Total Required Power Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%

✖Power is the amount of energy liberated per second in a device.ⓘ Total Required Power [P]

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Formula

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Total Required Power

Formula

`"P" = "dp|dr"*"A"*"V"_{"mean"}*"L"_{"p"}`

Example

`"34.34W"="17N/m³"*"2m²"*"10.1m/s"*"0.10m"`

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Total Required Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe
P = dp|dr*A*V_mean*L_p
This formula uses 5 Variables

Variables Used

Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Cross Sectional Area of Pipe - (Measured in Square Meter) - Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
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

Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Cross Sectional Area of Pipe: 2 Square Meter --> 2 Square Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = dp|dr*A*V_mean*L_p --> 17*2*10.1*0.1

Evaluating ... ...

P = 34.34

STEP 3: Convert Result to Output's Unit

34.34 Watt --> No Conversion Required

FINAL ANSWER

34.34 Watt <-- Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Darcy – Weisbach Equation » Total Required Power

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National Institute of Technology Karnataka (NITK), Surathkal

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< 14 Darcy – Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)

Length of Pipe given Head Loss due to Frictional Resistance

Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)

Head Loss due to Frictional Resistance

Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)

Diameter of Pipe given Friction Factor

Go Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)

Dynamic Viscosity given Friction Factor

Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Density of Fluid given Friction Factor

Go Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)

Density of Liquid given Shear Stress and Darcy Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity)

Pressure Gradient given Total Required Power

Go Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)

Area of Pipe given Total Required Power

Go Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)

Shear Stress given Friction Factor and Density

Go Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8

Total Required Power

Go Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe

Density of Liquid using Mean Velocity given Shear Stress with Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))

Shear Velocity

Go Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)

Reynolds Number given Friction Factor

Go Reynolds Number = 64/Darcy Friction Factor

Total Required Power Formula

Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe
P = dp|dr*A*V_mean*L_p

What is Power ?

In physics, power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.

How to Calculate Total Required Power?

Total Required Power calculator uses Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe to calculate the Power, The Total Required Power is defined as power required due to loss of frictional resistance of fluid due to boundary and viscous flow. Power is denoted by P symbol.

How to calculate Total Required Power using this online calculator? To use this online calculator for Total Required Power, enter Pressure Gradient (dp|dr), Cross Sectional Area of Pipe (A), Mean Velocity (V_mean) & Length of Pipe (L_p) and hit the calculate button. Here is how the Total Required Power calculation can be explained with given input values -> 34.34 = 17*2*10.1*0.1.

FAQ

What is Total Required Power?

The Total Required Power is defined as power required due to loss of frictional resistance of fluid due to boundary and viscous flow and is represented as P = dp|dr*A*V_mean*L_p or Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe. Pressure Gradient is the change in pressure with respect to radial distance of element, Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Length of Pipe describes the length of the pipe in which the liquid is flowing.

How to calculate Total Required Power?

The Total Required Power is defined as power required due to loss of frictional resistance of fluid due to boundary and viscous flow is calculated using Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe. To calculate Total Required Power, you need Pressure Gradient (dp|dr), Cross Sectional Area of Pipe (A), Mean Velocity (V_mean) & Length of Pipe (L_p). With our tool, you need to enter the respective value for Pressure Gradient, Cross Sectional Area of Pipe, Mean Velocity & 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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