Power transmission through pipes Calculator

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D]			+10% -10%
✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Flow Velocity through Pipe [V_f]			+10% -10%
✖Total Head at Inlet of Pipe is the measure of fluid's potential at the entrance or the inlet of the pipe.ⓘ Total Head at Inlet of Pipe [H_in]			+10% -10%
✖Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.ⓘ Coefficient of Friction of Pipe [μ]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L]			+10% -10%

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power transmission through pipes [PT]

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Power transmission through pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(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])))
PT = (ρ*[g]*pi*(D^2)*V_f/4000)*(H_in-(4*μ*L*(V_f^2)/(D*2*[g])))
This formula uses 2 Constants, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Flow Velocity through Pipe - (Measured in Meter per Second) - Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
Total Head at Inlet of Pipe - (Measured in Meter) - Total Head at Inlet of Pipe is the measure of fluid's potential at the entrance or the inlet of the 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.

STEP 1: Convert Input(s) to Base Unit

Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
Total Head at Inlet of Pipe: 3193.2 Meter --> 3193.2 Meter No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PT = (ρ*[g]*pi*(D^2)*V_f/4000)*(H_in-(4*μ*L*(V_f^2)/(D*2*[g]))) --> (997*[g]*pi*(0.12^2)*12.5/4000)*(3193.2-(4*0.01*1200*(12.5^2)/(0.12*2*[g])))

Evaluating ... ...

PT = 9.10447626821878

STEP 3: Convert Result to Output's Unit

9.10447626821878 Watt -->0.00910447626821878 Kilowatt (Check conversion here)

FINAL ANSWER

0.00910447626821878 ≈ 0.009104 Kilowatt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Mechanical » Power Transmission » Power transmission through pipes

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Power Transmission Calculators

Power transmission through pipes

LaTeX Go Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(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])))

Efficiency of Power Transmission through Nozzle

LaTeX Go Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))

Power Lost ue to Sudden Enlargement

LaTeX Go Power = Density of Fluid*[g]*Discharge through Pipe*Loss of Head Sudden Enlargement

Efficiency of power transmission in flow through pipes

LaTeX Go Efficiency for Pipe = (Total Head at Inlet of Pipe-Head Loss Due to Friction in Pipe)/Total Head at Inlet of Pipe

Power transmission through pipes Formula

LaTeX Go

What is the condition for maximum power transmission in pipes?

The power transmitted through a pipe will be maximum when the head loss due to friction will be one-third of the total head at the inlet.

How hydraulic power is transmitted?

The hydraulic power is transmitted by conveying fluid through a pipeline. For example, water from a reservoir at a high altitude is often conveyed by a pipeline to an impulse hydraulic turbine in an hydroelectric power station. The hydrostatic head of water is thus transmitted by a pipeline.

How to Calculate Power transmission through pipes?

Power transmission through pipes calculator uses Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(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]))) to calculate the Power Transmitted, The Power transmission through pipes formula is known while considering the length, diameter, and flow velocity of the pipe, total head available at the inlet of pipe, and coefficient of friction. Power Transmitted is denoted by PT symbol.

How to calculate Power transmission through pipes using this online calculator? To use this online calculator for Power transmission through pipes, enter Density (ρ), Diameter of Pipe (D), Flow Velocity through Pipe (V_f), Total Head at Inlet of Pipe (H_in), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) and hit the calculate button. Here is how the Power transmission through pipes calculation can be explained with given input values -> 9.1E-6 = (997*[g]*pi*(0.12^2)*12.5/4000)*(3193.2-(4*0.01*1200*(12.5^2)/(0.12*2*[g]))).

FAQ

What is Power transmission through pipes?

The Power transmission through pipes formula is known while considering the length, diameter, and flow velocity of the pipe, total head available at the inlet of pipe, and coefficient of friction and is represented as PT = (ρ*[g]*pi*(D^2)*V_f/4000)*(H_in-(4*μ*L*(V_f^2)/(D*2*[g]))) or Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(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]))). The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe, Total Head at Inlet of Pipe is the measure of fluid's potential at the entrance or the inlet of the 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.

How to calculate Power transmission through pipes?

The Power transmission through pipes formula is known while considering the length, diameter, and flow velocity of the pipe, total head available at the inlet of pipe, and coefficient of friction is calculated using Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(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]))). To calculate Power transmission through pipes, you need Density (ρ), Diameter of Pipe (D), Flow Velocity through Pipe (V_f), Total Head at Inlet of Pipe (H_in), Coefficient of Friction of Pipe (μ) & Length of Pipe (L). With our tool, you need to enter the respective value for Density, Diameter of Pipe, Flow Velocity through Pipe, Total Head at Inlet of Pipe, Coefficient of Friction of Pipe & Length of 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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