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

✖Total Head is the combination of weir crested and additional head.ⓘ Total Head [H]			+10% -10%
✖Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity of Fluid for Weir [v_f]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth due to Reduction in Area of Flow Section given Total Head [h_c]

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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))
h_c = H-(v_f^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

h_c = H-(v_f^2/(2*g)) --> 5-(8.8^2/(2*9.8))

Evaluating ... ...

h_c = 1.04897959183673

STEP 3: Convert Result to Output's Unit

1.04897959183673 Meter --> No Conversion Required

FINAL ANSWER

1.04897959183673 ≈ 1.04898 Meter <-- Critical Depth of Weir

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Broad Crested Weir Calculators

Discharge over Broad Crested Weir

LaTeX Go Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))

Velocity of Flow given Head

LaTeX Go Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))

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

LaTeX Go Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

Total Head above Weir Crest

LaTeX Go Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))

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

LaTeX Go

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

What is meant by Critical Depth?

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 h_c 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 (v_f) & 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 h_c = H-(v_f^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 (v_f) & 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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