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Viscosity using Viscometer Formula

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Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. Check FAQs

μ viscosity = (\frac{T \cdot ℓ fluid}{4 \cdot (π^{2}) \cdot (R^{3}) \cdot ṅ \cdot L Cylinder})

μ_viscosity - Dynamic Viscosity?T - Torque?ℓ_fluid - Thickness of Fluid Layer?R - Radius of Inner Cylinder?ṅ - Revolutions per Second?L_Cylinder - Length of Cylinder?π - Archimedes' constant?

Viscosity using Viscometer Example

With values

With units

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Here is how the Viscosity using Viscometer equation looks like with Values.

Here is how the Viscosity using Viscometer equation looks like with Units.

Here is how the Viscosity using Viscometer equation looks like.

0.1494 = (\frac{1.8 \cdot 0.0015}{4 \cdot ({3.1416}^{2}) \cdot ({0.06}^{3}) \cdot 5.3 \cdot 0.4})

0.1494Pa*s = (\frac{1.8N*m \cdot 0.0015m}{4 \cdot ({3.1416}^{2}) \cdot ({0.06m}^{3}) \cdot 5.3rev/s \cdot 0.4m})

0.1494 = (\frac{1.8 \cdot 0.0015}{4 \cdot ({3.1416}^{2}) \cdot ({0.06}^{3}) \cdot 5.3 \cdot 0.4})

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Viscosity using Viscometer Solution

Follow our step by step solution on how to calculate Viscosity using Viscometer?

FIRST Step Consider the formula

μ viscosity = (\frac{T \cdot ℓ fluid}{4 \cdot (π^{2}) \cdot (R^{3}) \cdot ṅ \cdot L Cylinder})

Next Step Substitute values of Variables

∴

μ viscosity = (\frac{1.8N*m \cdot 0.0015m}{4 \cdot (π^{2}) \cdot ({0.06m}^{3}) \cdot 5.3rev/s \cdot 0.4m})

Next Step Substitute values of Constants

∴

μ viscosity = (\frac{1.8N*m \cdot 0.0015m}{4 \cdot ({3.1416}^{2}) \cdot ({0.06m}^{3}) \cdot 5.3rev/s \cdot 0.4m})

Next Step Convert Units

∴

μ viscosity = (\frac{1.8N*m \cdot 0.0015m}{4 \cdot ({3.1416}^{2}) \cdot ({0.06m}^{3}) \cdot 5.3Hz \cdot 0.4m})

Next Step Prepare to Evaluate

∴

μ viscosity = (\frac{1.8 \cdot 0.0015}{4 \cdot ({3.1416}^{2}) \cdot ({0.06}^{3}) \cdot 5.3 \cdot 0.4})

Next Step Evaluate

∴

μ viscosity = 0.149353159850144Pa*s

LAST Step Rounding Answer

∴

μ viscosity = 0.1494Pa*s

Viscosity using Viscometer Formula Elements

Variables

Constants

Dynamic Viscosity

Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Open Variable

Torque

Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque

Open Variable

Thickness of Fluid Layer

Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated.

Symbol: ℓ_fluid

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Thickness of Fluid Layer

Open Variable

Radius of Inner Cylinder

The Radius of Inner Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Inner Cylinder

Open Variable

Revolutions per Second

Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.

Symbol: ṅ

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Revolutions per Second

Open Variable

Length of Cylinder

Length of cylinder is the vertical height of the cylinder.

Symbol: L_Cylinder

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Cylinder

Open Variable

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Basic Formulas category

Go Momentum Diffusivity

𝜈 = \frac{μ viscosity}{ρ}

Go Height of Capillary Rise or Fall

h c = 4 \cdot σ \cdot \frac{\cos (θ)}{ρ \cdot [g] \cdot d}

Go Hydrostatic Force on Horizontal Plane Submerged Surface

F = ρ \cdot [g] \cdot z s \cdot A

Go Hydrostatic Force on Curved Submerged Surface

F = \sqrt{{(ρ \cdot [g] \cdot V T)}^{2} + {(ρ \cdot [g] \cdot z s \cdot A)}^{2}}

See More

OpenImg

How to Evaluate Viscosity using Viscometer?

Viscosity using Viscometer evaluator uses Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)) to evaluate the Dynamic Viscosity, The Viscosity using Viscometer formula is defined as the function of torque, thickness of fluid layer, radius of inner cylinder, revolutions per second & length of cylinder. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to evaluate Viscosity using Viscometer using this online evaluator? To use this online evaluator for Viscosity using Viscometer, enter Torque (T), Thickness of Fluid Layer (ℓ_fluid), Radius of Inner Cylinder (R), Revolutions per Second (ṅ) & Length of Cylinder (L_Cylinder) and hit the calculate button.

FAQs on Viscosity using Viscometer

What is the formula to find Viscosity using Viscometer?

The formula of Viscosity using Viscometer is expressed as Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)). Here is an example- 0.149353 = ((1.8*0.0015)/(4*(pi^2)*(0.06^3)*5.3*0.4)).

How to calculate Viscosity using Viscometer?

With Torque (T), Thickness of Fluid Layer (ℓ_fluid), Radius of Inner Cylinder (R), Revolutions per Second (ṅ) & Length of Cylinder (L_Cylinder) we can find Viscosity using Viscometer using the formula - Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)). This formula also uses Archimedes' constant .

Can the Viscosity using Viscometer be negative?

No, the Viscosity using Viscometer, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Viscosity using Viscometer?

Viscosity using Viscometer is usually measured using the Pascal Second[Pa*s] for Dynamic Viscosity. Newton Second per Square Meter[Pa*s], Millinewton Second per Square Meter[Pa*s], Dyne Second per Square Centimeter[Pa*s] are the few other units in which Viscosity using Viscometer can be measured.

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