Pressure Gradients given Mean Velocity of Flow Calculator

✖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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+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 Gradients given Mean Velocity of Flow [dp|dr]

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Pressure Gradients given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Radius of pipe^2)
dp|dr = 8*V_mean*μ/(R^2)
This formula uses 4 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.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = 8*V_mean*μ/(R^2) --> 8*10.1*1.02/(0.138^2)

Evaluating ... ...

dp|dr = 4327.66225582861

STEP 3: Convert Result to Output's Unit

4327.66225582861 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

4327.66225582861 ≈ 4327.662 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Pressure Gradient Calculators

Pressure Gradient given Velocity at any point in Cylindrical Element

LaTeX Go Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2)))

Pressure Gradient given Velocity Gradient at Cylindrical Element

LaTeX Go Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance

Pressure Gradient given Maximum Shear Stress at Cylindrical Element

LaTeX Go Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe

Pressure Gradient given Shear Stress at any Cylindrical Element

LaTeX Go Pressure Gradient = 2*Shear Stress/Radial Distance

Pressure Gradients given Mean Velocity of Flow Formula

LaTeX Go

Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Radius of pipe^2)
dp|dr = 8*V_mean*μ/(R^2)

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 Gradients given Mean Velocity of Flow?

Pressure Gradients given Mean Velocity of Flow calculator uses Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Radius of pipe^2) to calculate the Pressure Gradient, The Pressure Gradients given Mean Velocity of Flow is defined as the rate at which pressure is changing with respect to radial distance from center. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradients given Mean Velocity of Flow using this online calculator? To use this online calculator for Pressure Gradients given Mean Velocity of Flow, enter Mean Velocity (V_mean), Dynamic Viscosity (μ) & Radius of pipe (R) and hit the calculate button. Here is how the Pressure Gradients given Mean Velocity of Flow calculation can be explained with given input values -> 4327.662 = 8*10.1*1.02/(0.138^2).

FAQ

What is Pressure Gradients given Mean Velocity of Flow?

The Pressure Gradients given Mean Velocity of Flow is defined as the rate at which pressure is changing with respect to radial distance from center and is represented as dp|dr = 8*V_mean*μ/(R^2) or Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Radius of pipe^2). The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

How to calculate Pressure Gradients given Mean Velocity of Flow?

The Pressure Gradients given Mean Velocity of Flow is defined as the rate at which pressure is changing with respect to radial distance from center is calculated using Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Radius of pipe^2). To calculate Pressure Gradients given Mean Velocity of Flow, you need Mean Velocity (V_mean), Dynamic Viscosity (μ) & Radius of pipe (R). With our tool, you need to enter the respective value for Mean Velocity, Dynamic Viscosity & Radius 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 Pressure Gradient?

In this formula, Pressure Gradient uses Mean Velocity, Dynamic Viscosity & Radius of pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = 2*Shear Stress/Radial Distance
Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe
Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance

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