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)
μviscosity = ((DS^2)/(18*Vterminal))*(γf-S)
This formula uses 5 Variables
Variables Used
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is 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) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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
μviscosity = ((DS^2)/(18*Vterminal))*(γf-S) --> ((10^2)/(18*49))*(9.81-0.75)
Evaluating ... ...
μviscosity = 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 00.020 seconds)

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18 Laminar Flow around a Sphere– Stokes’ Law Calculators

Coefficient of Drag given Drag Force
Go Coefficient of Drag = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Density of Fluid given Drag Force
Go Density of Fluid = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Coefficient of Drag*0.5)
Projected Area given Drag Force
Go Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Drag Force given Coefficient of Drag
Go Drag Force = Coefficient of Drag*Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5
Coefficient of Drag given density
Go Coefficient of Drag = (24*Drag Force*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Diameter of Sphere)
Dynamic Viscosity of fluid given Terminal Fall Velocity
Go Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Terminal Fall Velocity
Go Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Velocity of Sphere given Drag Force
Go Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
Velocity of Sphere given Coefficient of Drag
Go Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)
Diameter of Sphere given Coefficient of Drag
Go Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
Diameter of Sphere for given Fall Velocity
Go Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Dynamic Viscosity of fluid given Resistance Force on Spherical Surface
Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
Velocity of Sphere given Resistance Force on Spherical Surface
Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Diameter of Sphere given Resistance Force on Spherical Surface
Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Resistance Force on Spherical Surface
Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
Resistance Force on Spherical Surface given Specific Weights
Go Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
Reynolds Number given Coefficient of Drag
Go Reynolds Number = 24/Coefficient of Drag
Coefficient of Drag given Reynolds Number
Go Coefficient of Drag = 24/Reynolds Number

Dynamic Viscosity of fluid given Terminal Fall Velocity Formula

Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
μviscosity = ((DS^2)/(18*Vterminal))*(γf-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 μviscosity 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 (DS), Terminal Velocity (Vterminal), Specific Weight of Liquid 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 μviscosity = ((DS^2)/(18*Vterminal))*(γf-S) or Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). Diameter of Sphere is 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), Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & 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 (DS), Terminal Velocity (Vterminal), Specific Weight of Liquid 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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