Dynamic Viscosity given Pressure Gradient at Cylindrical Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
μviscosity = (1/(2*VG))*dp|dr*dradial
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.
Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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
Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μviscosity = (1/(2*VG))*dp|dr*dradial --> (1/(2*76.6))*17*9.2
Evaluating ... ...
μviscosity = 1.02088772845953
STEP 3: Convert Result to Output's Unit
1.02088772845953 Pascal Second -->10.2088772845953 Poise (Check conversion here)
FINAL ANSWER
10.2088772845953 10.20888 Poise <-- Dynamic Viscosity
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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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 Pressure Gradient at Cylindrical Element Formula

Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
μviscosity = (1/(2*VG))*dp|dr*dradial

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 Pressure Gradient at Cylindrical Element?

Dynamic Viscosity given Pressure Gradient at Cylindrical Element calculator uses Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance to calculate the Dynamic Viscosity, The Dynamic Viscosity given Pressure Gradient at Cylindrical Element is defined as the resistance offered by the fluid on the flow. Dynamic Viscosity is denoted by μviscosity symbol.

How to calculate Dynamic Viscosity given Pressure Gradient at Cylindrical Element using this online calculator? To use this online calculator for Dynamic Viscosity given Pressure Gradient at Cylindrical Element, enter Velocity Gradient (VG), Pressure Gradient (dp|dr) & Radial Distance (dradial) and hit the calculate button. Here is how the Dynamic Viscosity given Pressure Gradient at Cylindrical Element calculation can be explained with given input values -> 102.0888 = (1/(2*76.6))*17*9.2.

FAQ

What is Dynamic Viscosity given Pressure Gradient at Cylindrical Element?
The Dynamic Viscosity given Pressure Gradient at Cylindrical Element is defined as the resistance offered by the fluid on the flow and is represented as μviscosity = (1/(2*VG))*dp|dr*dradial or Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance. Velocity Gradient is the difference in velocity between the adjacent layers of the fluid, Pressure Gradient is the change in pressure with respect to radial distance of element & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
How to calculate Dynamic Viscosity given Pressure Gradient at Cylindrical Element?
The Dynamic Viscosity given Pressure Gradient at Cylindrical Element is defined as the resistance offered by the fluid on the flow is calculated using Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance. To calculate Dynamic Viscosity given Pressure Gradient at Cylindrical Element, you need Velocity Gradient (VG), Pressure Gradient (dp|dr) & Radial Distance (dradial). With our tool, you need to enter the respective value for Velocity Gradient, Pressure Gradient & 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 Velocity Gradient, Pressure Gradient & Radial Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity = -(1/(4*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
  • 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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