Pressure Gradient given Total Required Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)
dp|dr = P/(Lp*A*Vmean)
This formula uses 5 Variables
Variables Used
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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.
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.
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
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dp|dr = P/(Lp*A*Vmean) --> 850/(0.1*2*10.1)
Evaluating ... ...
dp|dr = 420.792079207921
STEP 3: Convert Result to Output's Unit
420.792079207921 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
420.792079207921 420.7921 Newton per Cubic Meter <-- Pressure Gradient
(Calculation completed in 00.020 seconds)

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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

Pressure Gradient given Total Required Power Formula

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

What is Pressure Gradient ?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Pressure Gradient given Total Required Power?

Pressure Gradient given Total Required Power calculator uses Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity) to calculate the Pressure Gradient, The Pressure Gradient given Total Required Power formula is defined as the rate at which pressure varies with radial horizontal distance. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Total Required Power using this online calculator? To use this online calculator for Pressure Gradient given Total Required Power, enter Power (P), Length of Pipe (Lp), Cross Sectional Area of Pipe (A) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Pressure Gradient given Total Required Power calculation can be explained with given input values -> 420.7921 = 850/(0.1*2*10.1).

FAQ

What is Pressure Gradient given Total Required Power?
The Pressure Gradient given Total Required Power formula is defined as the rate at which pressure varies with radial horizontal distance and is represented as dp|dr = P/(Lp*A*Vmean) or Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*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, 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.
How to calculate Pressure Gradient given Total Required Power?
The Pressure Gradient given Total Required Power formula is defined as the rate at which pressure varies with radial horizontal distance is calculated using Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity). To calculate Pressure Gradient given Total Required Power, you need Power (P), Length of Pipe (Lp), Cross Sectional Area of Pipe (A) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Power, Length of Pipe, Cross Sectional Area of Pipe & 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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