Diameter of Particle given Settling Velocity for Turbulent Settling Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2
Dp = (Vst/(1.8*sqrt(g*(G-1))))^2
This formula uses 1 Functions, 4 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
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 for Turbulent Settling - (Measured in Meter per Second) - Settling Velocity for Turbulent Settling is the rate at which a particle falls through a fluid under the influence of gravity in conditions where the fluid flow around the particle is turbulent.
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.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity for Turbulent Settling: 0.0436 Meter per Second --> 0.0436 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dp = (Vst/(1.8*sqrt(g*(G-1))))^2 --> (0.0436/(1.8*sqrt(9.8*(1.006-1))))^2
Evaluating ... ...
Dp = 0.00997816410514822
STEP 3: Convert Result to Output's Unit
0.00997816410514822 Meter --> No Conversion Required
FINAL ANSWER
0.00997816410514822 0.009978 Meter <-- Diameter of Particle
(Calculation completed in 00.020 seconds)

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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 for Turbulent Settling Formula

​LaTeX ​Go
Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2
Dp = (Vst/(1.8*sqrt(g*(G-1))))^2

What is Settling Velocity?

The settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid.

How to Calculate Diameter of Particle given Settling Velocity for Turbulent Settling?

Diameter of Particle given Settling Velocity for Turbulent Settling calculator uses Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2 to calculate the Diameter of Particle, The Diameter of Particle given Settling Velocity for Turbulent Settling formula is defined as the calculation of diameter of particle when we have prior information of settling velocity for turbulent settling. Diameter of Particle is denoted by Dp symbol.

How to calculate Diameter of Particle given Settling Velocity for Turbulent Settling using this online calculator? To use this online calculator for Diameter of Particle given Settling Velocity for Turbulent Settling, enter Settling Velocity for Turbulent Settling (Vst), Acceleration due to Gravity (g) & Specific Gravity of Sediment (G) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity for Turbulent Settling calculation can be explained with given input values -> 0.009978 = (0.0436/(1.8*sqrt(9.8*(1.006-1))))^2.

FAQ

What is Diameter of Particle given Settling Velocity for Turbulent Settling?
The Diameter of Particle given Settling Velocity for Turbulent Settling formula is defined as the calculation of diameter of particle when we have prior information of settling velocity for turbulent settling and is represented as Dp = (Vst/(1.8*sqrt(g*(G-1))))^2 or Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2. Settling Velocity for Turbulent Settling is the rate at which a particle falls through a fluid under the influence of gravity in conditions where the fluid flow around the particle is turbulent, 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.
How to calculate Diameter of Particle given Settling Velocity for Turbulent Settling?
The Diameter of Particle given Settling Velocity for Turbulent Settling formula is defined as the calculation of diameter of particle when we have prior information of settling velocity for turbulent settling is calculated using Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2. To calculate Diameter of Particle given Settling Velocity for Turbulent Settling, you need Settling Velocity for Turbulent Settling (Vst), Acceleration due to Gravity (g) & Specific Gravity of Sediment (G). With our tool, you need to enter the respective value for Settling Velocity for Turbulent Settling, Acceleration due to Gravity & Specific Gravity of Sediment 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 for Turbulent Settling, Acceleration due to Gravity & Specific Gravity of Sediment. 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 in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
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