Settling Velocity given Displacement Velocity for Fine Particles Calculator

✖Displacement Velocity refers to the speed at which a particle or object moves through a fluid or medium due to an external force, such as pressure or gravity.ⓘ Displacement Velocity [v_d]			+10% -10%
✖The Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.ⓘ Darcy Friction Factor [f]			+10% -10%

✖Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity given Displacement Velocity for Fine Particles [v_s]

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Settling Velocity given Displacement Velocity for Fine Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = Displacement Velocity/sqrt(8/Darcy Friction Factor)
v_s = v_d/sqrt(8/f)
This formula uses 1 Functions, 3 Variables

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

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.
Displacement Velocity - (Measured in Meter per Second) - Displacement Velocity refers to the speed at which a particle or object moves through a fluid or medium due to an external force, such as pressure or gravity.
Darcy Friction Factor - The Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.

STEP 1: Convert Input(s) to Base Unit

Displacement Velocity: 0.0288 Meter per Second --> 0.0288 Meter per Second No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = v_d/sqrt(8/f) --> 0.0288/sqrt(8/0.5)

Evaluating ... ...

v_s = 0.0072

STEP 3: Convert Result to Output's Unit

0.0072 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0072 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.020 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Settling Velocity Calculators

Settling Velocity

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

Settling Velocity with respect to Specific Gravity of Particle

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

Settling Velocity given Frictional Drag

LaTeX Go Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))

Settling Velocity given Particle Reynold's Number

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

Settling Velocity given Displacement Velocity for Fine Particles Formula

LaTeX Go

Settling Velocity of Particles = Displacement Velocity/sqrt(8/Darcy Friction Factor)
v_s = v_d/sqrt(8/f)

What is Sedimentation?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier. This is due to their motion through the fluid in response to the forces acting on them: these forces can be due to gravity, centrifugal acceleration, or electromagnetism.

How to Calculate Settling Velocity given Displacement Velocity for Fine Particles?

Settling Velocity given Displacement Velocity for Fine Particles calculator uses Settling Velocity of Particles = Displacement Velocity/sqrt(8/Darcy Friction Factor) to calculate the Settling Velocity of Particles, Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid. Settling Velocity of Particles is denoted by v_s symbol.

How to calculate Settling Velocity given Displacement Velocity for Fine Particles using this online calculator? To use this online calculator for Settling Velocity given Displacement Velocity for Fine Particles, enter Displacement Velocity (v_d) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Settling Velocity given Displacement Velocity for Fine Particles calculation can be explained with given input values -> 0.0072 = 0.0288/sqrt(8/0.5).

FAQ

What is Settling Velocity given Displacement Velocity for Fine Particles?

Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid and is represented as v_s = v_d/sqrt(8/f) or Settling Velocity of Particles = Displacement Velocity/sqrt(8/Darcy Friction Factor). Displacement Velocity refers to the speed at which a particle or object moves through a fluid or medium due to an external force, such as pressure or gravity & The Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.

How to calculate Settling Velocity given Displacement Velocity for Fine Particles?

Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid is calculated using Settling Velocity of Particles = Displacement Velocity/sqrt(8/Darcy Friction Factor). To calculate Settling Velocity given Displacement Velocity for Fine Particles, you need Displacement Velocity (v_d) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Displacement Velocity & Darcy Friction Factor 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 Settling Velocity of Particles?

In this formula, Settling Velocity of Particles uses Displacement Velocity & Darcy Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

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