Loss of head due to friction in delivery 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 delivery pipe is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance.ⓘ Length of delivery pipe [l_d]			+10% -10%
✖Diameter of delivery pipe is the internal diameter of the pipe that connects the pump to the point of application in a single acting pump system.ⓘ Diameter of delivery pipe [D_d]			+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 delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application.ⓘ Area of delivery pipe [a_d]			+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 delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.ⓘ Loss of head due to friction in delivery pipe [h_fd]

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Loss of head due to friction in delivery pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_fd = ((2*μ_f*l_d)/(D_d*[g]))*(((A/a_d)*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 delivery pipe - (Measured in Meter) - Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.
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 delivery pipe - (Measured in Meter) - Length of delivery pipe is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance.
Diameter of delivery pipe - (Measured in Meter) - Diameter of delivery pipe is the internal diameter of the pipe that connects the pump to the point of application in a single acting pump system.
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 delivery pipe - (Measured in Square Meter) - Area of delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application.
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 delivery pipe: 5 Meter --> 5 Meter No Conversion Required
Diameter of delivery pipe: 0.003 Meter --> 0.003 Meter No Conversion Required
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of delivery pipe: 0.25 Square Meter --> 0.25 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_fd = ((2*μ_f*l_d)/(D_d*[g]))*(((A/a_d)*ω*r*sin(θ_crnk))^2) --> ((2*0.4*5)/(0.003*[g]))*(((0.6/0.25)*2.5*0.09*sin(12.8))^2)

Evaluating ... ...

h_fd = 2.12492905296818

STEP 3: Convert Result to Output's Unit

2.12492905296818 Meter --> No Conversion Required

FINAL ANSWER

2.12492905296818 ≈ 2.124929 Meter <-- Head loss due to friction in delivery 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 delivery pipe Formula

LaTeX Go

What is Head Loss due to Friction in Delivery Pipe?

Head loss due to friction in a delivery pipe is the reduction in fluid pressure as it flows through the pipe. This occurs because of resistance caused by the pipe's surface roughness, length, and fluid characteristics. The frictional losses can reduce the efficiency of fluid transport, requiring additional energy to maintain flow. Minimizing head loss is important in designing efficient piping systems for water supply, oil transport, and other fluid-based applications.

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

Loss of head due to friction in delivery pipe calculator uses 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) to calculate the Head loss due to friction in delivery pipe, Loss of head due to friction in delivery pipe formula is defined as the energy loss that occurs due to friction in the delivery pipe of a reciprocating pump, which affects the pump's overall performance and efficiency. It is an important parameter to consider in the design and operation of pumping systems. Head loss due to friction in delivery pipe is denoted by h_fd symbol.

How to calculate Loss of head due to friction in delivery pipe using this online calculator? To use this online calculator for Loss of head due to friction in delivery pipe, enter Coefficient of Friction (μ_f), Length of delivery pipe (l_d), Diameter of delivery pipe (D_d), Area of cylinder (A), Area of delivery pipe (a_d), 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 delivery pipe calculation can be explained with given input values -> 2.124929 = ((2*0.4*5)/(0.003*[g]))*(((0.6/0.25)*2.5*0.09*sin(12.8))^2).

FAQ

What is Loss of head due to friction in delivery pipe?

Loss of head due to friction in delivery pipe formula is defined as the energy loss that occurs due to friction in the delivery pipe of a reciprocating pump, which affects the pump's overall performance and efficiency. It is an important parameter to consider in the design and operation of pumping systems and is represented as h_fd = ((2*μ_f*l_d)/(D_d*[g]))*(((A/a_d)*ω*r*sin(θ_crnk))^2) or 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). Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces in contact in a single acting pump, Length of delivery pipe is the distance from the pump to the point of use in a single acting pump system, affecting overall system performance, Diameter of delivery pipe is the internal diameter of the pipe that connects the pump to the point of application in a single acting pump system, 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 delivery pipe is the cross-sectional area of the pipe that carries fluid from a single acting pump to the point of application, 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 delivery pipe?

Loss of head due to friction in delivery pipe formula is defined as the energy loss that occurs due to friction in the delivery pipe of a reciprocating pump, which affects the pump's overall performance and efficiency. It is an important parameter to consider in the design and operation of pumping systems is calculated using 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). To calculate Loss of head due to friction in delivery pipe, you need Coefficient of Friction (μ_f), Length of delivery pipe (l_d), Diameter of delivery pipe (D_d), Area of cylinder (A), Area of delivery pipe (a_d), 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 delivery pipe, Diameter of delivery pipe, Area of cylinder, Area of delivery 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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