Loss of head due to friction given area of 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 Pipe 1 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 1 [L₁]			+10% -10%
✖Diameter of Delivery Pipe is the value of diameter of the pipe of circular cross section.ⓘ Diameter of Delivery Pipe [D_d]			+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 Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.ⓘ Area of Pipe [a]			+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_c]			+10% -10%

✖Head Loss Due to Friction is defined as ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice acceleration due to gravity.ⓘ Loss of head due to friction given area of Pipe [h_f]

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Loss of head due to friction given area of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss Due to Friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of Delivery Pipe*2*[g]))*(Area of Cylinder/Area of Pipe*Angular Velocity^2*Radius of Crank*sin(Angle Turned By Crank))
h_f = ((4*μ_f*L₁)/(D_d*2*[g]))*(A/a*ω^2*r*sin(θ_c))
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 - (Measured in Meter) - Head Loss Due to Friction is defined as ratio of product of coefficient of friction, length of pipe, and velocity squared to the product of diameter of pipe and twice 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 Pipe 1 - (Measured in Meter) - Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.
Diameter of Delivery Pipe - (Measured in Meter) - Diameter of Delivery Pipe is the value of diameter of the pipe of circular cross section.
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 Pipe - (Measured in Square Meter) - Area of Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.
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 Pipe 1: 120 Meter --> 120 Meter No Conversion Required
Diameter of Delivery Pipe: 0.3 Meter --> 0.3 Meter No Conversion Required
Area of Cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Area of Pipe: 0.1 Square Meter --> 0.1 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 Degree --> 0.223402144255232 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = ((4*μ_f*L₁)/(D_d*2*[g]))*(A/a*ω^2*r*sin(θ_c)) --> ((4*0.4*120)/(0.3*2*[g]))*(0.6/0.1*2.5^2*0.09*sin(0.223402144255232))

Evaluating ... ...

h_f = 24.3989922582105

STEP 3: Convert Result to Output's Unit

24.3989922582105 Meter --> No Conversion Required

FINAL ANSWER

24.3989922582105 ≈ 24.39899 Meter <-- Head Loss Due to Friction

(Calculation completed in 00.005 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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Loss of head due to friction given area of Pipe Formula

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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 given area of Pipe?

Loss of head due to friction given area of Pipe calculator uses Head Loss Due to Friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of Delivery Pipe*2*[g]))*(Area of Cylinder/Area of Pipe*Angular Velocity^2*Radius of Crank*sin(Angle Turned By Crank)) to calculate the Head Loss Due to Friction, Loss of head due to friction given area of Pipe formula is defined as the measure of the reduction in the total head of a fluid in a piping system due to the frictional forces that occur between the fluid and the pipe walls, which affects the overall efficiency of the pump. Head Loss Due to Friction is denoted by h_f symbol.

How to calculate Loss of head due to friction given area of Pipe using this online calculator? To use this online calculator for Loss of head due to friction given area of Pipe, enter Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Diameter of Delivery Pipe (D_d), Area of Cylinder (A), Area of Pipe (a), Angular Velocity (ω), Radius of Crank (r) & Angle Turned By Crank (θ_c) and hit the calculate button. Here is how the Loss of head due to friction given area of Pipe calculation can be explained with given input values -> 24.39899 = ((4*0.4*120)/(0.3*2*[g]))*(0.6/0.1*2.5^2*0.09*sin(0.223402144255232)).

FAQ

What is Loss of head due to friction given area of Pipe?

Loss of head due to friction given area of Pipe formula is defined as the measure of the reduction in the total head of a fluid in a piping system due to the frictional forces that occur between the fluid and the pipe walls, which affects the overall efficiency of the pump and is represented as h_f = ((4*μ_f*L₁)/(D_d*2*[g]))*(A/a*ω^2*r*sin(θ_c)) or Head Loss Due to Friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of Delivery Pipe*2*[g]))*(Area of Cylinder/Area of Pipe*Angular Velocity^2*Radius of Crank*sin(Angle Turned By Crank)). 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 Pipe 1 describes the length of the pipe in which the liquid is flowing, Diameter of Delivery Pipe is the value of diameter of the pipe of circular cross section, 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 Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a, 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 given area of Pipe?

Loss of head due to friction given area of Pipe formula is defined as the measure of the reduction in the total head of a fluid in a piping system due to the frictional forces that occur between the fluid and the pipe walls, which affects the overall efficiency of the pump is calculated using Head Loss Due to Friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of Delivery Pipe*2*[g]))*(Area of Cylinder/Area of Pipe*Angular Velocity^2*Radius of Crank*sin(Angle Turned By Crank)). To calculate Loss of head due to friction given area of Pipe, you need Coefficient of Friction (μ_f), Length of Pipe 1 (L₁), Diameter of Delivery Pipe (D_d), Area of Cylinder (A), Area of Pipe (a), Angular Velocity (ω), Radius of Crank (r) & Angle Turned By Crank (θ_c). With our tool, you need to enter the respective value for Coefficient of Friction, Length of Pipe 1, Diameter of Delivery Pipe, Area of Cylinder, Area of 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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