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)
μviscosity = ((0.5*dp|dr*(D*R-R^2)))/((Vmean*R/w)-Vf)
This formula uses 7 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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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) - Width is 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
μviscosity = ((0.5*dp|dr*(D*R-R^2)))/((Vmean*R/w)-Vf) --> ((0.5*17*(2.9*4-4^2)))/((10.1*4/2.29)-46.8)
Evaluating ... ...
μviscosity = 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 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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12 Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Calculators

Dynamic Viscosity given Flow Velocity
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
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
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
Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
Mean Velocity of Flow given Shear Stress
Go Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity)
Pressure Gradient given Shear Stress
Go Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)
Shear Stress given Velocity
Go Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance)
Dynamic Viscosity given Stress
Go Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)
Distance between Plates given Flow Velocity with No Pressure Gradient
Go Distance between plates = Mean Velocity*Horizontal Distance/Flow velocity
Horizontal Distance given Flow Velocity with No Pressure Gradient
Go Horizontal Distance = Flow velocity*Width/Mean Velocity
Mean Velocity of Flow given Flow Velocity with No Pressure Gradient
Go Mean Velocity = Distance between plates*Horizontal Distance
Flow Velocity given No Pressure Gradient
Go Flow velocity = (Mean Velocity*Horizontal Distance)

Dynamic Viscosity given Flow Velocity Formula

Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)
μviscosity = ((0.5*dp|dr*(D*R-R^2)))/((Vmean*R/w)-Vf)

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 μviscosity 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 (Vmean), Width (w) & Flow velocity (Vf) 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 μviscosity = ((0.5*dp|dr*(D*R-R^2)))/((Vmean*R/w)-Vf) or Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity). Pressure Gradient is the change in pressure with respect to radial distance of element, 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, Width is 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 (Vmean), Width (w) & Flow velocity (Vf). 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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