Pressure Gradient given Shear Stress Distribution Profile Calculator

✖The Shear Stress refers to the 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%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [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 Shear Stress Distribution Profile [dp|dr]

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Pressure Gradient given Shear Stress Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance)
dp|dr = -𝜏/(w/2-R)
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.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required
Horizontal Distance: 6.9 Meter --> 6.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = -𝜏/(w/2-R) --> -93.1/(3/2-6.9)

Evaluating ... ...

dp|dr = 17.2407407407407

STEP 3: Convert Result to Output's Unit

17.2407407407407 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

17.2407407407407 ≈ 17.24074 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Pressure Gradient Calculators

Pressure Gradient given Maximum Velocity between Plates

LaTeX Go Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)

Pressure Gradient given Shear Stress Distribution Profile

LaTeX Go Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance)

Pressure Gradient given Shear Stress Distribution Profile Formula

LaTeX Go

Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance)
dp|dr = -𝜏/(w/2-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 Shear Stress Distribution Profile?

Pressure Gradient given Shear Stress Distribution Profile calculator uses Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance) to calculate the Pressure Gradient, The Pressure Gradient given Shear Stress Distribution Profile formula is defined as change in pressure with respect to horizontal distance in pipe length. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Shear Stress Distribution Profile using this online calculator? To use this online calculator for Pressure Gradient given Shear Stress Distribution Profile, enter Shear Stress (𝜏), Width (w) & Horizontal Distance (R) and hit the calculate button. Here is how the Pressure Gradient given Shear Stress Distribution Profile calculation can be explained with given input values -> 17.24074 = -93.1/(3/2-6.9).

FAQ

What is Pressure Gradient given Shear Stress Distribution Profile?

The Pressure Gradient given Shear Stress Distribution Profile formula is defined as change in pressure with respect to horizontal distance in pipe length and is represented as dp|dr = -𝜏/(w/2-R) or Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance). The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Width is the measurement or extent of something from side to side & Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Pressure Gradient given Shear Stress Distribution Profile?

The Pressure Gradient given Shear Stress Distribution Profile formula is defined as change in pressure with respect to horizontal distance in pipe length is calculated using Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance). To calculate Pressure Gradient given Shear Stress Distribution Profile, you need Shear Stress (𝜏), Width (w) & Horizontal Distance (R). With our tool, you need to enter the respective value for Shear Stress, Width & Horizontal 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, Width & Horizontal Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)

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