Diameter of Particle given Settling Velocity within Transition Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
Dp = ((Vs')^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6)
This formula uses 5 Variables
Variables Used
Diameter of Particle - (Measured in Meter) - Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.
Settling Velocity in Transition Zone - (Measured in Meter per Second) - Settling Velocity in Transition Zone is the rate at which a particle falls through a fluid under the influence of gravity in transition zone.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity in Transition Zone: 0.0005 Meter per Second --> 0.0005 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific Gravity of Sediment: 1.006 --> No Conversion Required
Kinematic Viscosity: 10.2 Stokes --> 0.00102 Square Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dp = ((Vs')^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6) --> ((0.0005)^(1/0.714)/(9.8*(1.006-1))/(13.88*(0.00102)^(0.6)))^(1/1.6)
Evaluating ... ...
Dp = 0.0193804394951995
STEP 3: Convert Result to Output's Unit
0.0193804394951995 Meter --> No Conversion Required
FINAL ANSWER
0.0193804394951995 0.01938 Meter <-- Diameter of Particle
(Calculation completed in 00.021 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Diameter of Particle Calculators

Diameter of Particle given Settling Velocity of Spherical Particle
​ LaTeX ​ Go Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity)))
Diameter of Particle given Settling Velocity within Transition Zone
​ LaTeX ​ Go Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
Diameter of Particle given Settling Velocity for Turbulent Settling
​ LaTeX ​ Go Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2
Diameter of Particle given Reynold Number
​ LaTeX ​ Go Diameter of Particle = (Reynolds Number of Particle*Kinematic Viscosity)/Settling Velocity

Diameter of Particle given Settling Velocity within Transition Zone Formula

​LaTeX ​Go
Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
Dp = ((Vs')^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6)

What is Settling Velocity?

The velocity reached by a particle as it falls through a fluid, dependent on its size and shape, and the difference between its specific gravity and that of the settling medium; used to sort particles by grain size.

How to Calculate Diameter of Particle given Settling Velocity within Transition Zone?

Diameter of Particle given Settling Velocity within Transition Zone calculator uses Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6) to calculate the Diameter of Particle, The Diameter of Particle given Settling Velocity within Transition Zone formula is defined as the calculation of diameter of particle when we have prior information of settling velocity in transition zone. Diameter of Particle is denoted by Dp symbol.

How to calculate Diameter of Particle given Settling Velocity within Transition Zone using this online calculator? To use this online calculator for Diameter of Particle given Settling Velocity within Transition Zone, enter Settling Velocity in Transition Zone (Vs'), Acceleration due to Gravity (g), Specific Gravity of Sediment (G) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity within Transition Zone calculation can be explained with given input values -> 0.01938 = ((0.0005)^(1/0.714)/(9.8*(1.006-1))/(13.88*(0.00102)^(0.6)))^(1/1.6).

FAQ

What is Diameter of Particle given Settling Velocity within Transition Zone?
The Diameter of Particle given Settling Velocity within Transition Zone formula is defined as the calculation of diameter of particle when we have prior information of settling velocity in transition zone and is represented as Dp = ((Vs')^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6) or Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6). Settling Velocity in Transition Zone is the rate at which a particle falls through a fluid under the influence of gravity in transition zone, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water & The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
How to calculate Diameter of Particle given Settling Velocity within Transition Zone?
The Diameter of Particle given Settling Velocity within Transition Zone formula is defined as the calculation of diameter of particle when we have prior information of settling velocity in transition zone is calculated using Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6). To calculate Diameter of Particle given Settling Velocity within Transition Zone, you need Settling Velocity in Transition Zone (Vs'), Acceleration due to Gravity (g), Specific Gravity of Sediment (G) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Settling Velocity in Transition Zone, Acceleration due to Gravity, Specific Gravity of Sediment & Kinematic Viscosity 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 Particle?
In this formula, Diameter of Particle uses Settling Velocity in Transition Zone, Acceleration due to Gravity, Specific Gravity of Sediment & Kinematic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity)))
  • Diameter of Particle = (Reynolds Number of Particle*Kinematic Viscosity)/Settling Velocity
  • Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2
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