Viscosity of Fluid or Oil in Falling Sphere Resistance Method Calculator

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✖The Diameter of Sphere is considered in the falling sphere resistance method.ⓘ Diameter of Sphere [d]			+10% -10%
✖The Velocity of Sphere is considered in the falling sphere resistance method.ⓘ Velocity of Sphere [U]			+10% -10%
✖The Density of Sphere is the density of the sphere used in the falling sphere resistance method.ⓘ Density of Sphere [ρ_s]			+10% -10%
✖Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).ⓘ Density of Liquid [ρ]			+10% -10%

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid or Oil in Falling Sphere Resistance Method [μ]

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Formula

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Viscosity of Fluid or Oil in Falling Sphere Resistance Method

Formula

`"μ" = "[g]"*("d"^2)/(18*"U")*("ρ"_{"s"}-"ρ")`

Example

`"3.762206N*s/m²"="[g]"*(("0.25m")^2)/(18*"4.1m/s")*("1450kg/m³"-"997kg/m³")`

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Viscosity of Fluid or Oil in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)
μ = [g]*(d^2)/(18*U)*(ρ_s-ρ)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere is considered in the falling sphere resistance method.
Velocity of Sphere - (Measured in Meter per Second) - The Velocity of Sphere is considered in the falling sphere resistance method.
Density of Sphere - (Measured in Kilogram per Cubic Meter) - The Density of Sphere is the density of the sphere used in the falling sphere resistance method.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).

STEP 1: Convert Input(s) to Base Unit

Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required
Velocity of Sphere: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Density of Sphere: 1450 Kilogram per Cubic Meter --> 1450 Kilogram per Cubic Meter No Conversion Required
Density of Liquid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = [g]*(d^2)/(18*U)*(ρ_s-ρ) --> [g]*(0.25^2)/(18*4.1)*(1450-997)

Evaluating ... ...

μ = 3.76220566565041

STEP 3: Convert Result to Output's Unit

3.76220566565041 Pascal Second -->3.76220566565041 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

3.76220566565041 ≈ 3.762206 Newton Second per Square Meter <-- Viscosity of Fluid

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Flow Analysis » Viscosity of Fluid or Oil in Falling Sphere Resistance Method

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 13 Flow Analysis Calculators

Viscosity of Fluid or Oil in Rotating Cylinder Method

Go 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)))

Viscosity of Fluid or Oil for Capillary Tube Method

Go Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe

Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Power Absorbed in Collar Bearing

Go Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

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

Go Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)

Mean Free Path given Fluid Viscosity and Density

Go Mean Free Path = (((pi)^0.5)*Viscosity of Fluid)/(Liquid Density*((Thermodynamic Beta*Universal Gas Constant*2)^(0.5)))

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing

Go Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film

Viscosity of Fluid or Oil in Falling Sphere Resistance Method

Go Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)

Loss of Head Due to Friction

Go Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])

Difference of Pressure for Viscous Flow between Two Parallel Plates

Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Difference of Pressure for Viscous or Laminar Flow

Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Power Absorbed in Foot-Step Bearing

Go Power Absorbed = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Shaft Diameter/2)^4)/(Thickness of Oil Film)

Viscosity of Fluid or Oil in Falling Sphere Resistance Method Formula

Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)
μ = [g]*(d^2)/(18*U)*(ρ_s-ρ)

How does a falling ball viscometer work?

The classic falling-ball viscometer works according to the Hoeppler principle. It measures the time a ball takes to move through the sample liquid. To obtain viscosity values, a calibration with a viscosity reference standard and the sample's density is required.

How Stoke's law is related here?

Stoke's law is the basis of the falling sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

How to Calculate Viscosity of Fluid or Oil in Falling Sphere Resistance Method?

Viscosity of Fluid or Oil in Falling Sphere Resistance Method calculator uses Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid) to calculate the Viscosity of Fluid, The Viscosity of fluid or oil in falling sphere resistance method formula known while considering the diameter and velocity of a sphere with the density of sphere and fluid. Viscosity of Fluid is denoted by μ symbol.

How to calculate Viscosity of Fluid or Oil in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Viscosity of Fluid or Oil in Falling Sphere Resistance Method, enter Diameter of Sphere (d), Velocity of Sphere (U), Density of Sphere (ρ_s) & Density of Liquid (ρ) and hit the calculate button. Here is how the Viscosity of Fluid or Oil in Falling Sphere Resistance Method calculation can be explained with given input values -> 0.617002 = [g]*(0.25^2)/(18*4.1)*(1450-997).

FAQ

What is Viscosity of Fluid or Oil in Falling Sphere Resistance Method?

The Viscosity of fluid or oil in falling sphere resistance method formula known while considering the diameter and velocity of a sphere with the density of sphere and fluid and is represented as μ = [g]*(d^2)/(18*U)*(ρ_s-ρ) or Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid). The Diameter of Sphere is considered in the falling sphere resistance method, The Velocity of Sphere is considered in the falling sphere resistance method, The Density of Sphere is the density of the sphere used in the falling sphere resistance method & Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).

How to calculate Viscosity of Fluid or Oil in Falling Sphere Resistance Method?

The Viscosity of fluid or oil in falling sphere resistance method formula known while considering the diameter and velocity of a sphere with the density of sphere and fluid is calculated using Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid). To calculate Viscosity of Fluid or Oil in Falling Sphere Resistance Method, you need Diameter of Sphere (d), Velocity of Sphere (U), Density of Sphere (ρ_s) & Density of Liquid (ρ). With our tool, you need to enter the respective value for Diameter of Sphere, Velocity of Sphere, Density of Sphere & Density of Liquid 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 Viscosity of Fluid?

In this formula, Viscosity of Fluid uses Diameter of Sphere, Velocity of Sphere, Density of Sphere & Density of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (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)))

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