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Dynamic Viscosity given Velocity Gradient with Shear Stress Formula

GoDynamic Viscosity given Flow Velocity of Stream Formula

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

μ - Dynamic Viscosity?γ_f - Specific Weight of Liquid?V_G - Velocity Gradient?dh_/dx - Piezometric Gradient?d_radial - Radial Distance?

Dynamic Viscosity given Velocity Gradient with Shear Stress Example

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Here is how the Dynamic Viscosity given Velocity Gradient with Shear Stress equation looks like with Values.

Here is how the Dynamic Viscosity given Velocity Gradient with Shear Stress equation looks like with Units.

Here is how the Dynamic Viscosity given Velocity Gradient with Shear Stress equation looks like.

58911.2272 = (\frac{9.81}{76.6}) \cdot 10 \cdot 0.5 \cdot 9.2

58911.2272P = (\frac{9.81kN/m³}{76.6m/s}) \cdot 10 \cdot 0.5 \cdot 9.2m

58911.2272 = (\frac{9.81}{76.6}) \cdot 10 \cdot 0.5 \cdot 9.2

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Dynamic Viscosity given Velocity Gradient with Shear Stress Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Velocity Gradient with Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

μ = (\frac{9810N/m³}{76.6m/s}) \cdot 10 \cdot 0.5 \cdot 9.2m

Next Step Prepare to Evaluate

∴

μ = (\frac{9810}{76.6}) \cdot 10 \cdot 0.5 \cdot 9.2

Next Step Evaluate

∴

μ = 5891.1227154047Pa*s

Next Step Convert to Output's Unit

∴

μ = 58911.227154047P

LAST Step Rounding Answer

∴

μ = 58911.2272P

Dynamic Viscosity given Velocity Gradient with Shear Stress 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.

Formulas to find Dynamic Viscosity

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Velocity Gradient

The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.

Symbol: V_G

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Gradient

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.

Symbol: dh_/dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric Gradient

Radial Distance

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.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Flow Velocity of Stream

μ = (\frac{γ f}{(4 \cdot v)} \cdot dh /dx \cdot ({R inclined}^{2} - {d radial}^{2}))

Other formulas in Laminar Flow Through Inclined Pipes category

Go Shear Stresses

𝜏 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

Go Radius of Elemental Section of Pipe given Shear Stress

d radial = \frac{2 \cdot 𝜏}{γ f \cdot dh /dx}

Go Specific Weight of Fluid given Shear Stress

γ f = \frac{2 \cdot 𝜏}{d radial \cdot dh /dx}

Go Piezometric Gradient given Shear Stress

dh /dx = \frac{2 \cdot 𝜏}{γ f \cdot d radial}

How to Evaluate Dynamic Viscosity given Velocity Gradient with Shear Stress?

Dynamic Viscosity given Velocity Gradient with Shear Stress evaluator uses Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance to evaluate 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 evaluate Dynamic Viscosity given Velocity Gradient with Shear Stress using this online evaluator? To use this online evaluator 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.

FAQs on Dynamic Viscosity given Velocity Gradient with Shear Stress

What is the formula to find Dynamic Viscosity given Velocity Gradient with Shear Stress?

The formula of Dynamic Viscosity given Velocity Gradient with Shear Stress is expressed as Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance. Here is an example- 589112.3 = (9810/76.6)*10*0.5*9.2.

How to calculate Dynamic Viscosity given Velocity Gradient with Shear Stress?

With Specific Weight of Liquid (γ_f), Velocity Gradient (V_G), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) we can find Dynamic Viscosity given Velocity Gradient with Shear Stress using the formula - Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance.

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

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

Can the Dynamic Viscosity given Velocity Gradient with Shear Stress be negative?

No, the Dynamic Viscosity given Velocity Gradient with Shear Stress, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Velocity Gradient with Shear Stress?

Dynamic Viscosity given Velocity Gradient with Shear Stress 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 Velocity Gradient with Shear Stress can be measured.

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Dynamic Viscosity given Velocity Gradient with Shear Stress Formula

​GoDynamic Viscosity given Flow Velocity of Stream Formula

Dynamic Viscosity given Velocity Gradient with Shear Stress Example

Dynamic Viscosity given Velocity Gradient with Shear Stress Solution

Dynamic Viscosity given Velocity Gradient with Shear Stress Formula Elements

Other Formulas to find Dynamic Viscosity

Other formulas in Laminar Flow Through Inclined Pipes category

How to Evaluate Dynamic Viscosity given Velocity Gradient with Shear Stress?

FAQs on Dynamic Viscosity given Velocity Gradient with Shear Stress

Variable Name

GoDynamic Viscosity given Flow Velocity of Stream Formula