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

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The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge. Check FAQs

h c = H - (\frac{{v f}^{2}}{2 \cdot g})

h_c - Critical Depth of Weir?H - Total Head?v_f - Velocity of Fluid for Weir?g - Acceleration due to Gravity?

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

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Here is how the Critical Depth due to Reduction in Area of Flow Section given Total Head equation looks like with Values.

Here is how the Critical Depth due to Reduction in Area of Flow Section given Total Head equation looks like with Units.

Here is how the Critical Depth due to Reduction in Area of Flow Section given Total Head equation looks like.

1.049 = 5 - (\frac{{8.8}^{2}}{2 \cdot 9.8})

1.049m = 5m - (\frac{{8.8m/s}^{2}}{2 \cdot 9.8m/s²})

1.049 = 5 - (\frac{{8.8}^{2}}{2 \cdot 9.8})

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

Follow our step by step solution on how to calculate Critical Depth due to Reduction in Area of Flow Section given Total Head?

FIRST Step Consider the formula

h c = H - (\frac{{v f}^{2}}{2 \cdot g})

Next Step Substitute values of Variables

∴

h c = 5m - (\frac{{8.8m/s}^{2}}{2 \cdot 9.8m/s²})

Next Step Prepare to Evaluate

∴

h c = 5 - (\frac{{8.8}^{2}}{2 \cdot 9.8})

Next Step Evaluate

∴

h c = 1.04897959183673m

LAST Step Rounding Answer

∴

h c = 1.049m

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

Variables

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

Total Head

Total Head is the combination of weir crested and additional head.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Head

Velocity of Fluid for Weir

Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.

Symbol: v_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Fluid for Weir

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Other formulas in Broad Crested Weir category

Go Total Head above Weir Crest

H = h c + (\frac{{v f}^{2}}{2 \cdot g})

Go Velocity of Flow given Head

v f = \sqrt{(2 \cdot g) \cdot (H - h c)}

Go Discharge over Broad Crested Weir

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

Go Length of Crest given Discharge over Weir

L w = \frac{Q w}{h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}}

How to Evaluate 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 evaluator uses Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)) to evaluate 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 evaluate Critical Depth due to Reduction in Area of Flow Section given Total Head using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Critical Depth due to Reduction in Area of Flow Section given Total Head?

The formula of Critical Depth due to Reduction in Area of Flow Section given Total Head is expressed as Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). Here is an example- 1.04898 = 5-(8.8^2/(2*9.8)).

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

With Total Head (H), Velocity of Fluid for Weir (v_f) & Acceleration due to Gravity (g) we can find Critical Depth due to Reduction in Area of Flow Section given Total Head using the formula - Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)).

Can the Critical Depth due to Reduction in Area of Flow Section given Total Head be negative?

No, the Critical Depth due to Reduction in Area of Flow Section given Total Head, measured in Length cannot be negative.

Which unit is used to measure 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 usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Critical Depth due to Reduction in Area of Flow Section given Total Head can be measured.

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