Pressure Gradient given Shear Stress Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Distance between plates is the length of the space between two points.ⓘ Distance between plates [D]			+10% -10%
✖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%
✖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 [dp|dr]

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Pressure Gradient given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)
dp|dr = ((μ*V_mean/D)-𝜏)/(0.5*D-R)
This formula uses 6 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Distance between plates - Distance between plates is the length of the space between two points.
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.
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

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Distance between plates: 2.9 --> No Conversion Required
Shear Stress: 45.9 Pascal --> 45.9 Pascal No Conversion Required
Horizontal Distance: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = ((μ*V_mean/D)-𝜏)/(0.5*D-R) --> ((1.02*10.1/2.9)-45.9)/(0.5*2.9-4)

Evaluating ... ...

dp|dr = 16.6068965517241

STEP 3: Convert Result to Output's Unit

16.6068965517241 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

16.6068965517241 ≈ 16.6069 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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< Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Calculators

Dynamic Viscosity given Flow Velocity

LaTeX Go Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)

Flow Velocity of Section

LaTeX Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Pressure Gradient given Flow Velocity

LaTeX Go Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity))

Mean Velocity of Flow given Flow Velocity

LaTeX Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Pressure Gradient given Shear Stress Formula

LaTeX Go

Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)
dp|dr = ((μ*V_mean/D)-𝜏)/(0.5*D-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?

Pressure Gradient given Shear Stress calculator uses Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance) to calculate the Pressure Gradient, The Pressure Gradient given Shear Stress is defined as change in pressure with respect to length of pipe in the horizontal distance. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Shear Stress using this online calculator? To use this online calculator for Pressure Gradient given Shear Stress, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Shear Stress (𝜏) & Horizontal Distance (R) and hit the calculate button. Here is how the Pressure Gradient given Shear Stress calculation can be explained with given input values -> 16.6069 = ((1.02*10.1/2.9)-45.9)/(0.5*2.9-4).

FAQ

What is Pressure Gradient given Shear Stress?

The Pressure Gradient given Shear Stress is defined as change in pressure with respect to length of pipe in the horizontal distance and is represented as dp|dr = ((μ*V_mean/D)-𝜏)/(0.5*D-R) or Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, Distance between plates is the length of the space between two points, Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Pressure Gradient given Shear Stress?

The Pressure Gradient given Shear Stress is defined as change in pressure with respect to length of pipe in the horizontal distance is calculated using Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance). To calculate Pressure Gradient given Shear Stress, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Shear Stress (𝜏) & Horizontal Distance (R). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Distance between plates, Shear Stress & 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 Dynamic Viscosity, Mean Velocity, Distance between plates, Shear Stress & Horizontal Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity))

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