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Loss of head due to friction in suction pipe Formula

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Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance. Check FAQs

h fs = (\frac{2 \cdot μ f \cdot l s}{D s \cdot [g]}) \cdot ({((\frac{A}{a s}) \cdot ω \cdot r \cdot \sin (θ crnk))}^{2})

h_fs - Head Loss due to Friction in Suction Pipe?μ_f - Coefficient of Friction?l_s - Length of suction pipe?D_s - Diameter of suction pipe?A - Area of cylinder?a_s - Area of Suction Pipe?ω - Angular Velocity?r - Radius of crank?θ_crnk - Angle turned by crank?[g] - Gravitational acceleration on Earth?

Loss of head due to friction in suction pipe Example

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Here is how the Loss of head due to friction in suction pipe equation looks like with Values.

Here is how the Loss of head due to friction in suction pipe equation looks like with Units.

Here is how the Loss of head due to friction in suction pipe equation looks like.

0.6549 = (\frac{2 \cdot 0.4 \cdot 2.5}{0.002 \cdot 9.8066}) \cdot ({((\frac{0.6}{0.39}) \cdot 2.5 \cdot 0.09 \cdot \sin (12.8))}^{2})

0.6549m = (\frac{2 \cdot 0.4 \cdot 2.5m}{0.002m \cdot 9.8066m/s²}) \cdot ({((\frac{0.6m²}{0.39m²}) \cdot 2.5rad/s \cdot 0.09m \cdot \sin (12.8rad))}^{2})

0.6549 = (\frac{2 \cdot 0.4 \cdot 2.5}{0.002 \cdot 9.8066}) \cdot ({((\frac{0.6}{0.39}) \cdot 2.5 \cdot 0.09 \cdot \sin (12.8))}^{2})

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Loss of head due to friction in suction pipe Solution

Follow our step by step solution on how to calculate Loss of head due to friction in suction pipe?

FIRST Step Consider the formula

h fs = (\frac{2 \cdot μ f \cdot l s}{D s \cdot [g]}) \cdot ({((\frac{A}{a s}) \cdot ω \cdot r \cdot \sin (θ crnk))}^{2})

Next Step Substitute values of Variables

∴

h fs = (\frac{2 \cdot 0.4 \cdot 2.5m}{0.002m \cdot [g]}) \cdot ({((\frac{0.6m²}{0.39m²}) \cdot 2.5rad/s \cdot 0.09m \cdot \sin (12.8rad))}^{2})

Next Step Substitute values of Constants

∴

h fs = (\frac{2 \cdot 0.4 \cdot 2.5m}{0.002m \cdot 9.8066m/s²}) \cdot ({((\frac{0.6m²}{0.39m²}) \cdot 2.5rad/s \cdot 0.09m \cdot \sin (12.8rad))}^{2})

Next Step Prepare to Evaluate

∴

h fs = (\frac{2 \cdot 0.4 \cdot 2.5}{0.002 \cdot 9.8066}) \cdot ({((\frac{0.6}{0.39}) \cdot 2.5 \cdot 0.09 \cdot \sin (12.8))}^{2})

Next Step Evaluate

∴

h fs = 0.654872119381217m

LAST Step Rounding Answer

∴

h fs = 0.6549m

Loss of head due to friction in suction pipe Formula Elements

Variables

Constants

Functions

Head Loss due to Friction in Suction Pipe

Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance.

Symbol: h_fs

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss due to Friction in Suction Pipe

Coefficient of Friction

Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces in contact in a single acting pump.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Length of suction pipe

Length of suction pipe is the distance from the centerline of the pump to the center of the suction inlet of a single acting reciprocating pump.

Symbol: l_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of suction pipe

Diameter of suction pipe

Diameter of suction pipe is the diameter of the pipe that supplies fluid to the single acting reciprocating pump's cylinder.

Symbol: D_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of suction pipe

Area of cylinder

Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of cylinder

Area of Suction Pipe

Area of Suction Pipe is the cross-sectional area of the pipe that connects the pump to the suction source in a single acting pump system.

Symbol: a_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Suction Pipe

Angular Velocity

Angular Velocity is the measure of how fast the pump's crankshaft rotates, determining the pump's speed and efficiency in a single acting pump system.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Radius of crank

Radius of crank is the distance from the axis of rotation to the point where the connecting rod is attached in a single acting pump.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of crank

Angle turned by crank

Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.

Symbol: θ_crnk

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle turned by crank

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Single Acting Pumps category

Go Work Done by Single-acting Pump considering all Head Losses

W fd = (SW \cdot A \cdot L \cdot \frac{N}{60}) \cdot (h s + h del + ((\frac{2}{3}) \cdot h fs) + ((\frac{2}{3}) \cdot h fd))

Go Work done against friction in suction pipe

W fs = (\frac{2}{3}) \cdot L \cdot h fs

How to Evaluate Loss of head due to friction in suction pipe?

Loss of head due to friction in suction pipe evaluator uses Head Loss due to Friction in Suction Pipe = ((2*Coefficient of Friction*Length of suction pipe)/(Diameter of suction pipe*[g]))*(((Area of cylinder/Area of Suction Pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2) to evaluate the Head Loss due to Friction in Suction Pipe, Loss of head due to friction in suction pipe formula is defined as the energy loss that occurs in a suction pipe of a reciprocating pump due to frictional forces, which affects the pump's overall performance and efficiency. Head Loss due to Friction in Suction Pipe is denoted by h_fs symbol.

How to evaluate Loss of head due to friction in suction pipe using this online evaluator? To use this online evaluator for Loss of head due to friction in suction pipe, enter Coefficient of Friction (μ_f), Length of suction pipe (l_s), Diameter of suction pipe (D_s), Area of cylinder (A), Area of Suction Pipe (a_s), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk) and hit the calculate button.

FAQs on Loss of head due to friction in suction pipe

What is the formula to find Loss of head due to friction in suction pipe?

The formula of Loss of head due to friction in suction pipe is expressed as Head Loss due to Friction in Suction Pipe = ((2*Coefficient of Friction*Length of suction pipe)/(Diameter of suction pipe*[g]))*(((Area of cylinder/Area of Suction Pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2). Here is an example- 0.654872 = ((2*0.4*2.5)/(0.002*[g]))*(((0.6/0.39)*2.5*0.09*sin(12.8))^2).

How to calculate Loss of head due to friction in suction pipe?

With Coefficient of Friction (μ_f), Length of suction pipe (l_s), Diameter of suction pipe (D_s), Area of cylinder (A), Area of Suction Pipe (a_s), Angular Velocity (ω), Radius of crank (r) & Angle turned by crank (θ_crnk) we can find Loss of head due to friction in suction pipe using the formula - Head Loss due to Friction in Suction Pipe = ((2*Coefficient of Friction*Length of suction pipe)/(Diameter of suction pipe*[g]))*(((Area of cylinder/Area of Suction Pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2). This formula also uses Gravitational acceleration on Earth constant(s) and Sine (sin) function(s).

Can the Loss of head due to friction in suction pipe be negative?

Yes, the Loss of head due to friction in suction pipe, measured in Length can be negative.

Which unit is used to measure Loss of head due to friction in suction pipe?

Loss of head due to friction in suction 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 friction in suction pipe can be measured.

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Loss of head due to friction in suction pipe Formula

Loss of head due to friction in suction pipe Example

Loss of head due to friction in suction pipe Solution

Loss of head due to friction in suction pipe Formula Elements

Other formulas in Single Acting Pumps category

How to Evaluate Loss of head due to friction in suction pipe?

FAQs on Loss of head due to friction in suction pipe

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