Diameter of Particle given Settling Velocity within Transition Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = ((Settling Velocity)^(1/0.714)/(Acceleration due to Gravity*(Specific gravity of sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
D = ((vs)^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6)
This formula uses 5 Variables
Variables Used
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
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 density of sediment to density of standard substance.
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: 1.5 Meter per Second --> 1.5 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: 1.3 --> No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = ((vs)^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6) --> ((1.5)^(1/0.714)/(9.8*(1.3-1))/(13.88*(0.000725)^(0.6)))^(1/1.6)
Evaluating ... ...
D = 2.11253667821717
STEP 3: Convert Result to Output's Unit
2.11253667821717 Meter --> No Conversion Required
FINAL ANSWER
2.11253667821717 2.112537 Meter <-- Diameter
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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6 Diameter of Particle Calculators

Diameter of Particle given Settling Velocity of Spherical Particle
Go Diameter = sqrt(Settling Velocity/((Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*(1/Kinematic Viscosity)))
Diameter of Particle given Settling Velocity within Transition Zone
Go Diameter = ((Settling Velocity)^(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
Go Diameter = (Settling Velocity/(1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1))))^2
Diameter of Particle given Settling Velocity for Modified Hazen's Equation
Go Diameter = (Settling Velocity/(60.6*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100)))
Diameter of Particle given Reynold Number
Go Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity
Diameter of Particle given Settling Velocity for Organic Matter
Go Diameter = (Settling velocity for organic solids/(0.12*((3*Temperature)+70)))

Diameter of Particle given Settling Velocity within Transition Zone Formula

Diameter = ((Settling Velocity)^(1/0.714)/(Acceleration due to Gravity*(Specific gravity of sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
D = ((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 = ((Settling Velocity)^(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, Diameter of Particle given Settling Velocity within Transition Zone calculates diameter of particle when we have prior information of other parameters. Diameter is denoted by D 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 (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 -> 2.112537 = ((1.5)^(1/0.714)/(9.8*(1.3-1))/(13.88*(0.000725)^(0.6)))^(1/1.6).

FAQ

What is Diameter of Particle given Settling Velocity within Transition Zone?
Diameter of Particle given Settling Velocity within Transition Zone calculates diameter of particle when we have prior information of other parameters and is represented as D = ((vs)^(1/0.714)/(g*(G-1))/(13.88*(ν)^(0.6)))^(1/1.6) or Diameter = ((Settling Velocity)^(1/0.714)/(Acceleration due to Gravity*(Specific gravity of sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6). Settling velocity is defined as the terminal velocity of a particle in still fluid, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific gravity of sediment is the ratio of density of sediment to density of standard substance & 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?
Diameter of Particle given Settling Velocity within Transition Zone calculates diameter of particle when we have prior information of other parameters is calculated using Diameter = ((Settling Velocity)^(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 (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, 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?
In this formula, Diameter uses Settling Velocity, Acceleration due to Gravity, Specific gravity of sediment & Kinematic Viscosity. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Diameter = sqrt(Settling Velocity/((Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*(1/Kinematic Viscosity)))
  • Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity
  • Diameter = (Settling Velocity/(1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1))))^2
  • Diameter = (Settling Velocity/(60.6*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100)))
  • Diameter = (Settling velocity for organic solids/(0.12*((3*Temperature)+70)))
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