Diameter given Settling Velocity with respect to Dynamic Viscosity Calculator

✖Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity of Particles [v_s]			+10% -10%
✖The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Particles [ρ_m]			+10% -10%
✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+10% -10%

✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter given Settling Velocity with respect to Dynamic Viscosity [d]

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Diameter given Settling Velocity with respect to Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid)))
d = sqrt((18*v_s*μ_viscosity)/([g]*(ρ_m-ρ_f)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
Settling Velocity of Particles - (Measured in Meter per Second) - Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.
Mass Density of Particles - (Measured in Kilogram per Cubic Meter) - Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

STEP 1: Convert Input(s) to Base Unit

Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mass Density of Particles: 2700 Kilogram per Cubic Meter --> 2700 Kilogram per Cubic Meter No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((18*v_s*μ_viscosity)/([g]*(ρ_m-ρ_f))) --> sqrt((18*0.0016*1.02)/([g]*(2700-1000)))

Evaluating ... ...

d = 0.00132742970285656

STEP 3: Convert Result to Output's Unit

0.00132742970285656 Meter --> No Conversion Required

FINAL ANSWER

0.00132742970285656 ≈ 0.001327 Meter <-- Diameter of a Spherical Particle

(Calculation completed in 00.004 seconds)

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< Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))

Diameter of Particle given Settling Velocity with respect to Specific Gravity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Diameter of Particle given Particle Reynold's Number

LaTeX Go Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Diameter of Particle given Volume of Particle

LaTeX Go Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)

Diameter given Settling Velocity with respect to Dynamic Viscosity Formula

LaTeX Go

What is Stokes law?

Stokes 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 Diameter given Settling Velocity with respect to Dynamic Viscosity?

Diameter given Settling Velocity with respect to Dynamic Viscosity calculator uses Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid))) to calculate the Diameter of a Spherical Particle, The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities. Diameter of a Spherical Particle is denoted by d symbol.

How to calculate Diameter given Settling Velocity with respect to Dynamic Viscosity using this online calculator? To use this online calculator for Diameter given Settling Velocity with respect to Dynamic Viscosity, enter Settling Velocity of Particles (v_s), Dynamic Viscosity (μ_viscosity), Mass Density of Particles (ρ_m) & Mass Density of Fluid (ρ_f) and hit the calculate button. Here is how the Diameter given Settling Velocity with respect to Dynamic Viscosity calculation can be explained with given input values -> 0.001327 = sqrt((18*0.0016*1.02)/([g]*(2700-1000))).

FAQ

What is Diameter given Settling Velocity with respect to Dynamic Viscosity?

The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities and is represented as d = sqrt((18*v_s*μ_viscosity)/([g]*(ρ_m-ρ_f))) or Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid))). Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity, The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress, Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³) & Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

How to calculate Diameter given Settling Velocity with respect to Dynamic Viscosity?

The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities is calculated using Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid))). To calculate Diameter given Settling Velocity with respect to Dynamic Viscosity, you need Settling Velocity of Particles (v_s), Dynamic Viscosity (μ_viscosity), Mass Density of Particles (ρ_m) & Mass Density of Fluid (ρ_f). With our tool, you need to enter the respective value for Settling Velocity of Particles, Dynamic Viscosity, Mass Density of Particles & Mass Density of Fluid 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 Diameter of a Spherical Particle?

In this formula, Diameter of a Spherical Particle uses Settling Velocity of Particles, Dynamic Viscosity, Mass Density of Particles & Mass Density of Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)
Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

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