Area of Pipe given Total Required Power Calculator

✖Power is the amount of energy liberated per second in a device.ⓘ Power [P]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+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%

✖Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.ⓘ Area of Pipe given Total Required Power [A]

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Formula

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Area of Pipe given Total Required Power

Formula

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

Example

`"49.50495m²"="850W"/("0.10m"*"17N/m³"*"10.1m/s")`

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Area of Pipe given Total Required Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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.

STEP 1: Convert Input(s) to Base Unit

Power: 850 Watt --> 850 Watt No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = P/(L_p*dp|dr*V_mean) --> 850/(0.1*17*10.1)

Evaluating ... ...

A = 49.5049504950495

STEP 3: Convert Result to Output's Unit

49.5049504950495 Square Meter --> No Conversion Required

FINAL ANSWER

49.5049504950495 ≈ 49.50495 Square Meter <-- Cross Sectional Area of Pipe

(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 » Area of Pipe given Total Required Power

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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

Area of Pipe given Total Required Power Formula

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

What is Power ?

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 Area of Pipe given Total Required Power?

Area of Pipe given Total Required Power calculator uses Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity) to calculate the Cross Sectional Area of Pipe, The Area of Pipe given Total Required Power is defined as the area of the section in the flow, measured perpendicular to the flow. Cross Sectional Area of Pipe is denoted by A symbol.

How to calculate Area of Pipe given Total Required Power using this online calculator? To use this online calculator for Area of Pipe given Total Required Power, enter Power (P), Length of Pipe (L_p), Pressure Gradient (dp|dr) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Area of Pipe given Total Required Power calculation can be explained with given input values -> 49.50495 = 850/(0.1*17*10.1).

FAQ

What is Area of Pipe given Total Required Power?

The Area of Pipe given Total Required Power is defined as the area of the section in the flow, measured perpendicular to the flow and is represented as A = P/(L_p*dp|dr*V_mean) or Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity). Power is the amount of energy liberated per second in a device, Length of Pipe describes the length of the pipe in which the liquid is flowing, Pressure Gradient is the change in pressure with respect to radial distance of element & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Area of Pipe given Total Required Power?

The Area of Pipe given Total Required Power is defined as the area of the section in the flow, measured perpendicular to the flow is calculated using Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity). To calculate Area of Pipe given Total Required Power, you need Power (P), Length of Pipe (L_p), Pressure Gradient (dp|dr) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Power, Length of Pipe, Pressure Gradient & Mean Velocity 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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