Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient Calculator

✖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%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+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 Mean Velocity of Flow with Pressure Gradient [μ_viscosity]

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Dynamic Viscosity given Mean Velocity of Flow with Pressure Gradient

Formula

`"μ"_{"viscosity"} = (("w"^2)/(12*"V"_{"mean"}))*"dp|dr"`

Example

`"3.935185P"=((("3m")^2)/(12*"32.4m/s"))*"17N/m³"`

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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_viscosity = ((w^2)/(12*V_mean))*dp|dr
This formula uses 4 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.
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) - Pressure Gradient is the change in pressure with respect to radial distance of element.

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_viscosity = ((w^2)/(12*V_mean))*dp|dr --> ((3^2)/(12*32.4))*17

Evaluating ... ...

μ_viscosity = 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 00.007 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 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 given Mean Velocity of Flow with Pressure Gradient Formula

Dynamic Viscosity = ((Width^2)/(12*Mean Velocity))*Pressure Gradient
μ_viscosity = ((w^2)/(12*V_mean))*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_viscosity 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 (V_mean) & 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_viscosity = ((w^2)/(12*V_mean))*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 & Pressure Gradient is the change in pressure with respect to radial distance of element.

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 (V_mean) & 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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