Dynamic Viscosity given 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%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+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%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Stress [μ_viscosity]

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Formula

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Dynamic Viscosity given Stress

Formula

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

Example

`"5.781683P"=("45.9Pa"+"17N/m³"*(0.5*"2.9"-"04m"))*("2.29m"/"10.1m/s")`

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Dynamic Viscosity given Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)
μ_viscosity = (𝜏+dp|dr*(0.5*D-R))*(w/V_mean)
This formula uses 7 Variables

Variables Used

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.
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.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.

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
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = (𝜏+dp|dr*(0.5*D-R))*(w/V_mean) --> (45.9+17*(0.5*2.9-4))*(2.29/10.1)

Evaluating ... ...

μ_viscosity = 0.578168316831684

STEP 3: Convert Result to Output's Unit

0.578168316831684 Pascal Second -->5.78168316831684 Poise (Check conversion here)

FINAL ANSWER

5.78168316831684 ≈ 5.781683 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow » Dynamic Viscosity given Stress

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 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)

Dynamic Viscosity given Stress Formula

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

What is Dynamic Viscosity?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

How to Calculate Dynamic Viscosity given Stress?

Dynamic Viscosity given Stress calculator uses Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Stress formula is defined as the resistance offered by the fluid on the relative motion of object in the liquid phase. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity given Stress using this online calculator? To use this online calculator for Dynamic Viscosity given Stress, enter Shear Stress (𝜏), Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Width (w) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Dynamic Viscosity given Stress calculation can be explained with given input values -> 75.74257 = (45.9+17*(0.5*2.9-4))*(2.29/10.1).

FAQ

What is Dynamic Viscosity given Stress?

The Dynamic Viscosity given Stress formula is defined as the resistance offered by the fluid on the relative motion of object in the liquid phase and is represented as μ_viscosity = (𝜏+dp|dr*(0.5*D-R))*(w/V_mean) or Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity). 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, Width is the measurement or extent of something from side to side & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Dynamic Viscosity given Stress?

The Dynamic Viscosity given Stress formula is defined as the resistance offered by the fluid on the relative motion of object in the liquid phase is calculated using Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity). To calculate Dynamic Viscosity given Stress, you need Shear Stress (𝜏), Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Width (w) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Shear Stress, Pressure Gradient, Distance between plates, Horizontal Distance, Width & Mean Velocity 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 Dynamic Viscosity?

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

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

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