Dynamic Viscosity given Velocity at any point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
μviscosity = -(1/(4*uFluid))*dp|dr*((R^2)-(dradial^2))
This formula uses 5 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.
Fluid Velocity in Pipe - (Measured in Meter per Second) - Fluid Velocity in Pipe is the volume of fluid flowing in the given vessel per unit cross sectional area.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
STEP 1: Convert Input(s) to Base Unit
Fluid Velocity in Pipe: 300 Meter per Second --> 300 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Pipe Radius: 138 Millimeter --> 0.138 Meter (Check conversion here)
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μviscosity = -(1/(4*uFluid))*dp|dr*((R^2)-(dradial^2)) --> -(1/(4*300))*17*((0.138^2)-(9.2^2))
Evaluating ... ...
μviscosity = 1.19879687666667
STEP 3: Convert Result to Output's Unit
1.19879687666667 Pascal Second -->11.9879687666667 Poise (Check conversion here)
FINAL ANSWER
11.9879687666667 11.98797 Poise <-- Dynamic Viscosity
(Calculation completed in 00.020 seconds)

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4 Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity at any point in Cylindrical Element
Go Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
Dynamic Viscosity for Discharge through Pipe
Go Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient
Dynamic Viscosity given Pressure Gradient at Cylindrical Element
Go Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element
Go Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Pipe Radius^2)

Dynamic Viscosity given Velocity at any point in Cylindrical Element Formula

Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
μviscosity = -(1/(4*uFluid))*dp|dr*((R^2)-(dradial^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 given Velocity at any point in Cylindrical Element?

Dynamic Viscosity given Velocity at any point in Cylindrical Element calculator uses Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Velocity at any point in Cylindrical Element formula is defined as resistance offered by the fluid. Dynamic Viscosity is denoted by μviscosity symbol.

How to calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element using this online calculator? To use this online calculator for Dynamic Viscosity given Velocity at any point in Cylindrical Element, enter Fluid Velocity in Pipe (uFluid), Pressure Gradient (dp|dr), Pipe Radius (R) & Radial Distance (dradial) and hit the calculate button. Here is how the Dynamic Viscosity given Velocity at any point in Cylindrical Element calculation can be explained with given input values -> 119.85 = -(1/(4*300))*17*((0.138^2)-(9.2^2)).

FAQ

What is Dynamic Viscosity given Velocity at any point in Cylindrical Element?
The Dynamic Viscosity given Velocity at any point in Cylindrical Element formula is defined as resistance offered by the fluid and is represented as μviscosity = -(1/(4*uFluid))*dp|dr*((R^2)-(dradial^2)) or Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2)). Fluid Velocity in Pipe is the volume of fluid flowing in the given vessel per unit cross sectional area, Pressure Gradient is the change in pressure with respect to radial distance of element, The Pipe Radius is the radius of the pipe through which the fluid is flowing & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
How to calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element?
The Dynamic Viscosity given Velocity at any point in Cylindrical Element formula is defined as resistance offered by the fluid is calculated using Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2)). To calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element, you need Fluid Velocity in Pipe (uFluid), Pressure Gradient (dp|dr), Pipe Radius (R) & Radial Distance (dradial). With our tool, you need to enter the respective value for Fluid Velocity in Pipe, Pressure Gradient, Pipe Radius & Radial 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 Fluid Velocity in Pipe, Pressure Gradient, Pipe Radius & Radial Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
  • Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Pipe Radius^2)
  • Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient
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