of Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.
Velocity of Fluid for Weir - (Measured in Meter per Second) - Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Total Head: 5 Meter --> 5 Meter No Conversion Required
Velocity of Fluid for Weir: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hc = H-(vf^2/(2*g)) --> 5-(8.8^2/(2*9.8))
Evaluating ... ...
hc = 1.04897959183673
STEP 3: Convert Result to Output's Unit
1.04897959183673 Meter --> No Conversion Required
FINAL ANSWER
1.04897959183673 ā‰ˆ 1.04898 Meter <-- Critical Depth of Weir
(Calculation completed in 00.020 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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20 Broad Crested Weir Calculators

Coefficient of Discharge given Actual Discharge over Broad Crested Weir
Go Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Length of Crest given Actual Discharge over Broad Crested Weir
Go Length of Weir Crest = Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Actual Discharge over Broad Crested Weir
Go Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
Total Head for Actual Discharge over Broad Crested Weir
Go Total Head = (((Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*Acceleration due to Gravity)))+Critical Depth of Weir
Length of Crest given Discharge over Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
Discharge over Broad Crested Weir
Go Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))
Total Head given Discharge over Weir Crest
Go Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
Velocity of Flow given Head
Go Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
Head if Velocity is considered for Discharge over Broad Crested Weir
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Length of Crest over Broad Crested Weir for Max Discharge
Go Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Total Head for Maximum Discharge
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Maximum Discharge of Broad Crested Weir if Critical Depth is Constant
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Coefficient of Discharge for Max Discharge over Crested Weir
Go Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Max Discharge over Broad Crested Weir
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Length of Crest if Critical Depth is Constant for Discharge of Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant
Go Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Critical Depth due to Reduction in Area of Flow Section given Total Head
Go Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
Total Head above Weir Crest
Go Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
Head for Broad Crested Weir
Go Head on Upstream of Weir = (Total Head+Additional Head)
Additional Head given Head for Broad Crested Weir
Go Additional Head = Head on Upstream of Weir-Total Head

Critical Depth due to Reduction in Area of Flow Section given Total Head Formula

Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
hc = H-(vf^2/(2*g))

What is meant by Critical Depth?

Critical Depth due to Reduction in Area of Flow Section given Total Head is defined as hypothesized surface mixing depth at which phytoplankton growth is precisely matched by losses of phytoplankton biomass within this depth interval.

What is a Broad Crested Weir?

Broad crested weirs are robust structures that are generally constructed from reinforced concrete and which usually span the full width of the channel. They are used to measure the discharge of rivers, and are much more suited for this purpose than the relatively flimsy sharp crested weirs. The broad crested weir is one which the water flow discharge in measured from large water bodies like big canals while the sharp crested weir will help in measuring the discharge of the water from the small rivers and canals and the weir is placed in the direction of the flow of water.

How to Calculate Critical Depth due to Reduction in Area of Flow Section given Total Head?

Critical Depth due to Reduction in Area of Flow Section given Total Head calculator uses Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)) to calculate the Critical Depth of Weir, Critical Depth due to Reduction in Area of Flow Section given Total Head is defined as hypothesized surface mixing depth at which phytoplankton growth is precisely matched by losses of phytoplankton biomass within this depth interval. Critical Depth of Weir is denoted by hc symbol.

How to calculate Critical Depth due to Reduction in Area of Flow Section given Total Head using this online calculator? To use this online calculator for Critical Depth due to Reduction in Area of Flow Section given Total Head, enter Total Head (H), Velocity of Fluid for Weir (vf) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Depth due to Reduction in Area of Flow Section given Total Head calculation can be explained with given input values -> 1.04898 = 5-(8.8^2/(2*9.8)).

FAQ

What is Critical Depth due to Reduction in Area of Flow Section given Total Head?
Critical Depth due to Reduction in Area of Flow Section given Total Head is defined as hypothesized surface mixing depth at which phytoplankton growth is precisely matched by losses of phytoplankton biomass within this depth interval and is represented as hc = H-(vf^2/(2*g)) or Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). Total Head is the combination of weir crested and additional head, Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Critical Depth due to Reduction in Area of Flow Section given Total Head?
Critical Depth due to Reduction in Area of Flow Section given Total Head is defined as hypothesized surface mixing depth at which phytoplankton growth is precisely matched by losses of phytoplankton biomass within this depth interval is calculated using Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). To calculate Critical Depth due to Reduction in Area of Flow Section given Total Head, you need Total Head (H), Velocity of Fluid for Weir (vf) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Total Head, Velocity of Fluid for Weir & Acceleration due to Gravity 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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