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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs
μ=(14Vmax)dp|dr(R2)
μ - Dynamic Viscosity?Vmax - Maximum Velocity?dp|dr - Pressure Gradient?R - Radius of pipe?

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Example

With values
With units
Only example

Here is how the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element equation looks like with Values.

Here is how the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element equation looks like with Units.

Here is how the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element equation looks like.

0.0401Edit=(1420.2Edit)17Edit(138Edit2)
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Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?

FIRST Step Consider the formula
μ=(14Vmax)dp|dr(R2)
Next Step Substitute values of Variables
μ=(1420.2m/s)17N/m³(138mm2)
Next Step Convert Units
μ=(1420.2m/s)17N/m³(0.138m2)
Next Step Prepare to Evaluate
μ=(1420.2)17(0.1382)
Next Step Evaluate
μ=0.00400678217821782Pa*s
Next Step Convert to Output's Unit
μ=0.0400678217821782P
LAST Step Rounding Answer
μ=0.0401P

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Formula Elements

Variables
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Maximum Velocity
The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.
Symbol: Vmax
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Pressure Gradient
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.
Symbol: dp|dr
Measurement: Pressure GradientUnit: N/m³
Note: Value should be greater than 0.
Radius of pipe
The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Dynamic Viscosity

​Go Dynamic Viscosity given Pressure Gradient at Cylindrical Element
μ=(12VG)dp|drdradial
​Go Dynamic Viscosity given Velocity at any point in Cylindrical Element
μ=-(14vFluid)dp|dr((R2)-(dradial2))
​Go Dynamic Viscosity for Discharge through Pipe
μ=(π8Q)(R4)dp|dr

How to Evaluate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element evaluator uses Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Maximum Velocity at axis of Cylindrical Element formula is defined as resistance offered by liquid. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element using this online evaluator? To use this online evaluator for Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element, enter Maximum Velocity (Vmax), Pressure Gradient (dp|dr) & Radius of pipe (R) and hit the calculate button.

FAQs on Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

What is the formula to find Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?
The formula of Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element is expressed as Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2). Here is an example- 0.435145 = (1/(4*20.2))*17*(0.138^2).
How to calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?
With Maximum Velocity (Vmax), Pressure Gradient (dp|dr) & Radius of pipe (R) we can find Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element using the formula - Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2).
What are the other ways to Calculate Dynamic Viscosity?
Here are the different ways to Calculate Dynamic Viscosity-
  • Dynamic Viscosity=(1/(2*Velocity Gradient))*Pressure Gradient*Radial DistanceOpenImg
  • Dynamic Viscosity=-(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))OpenImg
  • Dynamic Viscosity=(pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure GradientOpenImg
Can the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element be negative?
No, the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element, measured in Dynamic Viscosity cannot be negative.
Which unit is used to measure Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?
Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element can be measured.
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