Mean Velocity of Flow given Shear Stress 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%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Distance between plates is the length of the space between two points.ⓘ Distance between plates [D]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Flow given Shear Stress [V_mean]

⎘ Copy

👎

Formula

✖

Mean Velocity of Flow given Shear Stress

Formula

`"V"_{"mean"} = ("𝜏"+"dp|dr"*(0.5*"D"-"R"))*("D"/"μ"_{"viscosity"})`

Example

`"7.25m/s"=("45.9Pa"+"17N/m³"*(0.5*"2.9"-"04m"))*("2.9"/"10.2P")`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

Mean Velocity of Flow given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Distance between plates - Distance between plates is the length of the space between two points.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 45.9 Pascal --> 45.9 Pascal No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Distance between plates: 2.9 --> No Conversion Required
Horizontal Distance: 4 Meter --> 4 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = (𝜏+dp|dr*(0.5*D-R))*(D/μ_viscosity) --> (45.9+17*(0.5*2.9-4))*(2.9/1.02)

Evaluating ... ...

V_mean = 7.25000000000001

STEP 3: Convert Result to Output's Unit

7.25000000000001 Meter per Second --> No Conversion Required

FINAL ANSWER

7.25000000000001 ≈ 7.25 Meter per Second <-- Mean Velocity

(Calculation completed in 00.012 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow » Mean Velocity of Flow given Shear Stress

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 12 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

Mean Velocity of Flow given Shear Stress

Go Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity)

Pressure Gradient given Shear Stress

Go Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)

Shear Stress given Velocity

Go Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance)

Dynamic Viscosity given Stress

Go Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)

Distance between Plates given Flow Velocity with No Pressure Gradient

Go Distance between plates = Mean Velocity*Horizontal Distance/Flow velocity

Horizontal Distance given Flow Velocity with No Pressure Gradient

Go Horizontal Distance = Flow velocity*Width/Mean Velocity

Mean Velocity of Flow given Flow Velocity with No Pressure Gradient

Go Mean Velocity = Distance between plates*Horizontal Distance

Flow Velocity given No Pressure Gradient

Go Flow velocity = (Mean Velocity*Horizontal Distance)

Mean Velocity of Flow given Shear Stress Formula

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

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 Mean Velocity of Flow given Shear Stress?

Mean Velocity of Flow given Shear Stress calculator uses Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity) to calculate the Mean Velocity, The Mean Velocity of Flow given Shear Stress is defined as the average velocity flowing throughout the pipe in the stream. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity of Flow given Shear Stress using this online calculator? To use this online calculator for Mean Velocity of Flow given Shear Stress, enter Shear Stress (𝜏), Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Mean Velocity of Flow given Shear Stress calculation can be explained with given input values -> 7.25 = (45.9+17*(0.5*2.9-4))*(2.9/1.02).

FAQ

What is Mean Velocity of Flow given Shear Stress?

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

How to calculate Mean Velocity of Flow given Shear Stress?

The Mean Velocity of Flow given Shear Stress is defined as the average velocity flowing throughout the pipe in the stream is calculated using Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity). To calculate Mean Velocity of Flow given Shear Stress, you need Shear Stress (𝜏), Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Shear Stress, Pressure Gradient, Distance between plates, Horizontal Distance & Dynamic Viscosity 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 Mean Velocity?

In this formula, Mean Velocity uses Shear Stress, Pressure Gradient, Distance between plates, Horizontal Distance & Dynamic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = Distance between plates*Horizontal Distance

Home

FREE PDFs

🔍 Search