Shear Stress given Velocity 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%
✖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 [dp\|dr]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+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 given Velocity [𝜏]

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Formula

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Shear Stress given Velocity

Formula

𝜏 = (μ \cdot \frac{V mean}{D}) - dp|dr \cdot (0.5 \cdot D - R)

Example

46.90241 Pa = (10.2 P \cdot \frac{10.1 m/s}{2.9}) - 17 N/m³ \cdot (0.5 \cdot 2.9 - 04 m)

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Shear Stress given Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance)
𝜏 = (μ*V_mean/D)-dp|dr*(0.5*D-R)
This formula uses 6 Variables

Variables Used

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.
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.
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.
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
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Horizontal Distance: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (μ*V_mean/D)-dp|dr*(0.5*D-R) --> (1.02*10.1/2.9)-17*(0.5*2.9-4)

Evaluating ... ...

𝜏 = 46.9024137931034

STEP 3: Convert Result to Output's Unit

46.9024137931034 Pascal --> No Conversion Required

FINAL ANSWER

46.9024137931034 ≈ 46.90241 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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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

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

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

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

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

Shear Stress given Velocity Formula

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

Shear Stress given Velocity calculator uses Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance) to calculate the Shear Stress, The Shear Stress given Velocity is defined as the resistance developed due to motion of fluid on to near the boundary of the pipe. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress given Velocity using this online calculator? To use this online calculator for Shear Stress given Velocity, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Pressure Gradient (dp|dr) & Horizontal Distance (R) and hit the calculate button. Here is how the Shear Stress given Velocity calculation can be explained with given input values -> 46.90241 = (1.02*10.1/2.9)-17*(0.5*2.9-4).

FAQ

What is Shear Stress given Velocity?

The Shear Stress given Velocity is defined as the resistance developed due to motion of fluid on to near the boundary of the pipe and is represented as 𝜏 = (μ*V_mean/D)-dp|dr*(0.5*D-R) or Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(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, 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 & Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Shear Stress given Velocity?

The Shear Stress given Velocity is defined as the resistance developed due to motion of fluid on to near the boundary of the pipe is calculated using Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance). To calculate Shear Stress given Velocity, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Pressure Gradient (dp|dr) & Horizontal Distance (R). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Distance between plates, Pressure Gradient & Horizontal 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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