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Loss of Head due to Obstruction in Pipe Formula

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Loss of head due to obstruction in pipe refers to a measurement of the energy dissipated in a pipe due to obstruction in the pipe. Check FAQs

H o = \frac{{V f}^{2}}{2 \cdot [g]} \cdot {(\frac{A}{C c \cdot (A - A')} - 1)}^{2}

H_o - Loss of Head Due to Obstruction in Pipe?V_f - Flow Velocity through Pipe?A - Cross Sectional Area of Pipe?C_c - Coefficient of Contraction in Pipe?A' - Maximum Area of Obstruction?[g] - Gravitational acceleration on Earth?

Loss of Head due to Obstruction in Pipe Example

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Here is how the Loss of Head due to Obstruction in Pipe equation looks like with Values.

Here is how the Loss of Head due to Obstruction in Pipe equation looks like with Units.

Here is how the Loss of Head due to Obstruction in Pipe equation looks like.

7.3696 = \frac{{12.5}^{2}}{2 \cdot 9.8066} \cdot {(\frac{0.0113}{0.6 \cdot (0.0113 - 0.0017)} - 1)}^{2}

7.3696m = \frac{{12.5m/s}^{2}}{2 \cdot 9.8066m/s²} \cdot {(\frac{0.0113m²}{0.6 \cdot (0.0113m² - 0.0017m)} - 1)}^{2}

7.3696 = \frac{{12.5}^{2}}{2 \cdot 9.8066} \cdot {(\frac{0.0113}{0.6 \cdot (0.0113 - 0.0017)} - 1)}^{2}

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Loss of Head due to Obstruction in Pipe Solution

Follow our step by step solution on how to calculate Loss of Head due to Obstruction in Pipe?

FIRST Step Consider the formula

H o = \frac{{V f}^{2}}{2 \cdot [g]} \cdot {(\frac{A}{C c \cdot (A - A')} - 1)}^{2}

Next Step Substitute values of Variables

∴

H o = \frac{{12.5m/s}^{2}}{2 \cdot [g]} \cdot {(\frac{0.0113m²}{0.6 \cdot (0.0113m² - 0.0017m)} - 1)}^{2}

Next Step Substitute values of Constants

∴

H o = \frac{{12.5m/s}^{2}}{2 \cdot 9.8066m/s²} \cdot {(\frac{0.0113m²}{0.6 \cdot (0.0113m² - 0.0017m)} - 1)}^{2}

Next Step Prepare to Evaluate

∴

H o = \frac{{12.5}^{2}}{2 \cdot 9.8066} \cdot {(\frac{0.0113}{0.6 \cdot (0.0113 - 0.0017)} - 1)}^{2}

Next Step Evaluate

∴

H o = 7.36960001868575m

LAST Step Rounding Answer

∴

H o = 7.3696m

Loss of Head due to Obstruction in Pipe Formula Elements

Variables

Constants

Loss of Head Due to Obstruction in Pipe

Loss of head due to obstruction in pipe refers to a measurement of the energy dissipated in a pipe due to obstruction in the pipe.

Symbol: H_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Loss of Head Due to Obstruction in Pipe

Flow Velocity through Pipe

Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity through Pipe

Cross Sectional Area of Pipe

Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Pipe

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

Maximum Area of Obstruction

The Maximum Area of Obstruction is considered as the area occupied by the obstruction particle inside a pipe with liquid flow in it.

Symbol: A'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Area of Obstruction

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 Obstruction in Pipe?

Loss of Head due to Obstruction in Pipe evaluator uses Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2 to evaluate the Loss of Head Due to Obstruction in Pipe, The Loss of Head due to Obstruction in Pipe formula is known while considering the velocity of liquid in the pipe, coefficient of contraction, area of the pipe, and the maximum area of the obstruction. Loss of Head Due to Obstruction in Pipe is denoted by H_o symbol.

How to evaluate Loss of Head due to Obstruction in Pipe using this online evaluator? To use this online evaluator for Loss of Head due to Obstruction in Pipe, enter Flow Velocity through Pipe (V_f), Cross Sectional Area of Pipe (A), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A') and hit the calculate button.

FAQs on Loss of Head due to Obstruction in Pipe

What is the formula to find Loss of Head due to Obstruction in Pipe?

The formula of Loss of Head due to Obstruction in Pipe is expressed as Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2. Here is an example- 7.3696 = 12.5^2/(2*[g])*(0.0113/(0.6*(0.0113-0.0017))-1)^2.

How to calculate Loss of Head due to Obstruction in Pipe?

With Flow Velocity through Pipe (V_f), Cross Sectional Area of Pipe (A), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A') we can find Loss of Head due to Obstruction in Pipe using the formula - Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Loss of Head due to Obstruction in Pipe be negative?

No, the Loss of Head due to Obstruction in Pipe, measured in Length cannot be negative.

Which unit is used to measure Loss of Head due to Obstruction in Pipe?

Loss of Head due to Obstruction in Pipe 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 Obstruction in Pipe can be measured.

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Loss of Head due to Obstruction in Pipe Formula

Loss of Head due to Obstruction in Pipe Example

Loss of Head due to Obstruction in Pipe Solution

Loss of Head due to Obstruction in Pipe Formula Elements

Other formulas in Pressure and Flow Head category

How to Evaluate Loss of Head due to Obstruction in Pipe?

FAQs on Loss of Head due to Obstruction in Pipe

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