Dynamic Viscosity given Flow Velocity Calculator

✖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.ⓘ 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%
✖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 Width refers to the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow velocity [V_f]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Flow Velocity [μ]

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Dynamic Viscosity given Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)
μ = ((0.5*dp|dr*(D*R-R^2)))/((V_mean*R/w)-V_f)
This formula uses 7 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.
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.
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.
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.
Width - (Measured in Meter) - The Width refers to the measurement or extent of something from side to side.
Flow velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.

STEP 1: Convert Input(s) to Base Unit

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
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Flow velocity: 46.8 Meter per Second --> 46.8 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = ((0.5*dp|dr*(D*R-R^2)))/((V_mean*R/w)-V_f) --> ((0.5*17*(2.9*4-4^2)))/((10.1*4/2.29)-46.8)

Evaluating ... ...

μ = 1.28266339184089

STEP 3: Convert Result to Output's Unit

1.28266339184089 Pascal Second -->12.8266339184089 Poise (Check conversion here)

FINAL ANSWER

12.8266339184089 ≈ 12.82663 Poise <-- Dynamic Viscosity

(Calculation completed in 00.021 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Calculators

Dynamic Viscosity given Flow Velocity

LaTeX 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

LaTeX 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

LaTeX 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

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

Dynamic Viscosity given Flow Velocity Formula

LaTeX Go

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 Flow Velocity?

Dynamic Viscosity given Flow Velocity calculator uses Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Flow Velocity is defined as the resistance offered by the liquid by the relative motion in the object by flow. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Flow Velocity using this online calculator? To use this online calculator for Dynamic Viscosity given Flow Velocity, enter Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Mean Velocity (V_mean), Width (w) & Flow velocity (V_f) and hit the calculate button. Here is how the Dynamic Viscosity given Flow Velocity calculation can be explained with given input values -> 112.2 = ((0.5*17*(2.9*4-4^2)))/((10.1*4/2.29)-46.8).

FAQ

What is Dynamic Viscosity given Flow Velocity?

The Dynamic Viscosity given Flow Velocity is defined as the resistance offered by the liquid by the relative motion in the object by flow and is represented as μ = ((0.5*dp|dr*(D*R-R^2)))/((V_mean*R/w)-V_f) or Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity). 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, 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, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Width refers to the measurement or extent of something from side to side & Flow Velocity is the velocity of the flow of any fluid.

How to calculate Dynamic Viscosity given Flow Velocity?

The Dynamic Viscosity given Flow Velocity is defined as the resistance offered by the liquid by the relative motion in the object by flow is calculated using Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity). To calculate Dynamic Viscosity given Flow Velocity, you need Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Mean Velocity (V_mean), Width (w) & Flow velocity (V_f). With our tool, you need to enter the respective value for Pressure Gradient, Distance between plates, Horizontal Distance, Mean Velocity, Width & Flow 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 Pressure Gradient, Distance between plates, Horizontal Distance, Mean Velocity, Width & Flow velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)

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