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%
✖The 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.ⓘ 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]			+10% -10%

✖Head loss due to friction is defined as ratio of product of coeff 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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Formula

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Loss of head due to friction given area of Pipe

Formula

`"h"_{"f"} = ((4*"μ"_{"f"}*"L"_{"1"})/("D"_{"d"}*2*"[g]"))*(("A"/"a")*"ω"^2*"r"*sin("θ"))`

Example

`"25.49603m"=((4*"0.4"*"120m")/("0.3m"*2*"[g]"))*(("0.6m²"/"0.1m²")*("2.5rad/s")^2*"0.09m"*sin("12.8rad"))`

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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))
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 coeff 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) - The 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.
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 Radian --> 12.8 Radian No Conversion Required

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)) --> ((4*0.4*120)/(0.3*2*[g]))*((0.6/0.1)*2.5^2*0.09*sin(12.8))

Evaluating ... ...

h_f = 25.4960267889302

STEP 3: Convert Result to Output's Unit

25.4960267889302 Meter --> No Conversion Required

FINAL ANSWER

25.4960267889302 ≈ 25.49603 Meter <-- Head loss due to friction

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Flow Parameters » Loss of head due to friction given area of Pipe

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< 12 Flow Parameters Calculators

Loss of head due to friction given area of Pipe

Go 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))

Pressure head due to acceleration

Go Pressure Head due to Acceleration = (Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe)

Acceleration of liquid in pipe

Go Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)

Velocity of Liquid in Pipe

Go Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)

Rate of flow of liquid into air vessel

Go Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))

Mean Velocity of Air Vessel given Length of Stroke

Go Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)

Mean velocity of air vessels

Go Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)

Weight of Water delivered per second given Density and Discharge

Go Weight of Water = Water Density*Acceleration Due to Gravity*Discharge

Mass of water in pipe

Go Mass of Water = Water Density*Area of pipe*Length of Pipe

Coefficient of discharge of pump

Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Weight of water delivered per second

Go Weight of liquid = Specific Weight*Discharge

Volume of liquid delivered given weight of liquid

Go Volume = Weight of liquid/Specific Weight

Loss of head due to friction given area of 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 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, The Loss of head due to friction given area of Pipe formula 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 the acceleration due to gravity. 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) 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 -> 25.49603 = ((4*0.4*120)/(0.3*2*[g]))*((0.6/0.1)*2.5^2*0.09*sin(12.8)).

FAQ

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

The Loss of head due to friction given area of Pipe formula 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 the acceleration due to gravity and is represented as h_f = ((4*μ_f*L₁)/(D_d*2*[g]))*((A/a)*ω^2*r*sin(θ)) 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, The 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, 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?

The Loss of head due to friction given area of Pipe formula 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 the acceleration due to gravity 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). 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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