Pressure Gradient given Maximum Shear Stress at Cylindrical Element Calculator

✖The Maximum Shear Stress on Shaft occurs due to torsional forces acting on it. This stress is highest at the outer surface of the shaft and decreases towards the center.ⓘ Maximum Shear Stress on Shaft [𝜏_max]			+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 Gradient given Maximum Shear Stress at Cylindrical Element [dp|dr]

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Pressure Gradient given Maximum Shear Stress at Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe
dp|dr = (2*𝜏_max)/R
This formula uses 3 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.
Maximum Shear Stress on Shaft - (Measured in Pascal) - The Maximum Shear Stress on Shaft occurs due to torsional forces acting on it. This stress is highest at the outer surface of the shaft and decreases towards the center.
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

Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (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 = (2*𝜏_max)/R --> (2*100)/0.138

Evaluating ... ...

dp|dr = 1449.27536231884

STEP 3: Convert Result to Output's Unit

1449.27536231884 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

1449.27536231884 ≈ 1449.275 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 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 Maximum Shear Stress at Cylindrical Element Formula

LaTeX Go

Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe
dp|dr = (2*𝜏_max)/R

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 Maximum Shear Stress at Cylindrical Element?

Pressure Gradient given Maximum Shear Stress at Cylindrical Element calculator uses Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe to calculate the Pressure Gradient, The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element using this online calculator? To use this online calculator for Pressure Gradient given Maximum Shear Stress at Cylindrical Element, enter Maximum Shear Stress on Shaft (𝜏_max) & Radius of pipe (R) and hit the calculate button. Here is how the Pressure Gradient given Maximum Shear Stress at Cylindrical Element calculation can be explained with given input values -> 1449.275 = (2*100)/0.138.

FAQ

What is Pressure Gradient given Maximum Shear Stress at Cylindrical Element?

The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow and is represented as dp|dr = (2*𝜏_max)/R or Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe. The Maximum Shear Stress on Shaft occurs due to torsional forces acting on it. This stress is highest at the outer surface of the shaft and decreases towards the center & The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

How to calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element?

The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow is calculated using Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe. To calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element, you need Maximum Shear Stress on Shaft (𝜏_max) & Radius of pipe (R). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft & 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 Maximum Shear Stress on Shaft & 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*Dynamic Viscosity*Velocity Gradient/Radial Distance
Pressure Gradient = (4*Dynamic Viscosity)/(Radius of pipe^2)

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