Loss of head in equivalent pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])
Hloss = (4*16*(Q^2)*μ*L)/((pi^2)*2*(Deq^5)*[g])
This formula uses 2 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Loss of Head in Equivalent Pipe - (Measured in Meter) - Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters.
Discharge through Pipe - (Measured in Cubic Meter per Second) - Discharge through pipe is the rate of flow of a liquid through a pipe.
Coefficient of Friction of Pipe - Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Diameter of Equivalent Pipe - (Measured in Meter) - Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.
STEP 1: Convert Input(s) to Base Unit
Discharge through Pipe: 0.025 Cubic Meter per Second --> 0.025 Cubic Meter per Second No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Diameter of Equivalent Pipe: 0.165 Meter --> 0.165 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hloss = (4*16*(Q^2)*μ*L)/((pi^2)*2*(Deq^5)*[g]) --> (4*16*(0.025^2)*0.01*1200)/((pi^2)*2*(0.165^5)*[g])
Evaluating ... ...
Hloss = 20.2754779094366
STEP 3: Convert Result to Output's Unit
20.2754779094366 Meter --> No Conversion Required
FINAL ANSWER
20.2754779094366 20.27548 Meter <-- Loss of Head in Equivalent Pipe
(Calculation completed in 00.020 seconds)

Credits

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PSG College of Technology (PSGCT), Coimbatore
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Indian Institute of Technology (IIT), Bombay
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14 Pressure and Flow Head Calculators

Difference in liquid level in three compound pipes with same friction coefficient
Go Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3))
Pressure rise for sudden closure of valve in elastic pipe
Go Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe))))))
Loss of Head due to Obstruction in Pipe
Go Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2
Total head at inlet of pipe for head available at base of nozzle
Go Total Head at Inlet of Pipe = Head Base of Nozzle+(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))
Head available at Base of Nozzle
Go Head Base of Nozzle = Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))
Loss of head in equivalent pipe
Go Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])
Intensity of pressure wave produced for gradual closure of valves
Go Intensity of Pressure of Wave = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Time Required to Close Valve
Loss of Head due to Sudden Contraction
Go Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2
Loss of head due to sudden enlargement at any particular section of pipe
Go Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])
Loss of Head due to Bend in Pipe
Go Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])
Total head available at inlet of pipe for efficiency of power transmission
Go Total Head at Inlet of Pipe = Head Loss Due to Friction in Pipe/(1-Efficiency for Pipe)
Head Loss due to Friction for Efficiency of Power Transmission
Go Head Loss Due to Friction in Pipe = Total Head at Inlet of Pipe*(1-Efficiency for Pipe)
Loss of Head at Entrance of Pipe
Go Head Loss at Pipe Entrance = 0.5*(Flow Velocity through Pipe^2)/(2*[g])
Loss of head at exit of pipe
Go Head Loss at Pipe Exit = (Flow Velocity through Pipe^2)/(2*[g])

Loss of head in equivalent pipe Formula

Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])
Hloss = (4*16*(Q^2)*μ*L)/((pi^2)*2*(Deq^5)*[g])

What is coefficient of friction?

The coefficient of friction is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

What is an equivalent pipe?

If several pipes of different lengths and diameter are connected in series, they can be replaced by a single pipe called an equivalent pipe. This equivalent pipe of the same diameter will have the same loss head and discharge that several pipes connected in series will have.

How to Calculate Loss of head in equivalent pipe?

Loss of head in equivalent pipe calculator uses Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g]) to calculate the Loss of Head in Equivalent Pipe, The Loss of head in equivalent pipe formula is known while considering the discharge, coefficient of friction, length, and diameter of the equivalent pipe. Loss of Head in Equivalent Pipe is denoted by Hloss symbol.

How to calculate Loss of head in equivalent pipe using this online calculator? To use this online calculator for Loss of head in equivalent pipe, enter Discharge through Pipe (Q), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Diameter of Equivalent Pipe (Deq) and hit the calculate button. Here is how the Loss of head in equivalent pipe calculation can be explained with given input values -> 20.27548 = (4*16*(0.025^2)*0.01*1200)/((pi^2)*2*(0.165^5)*[g]).

FAQ

What is Loss of head in equivalent pipe?
The Loss of head in equivalent pipe formula is known while considering the discharge, coefficient of friction, length, and diameter of the equivalent pipe and is represented as Hloss = (4*16*(Q^2)*μ*L)/((pi^2)*2*(Deq^5)*[g]) or Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g]). Discharge through pipe is the rate of flow of a liquid through a pipe, Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid, Length of Pipe describes the length of the pipe in which the liquid is flowing & Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.
How to calculate Loss of head in equivalent pipe?
The Loss of head in equivalent pipe formula is known while considering the discharge, coefficient of friction, length, and diameter of the equivalent pipe is calculated using Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g]). To calculate Loss of head in equivalent pipe, you need Discharge through Pipe (Q), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Diameter of Equivalent Pipe (Deq). With our tool, you need to enter the respective value for Discharge through Pipe, Coefficient of Friction of Pipe, Length of Pipe & Diameter of Equivalent Pipe 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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