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 = (1/(2*v))*dp|dr*(w*R^2)
This formula uses 5 Variables
Variables Used
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Velocity of Liquid - (Measured in Meter per Second) - The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.
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.
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 = (1/(2*v))*dp|dr*(w*R^2) --> (1/(2*61.57))*17*(3*6.9^2)
Evaluating ... ...
μ = 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)

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National Institute of Technology Karnataka (NITK), Surathkal
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Dynamic Viscosity Calculators

Dynamic Viscosity using Velocity Distribution Profile
​ LaTeX ​ Go Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)
Dynamic Viscosity given Pressure Difference
​ LaTeX ​ Go Dynamic Viscosity = (Pressure Difference*Width)/(12*Mean Velocity*Length of Pipe)
Dynamic Viscosity given Maximum Velocity between Plates
​ LaTeX ​ Go Dynamic Viscosity = ((Width^2)*Pressure Gradient)/(8*Maximum Velocity)
Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient
​ LaTeX ​ Go Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient

Dynamic Viscosity using Velocity Distribution Profile Formula

​LaTeX ​Go
Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)
μ = (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 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 = (1/(2*v))*dp|dr*(w*R^2) or Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2). The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel, 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, 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)
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