Loss of head due to friction in suction pipe Calculator

✖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.ⓘ Coefficient of Friction [μ_f]			+10% -10%
✖Length of suction pipe in meters is denoted by the symbol l_s.ⓘ Length of suction pipe [l_s]			+10% -10%
✖Diameter of suction pipe is the value of diameter.ⓘ Diameter of suction pipe [D_s]			+10% -10%
✖Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.ⓘ Area of cylinder [A]			+10% -10%
✖Area of suction pipe is the cross-sectional area through which the liquid is sucked.ⓘ Area of Suction Pipe [a_s]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke.ⓘ Radius of crank [r]			+10% -10%
✖Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.ⓘ Angle turned by crank [θ]			+10% -10%

✖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.ⓘ Loss of head due to friction in suction pipe [h_fs]

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Formula

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Loss of head due to friction in suction pipe

Formula

`"h"_{"fs"} = ((2*"μ"_{"f"}*"l"_{"s"})/("D"_{"s"}*"[g]"))*((("A"/"a"_{"s"})*"ω"*"r"*sin("θ"))^2)`

Example

`"0.002619m"=((2*"0.4"*"2.5m")/("0.5m"*"[g]"))*((("0.6m²"/"0.39m²")*"2.5rad/s"*"0.09m"*sin("12.8rad"))^2)`

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Loss of head due to friction in suction pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_fs = ((2*μ_f*l_s)/(D_s*[g]))*(((A/a_s)*ω*r*sin(θ))^2)
This formula uses 1 Constants, 1 Functions, 9 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sin(Angle)

Variables Used

Head loss due to friction in suction pipe - (Measured in Meter) - 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.
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.
Length of suction pipe - (Measured in Meter) - Length of suction pipe in meters is denoted by the symbol l_s.
Diameter of suction pipe - (Measured in Meter) - Diameter of suction pipe is the value of diameter.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
Area of Suction Pipe - (Measured in Square Meter) - Area of suction pipe is the cross-sectional area through which the liquid is sucked.
Angular Velocity - (Measured in Radian per Second) - 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.
Radius of crank - (Measured in Meter) - Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke.
Angle turned by crank - (Measured in Radian) - Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.4 --> No Conversion Required
Length of suction pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Diameter of suction pipe: 0.5 Meter --> 0.5 Meter No Conversion Required
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of Suction Pipe: 0.39 Square Meter --> 0.39 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Radius of crank: 0.09 Meter --> 0.09 Meter No Conversion Required
Angle turned by crank: 12.8 Radian --> 12.8 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_fs = ((2*μ_f*l_s)/(D_s*[g]))*(((A/a_s)*ω*r*sin(θ))^2) --> ((2*0.4*2.5)/(0.5*[g]))*(((0.6/0.39)*2.5*0.09*sin(12.8))^2)

Evaluating ... ...

h_fs = 0.00261948847752487

STEP 3: Convert Result to Output's Unit

0.00261948847752487 Meter --> No Conversion Required

FINAL ANSWER

0.00261948847752487 ≈ 0.002619 Meter <-- Head loss due to friction in suction pipe

(Calculation completed in 00.020 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 9 Single Acting Pumps Calculators

Loss of head due to friction in delivery pipe

Go Head loss due to friction in delivery pipe = ((2*Coefficient of Friction*Length of delivery pipe)/(Diameter of delivery pipe*[g]))*(((Area of cylinder/Area of delivery pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2)

Loss of head due to friction in suction pipe

Go 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)

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes

Go Work = ((Density*Acceleration Due to Gravity*Area of cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head loss due to friction in delivery pipe)

Work Done by Single-acting Pump considering all Head Losses

Go Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe))

Pressure Head due to Acceleration in Delivery Pipe

Go Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe)

Pressure Head due to Acceleration in Suction Pipe

Go Pressure head due to acceleration in suction pipe = (Length of suction pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of Suction Pipe)

Velocity of water in suction and delivery pipes due to acceleration or retardation

Go Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))

Work done against friction in delivery pipe

Go Work = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe

Work done against friction in suction pipe

Go Work = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

Loss of head due to friction in suction pipe Formula

What is head loss due to friction?

In fluid flow, friction loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

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

Loss of head due to friction in suction pipe calculator 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 calculate 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 calculate Loss of head due to friction in suction pipe using this online calculator? To use this online calculator 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) and hit the calculate button. Here is how the Loss of head due to friction in suction pipe calculation can be explained with given input values -> 0.002619 = ((2*0.4*2.5)/(0.5*[g]))*(((0.6/0.39)*2.5*0.09*sin(12.8))^2).

FAQ

What is Loss of head 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 and is represented as h_fs = ((2*μ_f*l_s)/(D_s*[g]))*(((A/a_s)*ω*r*sin(θ))^2) or 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). 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, Length of suction pipe in meters is denoted by the symbol l_s, Diameter of suction pipe is the value of diameter, Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, Area of suction pipe is the cross-sectional area through which the liquid is sucked, 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, Radius of crank is defined as the distance between crank pin and crank center, i.e. half stroke & Angle turned by crank in radians is defined as the product of 2 times of pi, speed(rpm), and time.

How to calculate Loss of head 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 is calculated using 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 calculate Loss of head due to friction in suction pipe, you need 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). With our tool, you need to enter the respective value for Coefficient of Friction, Length of suction pipe, Diameter of suction pipe, Area of cylinder, Area of Suction Pipe, Angular Velocity, Radius of crank & Angle turned by crank and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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