Mean Velocity of Flow given Total Required Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
Vmean = P/(Lp*dp|dr*A)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Cross Sectional Area of Pipe: 2 Square Meter --> 2 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = P/(Lp*dp|dr*A) --> 850/(0.1*17*2)
Evaluating ... ...
Vmean = 250
STEP 3: Convert Result to Output's Unit
250 Meter per Second --> No Conversion Required
FINAL ANSWER
250 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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5 Mean Velocity of Flow Calculators

Mean Velocity of Flow given Head Loss due to Frictional Resistance
Go Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Mean Velocity of Flow given Friction Factor
Go Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)
Mean Velocity of Flow given Total Required Power
Go Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
Mean Velocity of Flow given Shear Stress and Density
Go Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
Mean Velocity of Flow given Shear Velocity
Go Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))

Mean Velocity of Flow given Total Required Power Formula

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

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 Mean Velocity of Flow given Total Required Power?

Mean Velocity of Flow given Total Required Power calculator uses Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe) to calculate the Mean Velocity, The Mean Velocity of Flow given Total Required Power formula is defined as the average velocity flowing through the pipe. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow given Total Required Power using this online calculator? To use this online calculator for Mean Velocity of Flow given Total Required Power, enter Power (P), Length of Pipe (Lp), Pressure Gradient (dp|dr) & Cross Sectional Area of Pipe (A) and hit the calculate button. Here is how the Mean Velocity of Flow given Total Required Power calculation can be explained with given input values -> 250 = 850/(0.1*17*2).

FAQ

What is Mean Velocity of Flow given Total Required Power?
The Mean Velocity of Flow given Total Required Power formula is defined as the average velocity flowing through the pipe and is represented as Vmean = P/(Lp*dp|dr*A) or Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe). 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 & Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.
How to calculate Mean Velocity of Flow given Total Required Power?
The Mean Velocity of Flow given Total Required Power formula is defined as the average velocity flowing through the pipe is calculated using Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe). To calculate Mean Velocity of Flow given Total Required Power, you need Power (P), Length of Pipe (Lp), Pressure Gradient (dp|dr) & Cross Sectional Area of Pipe (A). With our tool, you need to enter the respective value for Power, Length of Pipe, Pressure Gradient & Cross Sectional Area of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Velocity?
In this formula, Mean Velocity uses Power, Length of Pipe, Pressure Gradient & Cross Sectional Area of Pipe. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
  • Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)
  • Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
  • Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
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