Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient
μ = ((w^2)/(12*Vmean))*dp|dr
This formula uses 4 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Width: 3 Meter --> 3 Meter No Conversion Required
Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = ((w^2)/(12*Vmean))*dp|dr --> ((3^2)/(12*32.4))*17
Evaluating ... ...
μ = 0.393518518518519
STEP 3: Convert Result to Output's Unit
0.393518518518519 Pascal Second -->3.93518518518519 Poise (Check conversion ​here)
FINAL ANSWER
3.93518518518519 3.935185 Poise <-- Dynamic Viscosity
(Calculation completed in 00.020 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 given Mean Velocity of Flow with Pressure Gradient Formula

​LaTeX ​Go
Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient
μ = ((w^2)/(12*Vmean))*dp|dr

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 Mean Velocity of Flow with Pressure Gradient?

Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient calculator uses Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient to calculate the Dynamic Viscosity, The Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient formula is defined as the resistance offered by the relative motion of object in fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient using this online calculator? To use this online calculator for Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient, enter Width (w), Mean Velocity (Vmean) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient calculation can be explained with given input values -> 39.35185 = ((3^2)/(12*32.4))*17.

FAQ

What is Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient?
The Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient formula is defined as the resistance offered by the relative motion of object in fluid and is represented as μ = ((w^2)/(12*Vmean))*dp|dr or Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient. 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 & 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.
How to calculate Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient?
The Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient formula is defined as the resistance offered by the relative motion of object in fluid is calculated using Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient. To calculate Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient, you need Width (w), Mean Velocity (Vmean) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Width, Mean Velocity & Pressure Gradient 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 Width, Mean Velocity & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity = (1/(2*Velocity of Liquid))*Pressure Gradient*(Width*Horizontal Distance^2)
  • Dynamic Viscosity = ((Width^2)*Pressure Gradient)/(8*Maximum Velocity)
  • Dynamic Viscosity = (Pressure Difference*Width)/(12*Mean Velocity*Length of Pipe)
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