Dynamic Viscosity given Velocity Gradient with Shear Stress Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [V_G]			+10% -10%
✖The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.ⓘ Piezometric Gradient [dh_/dx]			+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 Velocity Gradient with Shear Stress [μ]

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Formula

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Dynamic Viscosity given Velocity Gradient with Shear Stress

Formula

μ = (\frac{γ f}{V G}) \cdot dh /dx \cdot 0.5 \cdot d radial

Example

58911.23 P = (\frac{9.81 kN/m³}{76.6 m/s}) \cdot 10 \cdot 0.5 \cdot 9.2 m

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Dynamic Viscosity given Velocity Gradient with Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance
μ = (γ_f/V_G)*dh_/dx*0.5*d_radial
This formula uses 5 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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
Piezometric Gradient - The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.
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

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second No Conversion Required
Piezometric Gradient: 10 --> No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (γ_f/V_G)*dh_/dx*0.5*d_radial --> (9810/76.6)*10*0.5*9.2

Evaluating ... ...

μ = 5891.1227154047

STEP 3: Convert Result to Output's Unit

5891.1227154047 Pascal Second -->58911.227154047 Poise (Check conversion here)

FINAL ANSWER

58911.227154047 ≈ 58911.23 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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< Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Shear Stress

Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)

Specific Weight of Fluid given Shear Stress

Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)

Piezometric Gradient given Shear Stress

Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)

Shear Stresses

Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Dynamic Viscosity given Velocity Gradient with Shear Stress Formula

Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance
μ = (γ_f/V_G)*dh_/dx*0.5*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 Velocity Gradient with Shear Stress?

Dynamic Viscosity given Velocity Gradient with Shear Stress calculator uses Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance to calculate the Dynamic Viscosity, The Dynamic Viscosity given Velocity Gradient with Shear Stress is defined as resistance offered by the fluid in the pipe flow. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Velocity Gradient with Shear Stress using this online calculator? To use this online calculator for Dynamic Viscosity given Velocity Gradient with Shear Stress, enter Specific Weight of Liquid (γ_f), Velocity Gradient (V_G), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) and hit the calculate button. Here is how the Dynamic Viscosity given Velocity Gradient with Shear Stress calculation can be explained with given input values -> 589112.3 = (9810/76.6)*10*0.5*9.2.

FAQ

What is Dynamic Viscosity given Velocity Gradient with Shear Stress?

The Dynamic Viscosity given Velocity Gradient with Shear Stress is defined as resistance offered by the fluid in the pipe flow and is represented as μ = (γ_f/V_G)*dh_/dx*0.5*d_radial or Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance. The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid, The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system & 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 Velocity Gradient with Shear Stress?

The Dynamic Viscosity given Velocity Gradient with Shear Stress is defined as resistance offered by the fluid in the pipe flow is calculated using Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance. To calculate Dynamic Viscosity given Velocity Gradient with Shear Stress, you need Specific Weight of Liquid (γ_f), Velocity Gradient (V_G), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Specific Weight of Liquid, Velocity Gradient, Piezometric 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 Specific Weight of Liquid, Velocity Gradient, Piezometric Gradient & Radial Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

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