Loss of head due to friction in suction pipe Calculator

✖Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces in contact in a single acting pump.ⓘ Coefficient of Friction [μ_f]			+10% -10%
✖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.ⓘ Length of suction pipe [l_s]			+10% -10%
✖Diameter of suction pipe is the diameter of the pipe that supplies fluid to the single acting reciprocating pump's cylinder.ⓘ Diameter of suction pipe [D_s]			+10% -10%
✖Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.ⓘ Area of cylinder [A]			+10% -10%
✖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.ⓘ Area of Suction Pipe [a_s]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖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.ⓘ Radius of crank [r]			+10% -10%
✖Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.ⓘ Angle turned by crank [θ_crnk]			+10% -10%

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

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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_crnk))^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 the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance.
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.
Length of suction pipe - (Measured in Meter) - 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.
Diameter of suction pipe - (Measured in Meter) - Diameter of suction pipe is the diameter of the pipe that supplies fluid to the single acting reciprocating pump's cylinder.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.
Area of Suction Pipe - (Measured in Square Meter) - 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.
Angular Velocity - (Measured in Radian per Second) - 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.
Radius of crank - (Measured in Meter) - 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.
Angle turned by crank - (Measured in Radian) - Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.

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: 0.002 Meter --> 0.002 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_crnk))^2) --> ((2*0.4*2.5)/(0.002*[g]))*(((0.6/0.39)*2.5*0.09*sin(12.8))^2)

Evaluating ... ...

h_fs = 0.654872119381217

STEP 3: Convert Result to Output's Unit

0.654872119381217 Meter --> No Conversion Required

FINAL ANSWER

0.654872119381217 ≈ 0.654872 Meter <-- Head Loss due to Friction in Suction Pipe

(Calculation completed in 00.020 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Single Acting Pumps Calculators

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

LaTeX Go Work done against friction in suction pipe = ((Density*[g]*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

LaTeX Go Work done against friction in delivery pipe = (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))

Work done against friction in delivery pipe

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

Work done against friction in suction pipe

LaTeX Go Work done against friction in suction pipe = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

Loss of head due to friction in suction pipe Formula

LaTeX Go

What is Head Loss due to Friction in Suction Pipe?

Head loss due to friction in a suction pipe is the reduction in fluid pressure as it flows through the pipe towards the pump. This pressure drop occurs because of resistance from the pipe's surface, length, bends, and the viscosity of the fluid. The frictional head loss affects the pump's ability to draw fluid efficiently, potentially leading to reduced flow rates or cavitation. Proper pipe design and material selection can help minimize these losses for optimal pump performance.

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, 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 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_crnk) 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 -> 0.654872 = ((2*0.4*2.5)/(0.002*[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?

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 and is represented as h_fs = ((2*μ_f*l_s)/(D_s*[g]))*(((A/a_s)*ω*r*sin(θ_crnk))^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). Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces in contact in a single acting pump, 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, Diameter of suction pipe is the diameter of the pipe that supplies fluid to the single acting reciprocating pump's cylinder, Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump, 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, 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, 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 & Angle turned by crank is the rotation of the crankshaft in a single acting pump that converts rotary motion into reciprocating motion.

How to calculate Loss of head 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 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_crnk). 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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