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Loss of Head due to Sudden Contraction Formula

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The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes. Check FAQs

h c = \frac{{V 2'}^{2}}{2 \cdot [g]} \cdot {(\frac{1}{C c} - 1)}^{2}

h_c - Loss of Head Sudden Contraction?V₂' - Velocity of Fluid at Section 2?C_c - Coefficient of Contraction in Pipe?[g] - Gravitational acceleration on Earth?

Loss of Head due to Sudden Contraction Example

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Here is how the Loss of Head due to Sudden Contraction equation looks like with Values.

Here is how the Loss of Head due to Sudden Contraction equation looks like with Units.

Here is how the Loss of Head due to Sudden Contraction equation looks like.

0.1893 = \frac{{2.89}^{2}}{2 \cdot 9.8066} \cdot {(\frac{1}{0.6} - 1)}^{2}

0.1893m = \frac{{2.89m/s}^{2}}{2 \cdot 9.8066m/s²} \cdot {(\frac{1}{0.6} - 1)}^{2}

0.1893 = \frac{{2.89}^{2}}{2 \cdot 9.8066} \cdot {(\frac{1}{0.6} - 1)}^{2}

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Loss of Head due to Sudden Contraction Solution

Follow our step by step solution on how to calculate Loss of Head due to Sudden Contraction?

FIRST Step Consider the formula

h c = \frac{{V 2'}^{2}}{2 \cdot [g]} \cdot {(\frac{1}{C c} - 1)}^{2}

Next Step Substitute values of Variables

∴

h c = \frac{{2.89m/s}^{2}}{2 \cdot [g]} \cdot {(\frac{1}{0.6} - 1)}^{2}

Next Step Substitute values of Constants

∴

h c = \frac{{2.89m/s}^{2}}{2 \cdot 9.8066m/s²} \cdot {(\frac{1}{0.6} - 1)}^{2}

Next Step Prepare to Evaluate

∴

h c = \frac{{2.89}^{2}}{2 \cdot 9.8066} \cdot {(\frac{1}{0.6} - 1)}^{2}

Next Step Evaluate

∴

h c = 0.189261595164732m

LAST Step Rounding Answer

∴

h c = 0.1893m

Loss of Head due to Sudden Contraction Formula Elements

Variables

Constants

Loss of Head Sudden Contraction

The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Loss of Head Sudden Contraction

Velocity of Fluid at Section 2

Velocity of fluid at section 2 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 2.

Symbol: V₂'

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid at Section 2

Coefficient of Contraction in Pipe

Coefficient of contraction in pipe is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.

Symbol: C_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Contraction in Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Pressure and Flow Head category

Go Difference in liquid level in three compound pipes with same friction coefficient

H = (4 \cdot \frac{μ}{2 \cdot [g]}) \cdot ((L \cdot \frac{{V 1}^{2}}{D}) + (L \cdot \frac{{V 2}^{2}}{D}) + (L \cdot \frac{{V 3}^{2}}{D}))

Go Total head available at inlet of pipe for efficiency of power transmission

H in = \frac{h f}{1 - η p}

Go Head available at Base of Nozzle

H bn = H in - (4 \cdot μ \cdot L \cdot \frac{{V f}^{2}}{D \cdot 2 \cdot [g]})

Go Total head at inlet of pipe for head available at base of nozzle

H in = H bn + (4 \cdot μ \cdot L \cdot \frac{{V f}^{2}}{D \cdot 2 \cdot [g]})

How to Evaluate Loss of Head due to Sudden Contraction?

Loss of Head due to Sudden Contraction evaluator uses Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2 to evaluate the Loss of Head Sudden Contraction, The Loss of Head due to Sudden Contraction formula is known while considering the velocity at section 2-2 which is present after the contraction and the coefficient of contraction at c-c. Loss of Head Sudden Contraction is denoted by h_c symbol.

How to evaluate Loss of Head due to Sudden Contraction using this online evaluator? To use this online evaluator for Loss of Head due to Sudden Contraction, enter Velocity of Fluid at Section 2 (V₂') & Coefficient of Contraction in Pipe (C_c) and hit the calculate button.

FAQs on Loss of Head due to Sudden Contraction

What is the formula to find Loss of Head due to Sudden Contraction?

The formula of Loss of Head due to Sudden Contraction is expressed as Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2. Here is an example- 0.189262 = 2.89^2/(2*[g])*(1/0.6-1)^2.

How to calculate Loss of Head due to Sudden Contraction?

With Velocity of Fluid at Section 2 (V₂') & Coefficient of Contraction in Pipe (C_c) we can find Loss of Head due to Sudden Contraction using the formula - Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Loss of Head due to Sudden Contraction be negative?

No, the Loss of Head due to Sudden Contraction, measured in Length cannot be negative.

Which unit is used to measure Loss of Head due to Sudden Contraction?

Loss of Head due to Sudden Contraction is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Loss of Head due to Sudden Contraction can be measured.

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Loss of Head due to Sudden Contraction Formula

Loss of Head due to Sudden Contraction Example

Loss of Head due to Sudden Contraction Solution

Loss of Head due to Sudden Contraction Formula Elements

Other formulas in Pressure and Flow Head category

How to Evaluate Loss of Head due to Sudden Contraction?

FAQs on Loss of Head due to Sudden Contraction

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