Dynamic Viscosity using Velocity Distribution Profile Calculator

✖Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of Liquid [v]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+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 Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity using Velocity Distribution Profile [μ_viscosity]

⎘ Copy

👎

Formula

✖

Dynamic Viscosity using Velocity Distribution Profile

Formula

`"μ"_{"viscosity"} = (1/(2*"v"))*"dp|dr"*("w"*"R"^2)`

Example

`"197.1829P"=(1/(2*"61.57m/s"))*"17N/m³"*("3m"*("6.9m")^2)`

Calculator

LaTeX

Reset

👍

Download Laminar Flow between Parallel Plates, both plates at rest Formulas PDF PDF Image

Dynamic Viscosity using Velocity Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)
μ_viscosity = (1/(2*v))*dp|dr*(w*R^2)
This formula uses 5 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.
Velocity of Liquid - (Measured in Meter per Second) - Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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

Velocity of Liquid: 61.57 Meter per Second --> 61.57 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter 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

μ_viscosity = (1/(2*v))*dp|dr*(w*R^2) --> (1/(2*61.57))*17*(3*6.9^2)

Evaluating ... ...

μ_viscosity = 19.7182881273347

STEP 3: Convert Result to Output's Unit

19.7182881273347 Pascal Second -->197.182881273347 Poise (Check conversion here)

FINAL ANSWER

197.182881273347 ≈ 197.1829 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Plates, both plates at rest » Dynamic Viscosity » Dynamic Viscosity using Velocity Distribution Profile

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 4 Dynamic Viscosity Calculators

Dynamic Viscosity using Velocity Distribution Profile

Go Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)

Dynamic Viscosity given Pressure Difference

Go Dynamic Viscosity = (Pressure Difference*Width)/(12*Mean Velocity*Length of Pipe)

Dynamic Viscosity given Maximum Velocity between Plates

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

Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient

Go Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient

Dynamic Viscosity using Velocity Distribution Profile Formula

Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)
μ_viscosity = (1/(2*v))*dp|dr*(w*R^2)

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 using Velocity Distribution Profile?

Dynamic Viscosity using Velocity Distribution Profile calculator uses Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2) to calculate the Dynamic Viscosity, The Dynamic Viscosity using Velocity Distribution Profile is defined as the resistance offered by the fluid on to the relative motion. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity using Velocity Distribution Profile using this online calculator? To use this online calculator for Dynamic Viscosity using Velocity Distribution Profile, enter Velocity of Liquid (v), Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) and hit the calculate button. Here is how the Dynamic Viscosity using Velocity Distribution Profile calculation can be explained with given input values -> 1971.829 = (1/(2*61.57))*17*(3*6.9^2).

FAQ

What is Dynamic Viscosity using Velocity Distribution Profile?

The Dynamic Viscosity using Velocity Distribution Profile is defined as the resistance offered by the fluid on to the relative motion and is represented as μ_viscosity = (1/(2*v))*dp|dr*(w*R^2) or Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2). Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, Pressure Gradient is the change in pressure with respect to radial distance of element, 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 Dynamic Viscosity using Velocity Distribution Profile?

The Dynamic Viscosity using Velocity Distribution Profile is defined as the resistance offered by the fluid on to the relative motion is calculated using Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2). To calculate Dynamic Viscosity using Velocity Distribution Profile, you need Velocity of Liquid (v), Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R). With our tool, you need to enter the respective value for Velocity of Liquid, Pressure Gradient, 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Velocity of Liquid, Pressure Gradient, Width & Horizontal Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = ((Width^2)*Pressure Gradient)/(8*Maximum Velocity)
Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient
Dynamic Viscosity = (Pressure Difference*Width)/(12*Mean Velocity*Length of Pipe)

Home

FREE PDFs

🔍 Search