Dynamic Viscosity given Pressure Gradient at Cylindrical Element Calculator

✖The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [V_G]			+10% -10%
✖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.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Pressure Gradient at Cylindrical Element [μ]

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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
μ = (1/(2*V_G))*dp|dr*d_radial
This formula uses 4 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
Pressure Gradient - (Measured in Newton per Cubic Meter) - 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.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

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

μ = (1/(2*V_G))*dp|dr*d_radial --> (1/(2*76.6))*17*9.2

Evaluating ... ...

μ = 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)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity at any point in Cylindrical Element

LaTeX Go Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))

Dynamic Viscosity for Discharge through Pipe

LaTeX Go Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

LaTeX Go Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)

Dynamic Viscosity given Pressure Gradient at Cylindrical Element

LaTeX Go Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance

Dynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

LaTeX Go

Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
μ = (1/(2*V_G))*dp|dr*d_radial

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 μ 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 (V_G), Pressure Gradient (dp|dr) & Radial Distance (d_radial) 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 μ = (1/(2*V_G))*dp|dr*d_radial or Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance. The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid, 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 & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

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 (V_G), Pressure Gradient (dp|dr) & Radial Distance (d_radial). 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))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))
Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)
Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient

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