Viscosity of Fluid or Oil in Falling Sphere Resistance Method Calculator

✖Diameter of Sphere is considered in the falling sphere resistance method.ⓘ Diameter of Sphere [d]			+10% -10%
✖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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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) - Diameter of Sphere is considered in the falling sphere resistance method.
Velocity of Sphere - (Measured in Meter per Second) - 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: 984.6633 Kilogram per Cubic Meter --> 984.6633 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)*(1450-984.6633)

Evaluating ... ...

μ = 3.86466306661162

STEP 3: Convert Result to Output's Unit

3.86466306661162 Pascal Second -->3.86466306661162 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

3.86466306661162 ≈ 3.864663 Newton Second per Square Meter <-- Viscosity of Fluid

(Calculation completed in 00.008 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

LaTeX 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

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

Difference of Pressure for Viscous Flow between Two Parallel Plates

LaTeX 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

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

Viscosity of Fluid or Oil in Falling Sphere Resistance Method Formula

LaTeX Go

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, Viscosity of Fluid or Oil in Falling Sphere Resistance Method, the viscosity of a fluid is determined by measuring the resistance encountered by a sphere falling through the fluid. The viscosity is related to the sphere's terminal velocity, fluid density, and sphere's radius. 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 -> 3.762206 = [g]*(0.25^2)/(18*4.1)*(1450-984.6633).

FAQ

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

Viscosity of Fluid or Oil in Falling Sphere Resistance Method, the viscosity of a fluid is determined by measuring the resistance encountered by a sphere falling through the fluid. The viscosity is related to the sphere's terminal velocity, fluid density, and sphere's radius 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). Diameter of Sphere is considered in the falling sphere resistance method, 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?

Viscosity of Fluid or Oil in Falling Sphere Resistance Method, the viscosity of a fluid is determined by measuring the resistance encountered by a sphere falling through the fluid. The viscosity is related to the sphere's terminal velocity, fluid density, and sphere's radius 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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