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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 ratio of product of friction coeff, length of suction pipe, and velocity squared to product of diameter of pipe and acceleration due to gravity. 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.

0.0026 = (\frac{2 \cdot 0.4 \cdot 2.5}{0.5 \cdot 9.8066}) \cdot ({((\frac{0.6}{0.39}) \cdot 2.5 \cdot 0.09 \cdot \sin (12.8))}^{2})

0.0026m = (\frac{2 \cdot 0.4 \cdot 2.5m}{0.5m \cdot 9.8066m/s²}) \cdot ({((\frac{0.6m²}{0.39m²}) \cdot 2.5rad/s \cdot 0.09m \cdot \sin (12.8rad))}^{2})

0.0026 = (\frac{2 \cdot 0.4 \cdot 2.5}{0.5 \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}{0.5m \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}{0.5m \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}{0.5 \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 = 0.00261948847752487m

LAST Step Rounding Answer

∴

h fs = 0.0026m

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 ratio of product of friction coeff, length of suction pipe, and velocity squared to product of diameter of pipe and acceleration due to gravity.

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

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

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 in meters is denoted by the symbol l_s.

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 value of diameter.

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 defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.

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 through which the liquid is sucked.

Symbol: a_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Suction Pipe

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

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 defined as the distance between crank pin and crank center, i.e. half stroke.

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 in radians is defined as the product of 2 times of pi, speed(rpm), and time.

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 = (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 = (\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, The Loss of head due to friction in suction pipe formula is defined as the ratio of product of coefficient of friction, length of suction pipe, and velocity squared to the product of diameter of pipe and acceleration due to gravity. 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- 0.002619 = ((2*0.4*2.5)/(0.5*[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 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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