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Coefficient of contraction for sudden contraction Formula

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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. Check FAQs

C c = \frac{V 2'}{V 2' + \sqrt{h c \cdot 2 \cdot [g]}}

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

Coefficient of contraction for sudden contraction Example

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Here is how the Coefficient of contraction for sudden contraction equation looks like with Values.

Here is how the Coefficient of contraction for sudden contraction equation looks like with Units.

Here is how the Coefficient of contraction for sudden contraction equation looks like.

0.5995 = \frac{2.89}{2.89 + \sqrt{0.19 \cdot 2 \cdot 9.8066}}

0.5995 = \frac{2.89m/s}{2.89m/s + \sqrt{0.19m \cdot 2 \cdot 9.8066m/s²}}

0.5995 = \frac{2.89}{2.89 + \sqrt{0.19 \cdot 2 \cdot 9.8066}}

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Coefficient of contraction for sudden contraction Solution

Follow our step by step solution on how to calculate Coefficient of contraction for sudden contraction?

FIRST Step Consider the formula

C c = \frac{V 2'}{V 2' + \sqrt{h c \cdot 2 \cdot [g]}}

Next Step Substitute values of Variables

∴

C c = \frac{2.89m/s}{2.89m/s + \sqrt{0.19m \cdot 2 \cdot [g]}}

Next Step Substitute values of Constants

∴

C c = \frac{2.89m/s}{2.89m/s + \sqrt{0.19m \cdot 2 \cdot 9.8066m/s²}}

Next Step Prepare to Evaluate

∴

C c = \frac{2.89}{2.89 + \sqrt{0.19 \cdot 2 \cdot 9.8066}}

Next Step Evaluate

∴

C c = 0.599532639632344

LAST Step Rounding Answer

∴

C c = 0.5995

Coefficient of contraction for sudden contraction Formula Elements

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Flow Regime category

Go Velocity at section 1-1 for sudden enlargement

V 1' = V 2' + \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden enlargement

V 2' = V 1' - \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden contraction

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

Go Velocity of fluid in pipe for head loss at entrance of pipe

v = \sqrt{\frac{h i \cdot 2 \cdot [g]}{0.5}}

How to Evaluate Coefficient of contraction for sudden contraction?

Coefficient of contraction for sudden contraction evaluator uses Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g])) to evaluate the Coefficient of Contraction in Pipe, The Coefficient of contraction for sudden contraction formula is known while considering the loss of head due to sudden contraction and the velocity of flow at section 2-2. Coefficient of Contraction in Pipe is denoted by C_c symbol.

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

FAQs on Coefficient of contraction for sudden contraction

What is the formula to find Coefficient of contraction for sudden contraction?

The formula of Coefficient of contraction for sudden contraction is expressed as Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g])). Here is an example- 0.599533 = 2.89/(2.89+sqrt(0.19*2*[g])).

How to calculate Coefficient of contraction for sudden contraction?

With Velocity of Fluid at Section 2 (V₂') & Loss of Head Sudden Contraction (h_c) we can find Coefficient of contraction for sudden contraction using the formula - Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g])). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

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Coefficient of contraction for sudden contraction Formula

Coefficient of contraction for sudden contraction Example

Coefficient of contraction for sudden contraction Solution

Coefficient of contraction for sudden contraction Formula Elements

Other formulas in Flow Regime category

How to Evaluate Coefficient of contraction for sudden contraction?

FAQs on Coefficient of contraction for sudden contraction

Variable Name