Dynamic Viscosity for Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient
μviscosity = (pi/(8*Q))*(R^4)*dp|dr
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Discharge in pipe - (Measured in Cubic Meter per Second) - Discharge in pipe is the rate of flow of a liquid.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
STEP 1: Convert Input(s) to Base Unit
Discharge in pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Pipe Radius: 138 Millimeter --> 0.138 Meter (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μviscosity = (pi/(8*Q))*(R^4)*dp|dr --> (pi/(8*1.000001))*(0.138^4)*17
Evaluating ... ...
μviscosity = 0.00242116684642861
STEP 3: Convert Result to Output's Unit
0.00242116684642861 Pascal Second -->0.0242116684642861 Poise (Check conversion here)
FINAL ANSWER
0.0242116684642861 0.024212 Poise <-- Dynamic Viscosity
(Calculation completed in 00.004 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 for Discharge through Pipe Formula

Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient
μviscosity = (pi/(8*Q))*(R^4)*dp|dr

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 for Discharge through Pipe?

Dynamic Viscosity for Discharge through Pipe calculator uses Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient to calculate the Dynamic Viscosity, The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow. Dynamic Viscosity is denoted by μviscosity symbol.

How to calculate Dynamic Viscosity for Discharge through Pipe using this online calculator? To use this online calculator for Dynamic Viscosity for Discharge through Pipe, enter Discharge in pipe (Q), Pipe Radius (R) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Dynamic Viscosity for Discharge through Pipe calculation can be explained with given input values -> 0.242117 = (pi/(8*1.000001))*(0.138^4)*17.

FAQ

What is Dynamic Viscosity for Discharge through Pipe?
The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow and is represented as μviscosity = (pi/(8*Q))*(R^4)*dp|dr or Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient. Discharge in pipe is the rate of flow of a liquid, The Pipe Radius is the radius of the pipe through which the fluid is flowing & Pressure Gradient is the change in pressure with respect to radial distance of element.
How to calculate Dynamic Viscosity for Discharge through Pipe?
The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow is calculated using Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient. To calculate Dynamic Viscosity for Discharge through Pipe, you need Discharge in pipe (Q), Pipe Radius (R) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Discharge in pipe, Pipe Radius & Pressure Gradient 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 Discharge in pipe, Pipe Radius & Pressure Gradient. 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*Fluid Velocity in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
  • Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Pipe Radius^2)
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