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Loss of Head due to Bend in Pipe Formula

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The Head Loss at Pipe Bend is the energy lost due to the bend in the pipe. Check FAQs

h b = k \cdot \frac{{V f}^{2}}{2 \cdot [g]}

h_b - Head Loss at Pipe Bend?k - Coefficient of Bend in Pipe?V_f - Flow Velocity through Pipe?[g] - Gravitational acceleration on Earth?

Loss of Head due to Bend in Pipe Example

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

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

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

5.7359 = 0.72 \cdot \frac{{12.5}^{2}}{2 \cdot 9.8066}

5.7359m = 0.72 \cdot \frac{{12.5m/s}^{2}}{2 \cdot 9.8066m/s²}

5.7359 = 0.72 \cdot \frac{{12.5}^{2}}{2 \cdot 9.8066}

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Loss of Head due to Bend in Pipe Solution

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

FIRST Step Consider the formula

h b = k \cdot \frac{{V f}^{2}}{2 \cdot [g]}

Next Step Substitute values of Variables

∴

h b = 0.72 \cdot \frac{{12.5m/s}^{2}}{2 \cdot [g]}

Next Step Substitute values of Constants

∴

h b = 0.72 \cdot \frac{{12.5m/s}^{2}}{2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h b = 0.72 \cdot \frac{{12.5}^{2}}{2 \cdot 9.8066}

Next Step Evaluate

∴

h b = 5.73590369800085m

LAST Step Rounding Answer

∴

h b = 5.7359m

Loss of Head due to Bend in Pipe Formula Elements

Variables

Constants

Head Loss at Pipe Bend

The Head Loss at Pipe Bend is the energy lost due to the bend in the pipe.

Symbol: h_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss at Pipe Bend

Coefficient of Bend in Pipe

The Coefficient of Bend in Pipe depends on the total length of the bend and the ratio of the radius of curvature of the bend and pipe diameter.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Bend 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

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 Bend in Pipe?

Loss of Head due to Bend in Pipe evaluator uses Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]) to evaluate the Head Loss at Pipe Bend, The Loss of Head due to Bend in Pipe formula is known while considering the coefficient of bend and the velocity of liquid flow in the pipe. Head Loss at Pipe Bend is denoted by h_b symbol.

How to evaluate Loss of Head due to Bend in Pipe using this online evaluator? To use this online evaluator for Loss of Head due to Bend in Pipe, enter Coefficient of Bend in Pipe (k) & Flow Velocity through Pipe (V_f) and hit the calculate button.

FAQs on Loss of Head due to Bend in Pipe

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

The formula of Loss of Head due to Bend in Pipe is expressed as Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]). Here is an example- 5.735904 = 0.72*(12.5^2)/(2*[g]).

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

With Coefficient of Bend in Pipe (k) & Flow Velocity through Pipe (V_f) we can find Loss of Head due to Bend in Pipe using the formula - Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

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

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

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

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

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