Dynamic Viscosity of fluid given Terminal Fall Velocity Calculator

✖The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere [D_S]			+10% -10%
✖Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).ⓘ Terminal Velocity [V_terminal]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.ⓘ Specific Weight of Liquid in Piezometer [S]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity of fluid given Terminal Fall Velocity [μ]

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Dynamic Viscosity of fluid given Terminal Fall Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
μ = ((D_S^2)/(18*V_terminal))*(γ_f-S)
This formula uses 5 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.
Terminal Velocity - (Measured in Meter per Second) - Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Specific Weight of Liquid in Piezometer - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.

STEP 1: Convert Input(s) to Base Unit

Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
Terminal Velocity: 49 Meter per Second --> 49 Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Specific Weight of Liquid in Piezometer: 0.75 Kilonewton per Cubic Meter --> 0.75 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = ((D_S^2)/(18*V_terminal))*(γ_f-S) --> ((10^2)/(18*49))*(9.81-0.75)

Evaluating ... ...

μ = 1.02721088435374

STEP 3: Convert Result to Output's Unit

1.02721088435374 Pascal Second -->10.2721088435374 Poise (Check conversion here)

FINAL ANSWER

10.2721088435374 ≈ 10.27211 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

LaTeX Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

Diameter of Sphere given Resistance Force on Spherical Surface

LaTeX Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)

Velocity of Sphere given Resistance Force on Spherical Surface

LaTeX Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)

Resistance Force on Spherical Surface

LaTeX Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Dynamic Viscosity of fluid given Terminal Fall Velocity Formula

LaTeX Go

Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
μ = ((D_S^2)/(18*V_terminal))*(γ_f-S)

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Dynamic Viscosity of fluid given Terminal Fall Velocity?

Dynamic Viscosity of fluid given Terminal Fall Velocity calculator uses Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer) to calculate the Dynamic Viscosity, The Dynamic Viscosity of fluid given Terminal Fall Velocity is defined as resistance offered by fluid on relative motion of object in stream. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity of fluid given Terminal Fall Velocity using this online calculator? To use this online calculator for Dynamic Viscosity of fluid given Terminal Fall Velocity, enter Diameter of Sphere (D_S), Terminal Velocity (V_terminal), Specific Weight of Liquid (γ_f) & Specific Weight of Liquid in Piezometer (S) and hit the calculate button. Here is how the Dynamic Viscosity of fluid given Terminal Fall Velocity calculation can be explained with given input values -> 559.2593 = ((10^2)/(18*49))*(9810-750).

FAQ

What is Dynamic Viscosity of fluid given Terminal Fall Velocity?

The Dynamic Viscosity of fluid given Terminal Fall Velocity is defined as resistance offered by fluid on relative motion of object in stream and is represented as μ = ((D_S^2)/(18*V_terminal))*(γ_f-S) or Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere, Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example), The Specific Weight of Liquid refers to the weight per unit volume of that substance & Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.

How to calculate Dynamic Viscosity of fluid given Terminal Fall Velocity?

The Dynamic Viscosity of fluid given Terminal Fall Velocity is defined as resistance offered by fluid on relative motion of object in stream is calculated using Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). To calculate Dynamic Viscosity of fluid given Terminal Fall Velocity, you need Diameter of Sphere (D_S), Terminal Velocity (V_terminal), Specific Weight of Liquid (γ_f) & Specific Weight of Liquid in Piezometer (S). With our tool, you need to enter the respective value for Diameter of Sphere, Terminal Velocity, Specific Weight of Liquid & Specific Weight of Liquid in Piezometer 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Diameter of Sphere, Terminal Velocity, Specific Weight of Liquid & Specific Weight of Liquid in Piezometer. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

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