FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula

GoViscosity of Fluid or Oil for Movement of Piston in Dash-Pot Formula

GoViscosity of Fluid or Oil for Capillary Tube Method Formula

Fx Copy

LaTeX Copy

The Viscosity of fluid is a measure of its resistance to deformation at a given rate. Check FAQs

μ = \frac{2 \cdot (r 2 - r 1) \cdot C \cdot τ}{π \cdot {r 1}^{2} \cdot N \cdot (4 \cdot H i \cdot C \cdot r 2 + {r 1}^{2} \cdot (r 2 - r 1))}

μ - Viscosity of Fluid?r₂ - Outer Radius of Cylinder?r₁ - Inner Radius of Cylinder?C - Clearance?τ - Torque Exerted on Wheel?N - Mean Speed in RPM?H_i - Initial Height of Liquid?π - Archimedes' constant?

Viscosity of Fluid or Oil in Rotating Cylinder Method Example

With values

With units

Only example

Here is how the Viscosity of Fluid or Oil in Rotating Cylinder Method equation looks like with Values.

Here is how the Viscosity of Fluid or Oil in Rotating Cylinder Method equation looks like with Units.

Here is how the Viscosity of Fluid or Oil in Rotating Cylinder Method equation looks like.

8.23 = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 1.0691 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

8.23N*s/m² = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 1.0691rev/min \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

8.23 = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 1.0691 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Fluid Mechanics » fx Viscosity of Fluid or Oil in Rotating Cylinder Method

Viscosity of Fluid or Oil in Rotating Cylinder Method Solution

Follow our step by step solution on how to calculate Viscosity of Fluid or Oil in Rotating Cylinder Method?

FIRST Step Consider the formula

μ = \frac{2 \cdot (r 2 - r 1) \cdot C \cdot τ}{π \cdot {r 1}^{2} \cdot N \cdot (4 \cdot H i \cdot C \cdot r 2 + {r 1}^{2} \cdot (r 2 - r 1))}

Next Step Substitute values of Variables

∴

μ = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{π \cdot {1.52m}^{2} \cdot 1.0691rev/min \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Substitute values of Constants

∴

μ = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 1.0691rev/min \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Convert Units

∴

μ = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 0.0178Hz \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Prepare to Evaluate

∴

μ = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 0.0178 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

Next Step Evaluate

∴

μ = 8.23000012510522Pa*s

Next Step Convert to Output's Unit

∴

μ = 8.23000012510522N*s/m²

LAST Step Rounding Answer

∴

μ = 8.23N*s/m²

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula Elements

Variables

Constants

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Outer Radius of Cylinder

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

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylinder

Inner Radius of Cylinder

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

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cylinder

Clearance

Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Clearance

Torque Exerted on Wheel

Torque Exerted on Wheel 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: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

Mean Speed in RPM

Mean Speed in RPM is an average of individual vehicle speeds.

Symbol: N

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Mean Speed in RPM

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

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 to find Viscosity of Fluid

Go Viscosity of Fluid or Oil for Movement of Piston in Dash-Pot

μ = \frac{4 \cdot W b \cdot C^{3}}{3 \cdot π \cdot L \cdot {d p}^{3} \cdot V}

Go Viscosity of Fluid or Oil for Capillary Tube Method

μ = \frac{π \cdot ρ l \cdot [g] \cdot h \cdot 4 \cdot r^{4}}{128 \cdot Q \cdot L}

Other formulas in Flow Analysis category

Go Difference of Pressure for Viscous or Laminar Flow

Δp = \frac{32 \cdot μ \cdot v a \cdot L}{{d o}^{2}}

Go Difference of Pressure for Viscous Flow between Two Parallel Plates

Δp = \frac{12 \cdot μ \cdot V \cdot L}{t^{2}}

How to Evaluate Viscosity of Fluid or Oil in Rotating Cylinder Method?

Viscosity of Fluid or Oil in Rotating Cylinder Method evaluator uses Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))) to evaluate the Viscosity of Fluid, Viscosity of Fluid or Oil in Rotating Cylinder Method, the viscosity of a fluid is determined by measuring the torque required to rotate a cylinder immersed in the fluid. The viscosity is related to the angular velocity of the cylinder, the shear stress, and the shear rate within the fluid. Viscosity of Fluid is denoted by μ symbol.

How to evaluate Viscosity of Fluid or Oil in Rotating Cylinder Method using this online evaluator? To use this online evaluator for Viscosity of Fluid or Oil in Rotating Cylinder Method, enter Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Mean Speed in RPM (N) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Viscosity of Fluid or Oil in Rotating Cylinder Method

What is the formula to find Viscosity of Fluid or Oil in Rotating Cylinder Method?

The formula of Viscosity of Fluid or Oil in Rotating Cylinder Method is expressed as Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). Here is an example- 8.230002 = (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*0.0178179333333333*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52))).

How to calculate Viscosity of Fluid or Oil in Rotating Cylinder Method?

With Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Mean Speed in RPM (N) & Initial Height of Liquid (H_i) we can find Viscosity of Fluid or Oil in Rotating Cylinder Method using the formula - Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Viscosity of Fluid?

Here are the different ways to Calculate Viscosity of Fluid-

Viscosity of Fluid=(4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)
Viscosity of Fluid=(pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)
Viscosity of Fluid=[g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)

Can the Viscosity of Fluid or Oil in Rotating Cylinder Method be negative?

Yes, the Viscosity of Fluid or Oil in Rotating Cylinder Method, measured in Dynamic Viscosity can be negative.

Which unit is used to measure Viscosity of Fluid or Oil in Rotating Cylinder Method?

Viscosity of Fluid or Oil in Rotating Cylinder Method is usually measured using the Newton Second per Square Meter[N*s/m²] for Dynamic Viscosity. Pascal Second[N*s/m²], Millinewton Second per Square Meter[N*s/m²], Dyne Second per Square Centimeter[N*s/m²] are the few other units in which Viscosity of Fluid or Oil in Rotating Cylinder Method can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula

​GoViscosity of Fluid or Oil for Movement of Piston in Dash-Pot Formula

​GoViscosity of Fluid or Oil for Capillary Tube Method Formula

Viscosity of Fluid or Oil in Rotating Cylinder Method Example

Viscosity of Fluid or Oil in Rotating Cylinder Method Solution

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula Elements

Other Formulas to find Viscosity of Fluid

Other formulas in Flow Analysis category

How to Evaluate Viscosity of Fluid or Oil in Rotating Cylinder Method?

FAQs on Viscosity of Fluid or Oil in Rotating Cylinder Method

Variable Name

GoViscosity of Fluid or Oil for Movement of Piston in Dash-Pot Formula

GoViscosity of Fluid or Oil for Capillary Tube Method Formula