Pressure Gradient given Total Required Power Calculator

✖The Power refers to the rate at which energy is transferred or converted by the hydraulic system.ⓘ Power [P]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%

✖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.ⓘ Pressure Gradient given Total Required Power [dp|dr]

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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/(L_p*A*V_mean)
This formula uses 5 Variables

Variables Used

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.
Power - (Measured in Watt) - The Power refers to the rate at which energy is transferred or converted by the hydraulic system.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Power: 34.34 Watt --> 34.34 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/(L_p*A*V_mean) --> 34.34/(0.1*2*10.1)

Evaluating ... ...

dp|dr = 17

STEP 3: Convert Result to Output's Unit

17 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

17 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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Head Loss due to Frictional Resistance

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

Dynamic Viscosity given Friction Factor

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

Pressure Gradient given Total Required Power Formula

LaTeX Go

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

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 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 (L_p), Cross Sectional Area of Pipe (A) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Pressure Gradient given Total Required Power calculation can be explained with given input values -> 17 = 34.34/(0.1*2*10.1).

FAQ

What is Pressure Gradient given Total Required Power?

The Pressure Gradient given Total Required Power formula formula is defined as the rate at which pressure varies with radial horizontal distance and is represented as dp|dr = P/(L_p*A*V_mean) or Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity). The Power refers to the rate at which energy is transferred or converted by the hydraulic system, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, 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.

How to calculate Pressure Gradient given Total Required Power?

The Pressure Gradient given Total Required Power formula 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 (L_p), Cross Sectional Area of Pipe (A) & Mean Velocity (V_mean). 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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