Pressure Gradient given Velocity at any point in Cylindrical Element Calculator

✖The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).ⓘ Fluid Velocity [v_Fluid]			+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 Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+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 Velocity at any point in Cylindrical Element [dp|dr]

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Pressure Gradient given Velocity at any point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2)))
dp|dr = v_Fluid/((1/(4*μ))*((R^2)-(d_radial^2)))
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.
Fluid Velocity - (Measured in Meter per Second) - The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).
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.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity: 353 Meter per Second --> 353 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)
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = v_Fluid/((1/(4*μ))*((R^2)-(d_radial^2))) --> 353/((1/(4*1.02))*((0.138^2)-(9.2^2)))

Evaluating ... ...

dp|dr = -17.0198975298743

STEP 3: Convert Result to Output's Unit

-17.0198975298743 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

-17.0198975298743 ≈ -17.019898 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.020 seconds)

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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 Gradient given Velocity at any point in Cylindrical Element Formula

LaTeX Go

Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2)))
dp|dr = v_Fluid/((1/(4*μ))*((R^2)-(d_radial^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 Gradient given Velocity at any point in Cylindrical Element?

Pressure Gradient given Velocity at any point in Cylindrical Element calculator uses Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2))) to calculate the Pressure Gradient, The Pressure Gradient given Velocity at any point in Cylindrical Element is defined as the variation of pressure with respect to the length of the pipe. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Velocity at any point in Cylindrical Element using this online calculator? To use this online calculator for Pressure Gradient given Velocity at any point in Cylindrical Element, enter Fluid Velocity (v_Fluid), Dynamic Viscosity (μ), Radius of pipe (R) & Radial Distance (d_radial) and hit the calculate button. Here is how the Pressure Gradient given Velocity at any point in Cylindrical Element calculation can be explained with given input values -> -17.019898 = 353/((1/(4*1.02))*((0.138^2)-(9.2^2))).

FAQ

What is Pressure Gradient given Velocity at any point in Cylindrical Element?

The Pressure Gradient given Velocity at any point in Cylindrical Element is defined as the variation of pressure with respect to the length of the pipe and is represented as dp|dr = v_Fluid/((1/(4*μ))*((R^2)-(d_radial^2))) or Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2))). The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s), 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 & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

How to calculate Pressure Gradient given Velocity at any point in Cylindrical Element?

The Pressure Gradient given Velocity at any point in Cylindrical Element is defined as the variation of pressure with respect to the length of the pipe is calculated using Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2))). To calculate Pressure Gradient given Velocity at any point in Cylindrical Element, you need Fluid Velocity (v_Fluid), Dynamic Viscosity (μ), Radius of pipe (R) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Fluid Velocity, Dynamic Viscosity, Radius of pipe & Radial Distance 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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