Pressure Gradient given Shear Stress at any Cylindrical Element Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient given Shear Stress at any Cylindrical Element [dp|dr]

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Pressure Gradient given Shear Stress at any Cylindrical Element

Formula

`"dp|dr" = 2*"𝜏"/"d"_{"radial"}`

Example

`"20.23913N/m³"=2*"93.1Pa"/"9.2m"`

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Pressure Gradient given Shear Stress at any Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = 2*Shear Stress/Radial Distance
dp|dr = 2*𝜏/d_radial
This formula uses 3 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.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = 2*𝜏/d_radial --> 2*93.1/9.2

Evaluating ... ...

dp|dr = 20.2391304347826

STEP 3: Convert Result to Output's Unit

20.2391304347826 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

20.2391304347826 ≈ 20.23913 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 7 Pressure Gradient Calculators

Pressure Gradient given Velocity at any point in Cylindrical Element

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

Pressure Gradient given Discharge through Pipe

Go Pressure Gradient = Discharge in pipe/((pi/(8*Dynamic Viscosity))*(Pipe Radius^4))

Pressure Gradient given Velocity Gradient at Cylindrical Element

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

Pressure Gradients given Mean Velocity of Flow

Go Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Pipe Radius^2)

Pressure Gradient given Maximum Shear Stress at Cylindrical Element

Go Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius

Pressure Gradient given Maximum Velocity at Axis of Cylindrical Element

Go Pressure Gradient = (4*Dynamic Viscosity)/(Pipe Radius^2)

Pressure Gradient given Shear Stress at any Cylindrical Element

Go Pressure Gradient = 2*Shear Stress/Radial Distance

Pressure Gradient given Shear Stress at any Cylindrical Element Formula

Pressure Gradient = 2*Shear Stress/Radial Distance
dp|dr = 2*𝜏/d_radial

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 Shear Stress at any Cylindrical Element?

Pressure Gradient given Shear Stress at any Cylindrical Element calculator uses Pressure Gradient = 2*Shear Stress/Radial Distance to calculate the Pressure Gradient, The Pressure Gradient given Shear Stress at any Cylindrical Element is defined as variation of pressure with length of pipe. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Shear Stress at any Cylindrical Element using this online calculator? To use this online calculator for Pressure Gradient given Shear Stress at any Cylindrical Element, enter Shear Stress (𝜏) & Radial Distance (d_radial) and hit the calculate button. Here is how the Pressure Gradient given Shear Stress at any Cylindrical Element calculation can be explained with given input values -> 20.23913 = 2*93.1/9.2.

FAQ

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

The Pressure Gradient given Shear Stress at any Cylindrical Element is defined as variation of pressure with length of pipe and is represented as dp|dr = 2*𝜏/d_radial or Pressure Gradient = 2*Shear Stress/Radial Distance. Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

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

The Pressure Gradient given Shear Stress at any Cylindrical Element is defined as variation of pressure with length of pipe is calculated using Pressure Gradient = 2*Shear Stress/Radial Distance. To calculate Pressure Gradient given Shear Stress at any Cylindrical Element, you need Shear Stress (𝜏) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Shear Stress & Radial Distance 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 Shear Stress & Radial Distance. We can use 6 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius
Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance
Pressure Gradient = Fluid Velocity in Pipe/((1/(4*Dynamic Viscosity))*((Pipe Radius^2)-(Radial Distance^2)))
Pressure Gradient = (4*Dynamic Viscosity)/(Pipe Radius^2)
Pressure Gradient = Discharge in pipe/((pi/(8*Dynamic Viscosity))*(Pipe Radius^4))
Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Pipe Radius^2)

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