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*Vmean*Lp
This formula uses 5 Variables
Variables Used
Power - (Measured in Watt) - The Power refers to the rate at which energy is transferred or converted by the hydraulic system.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Cross Sectional Area of Pipe - (Measured in Square Meter) - The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another 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*Vmean*Lp --> 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 00.012 seconds)

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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​ LaTeX ​ Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
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Dynamic Viscosity given Friction Factor
​ LaTeX ​ Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Total Required Power Formula

​LaTeX ​Go
Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe
P = dp|dr*A*Vmean*Lp

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 formula 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 (Vmean) & Length of Pipe (Lp) 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 formula 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*Vmean*Lp or Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe. The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location, The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
How to calculate Total Required Power?
The Total Required Power formula 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 (Vmean) & Length of Pipe (Lp). 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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