Diameter given Specific Gravity of Particle and Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
D = sqrt(vs*ν*18/[g]*(G-1))
This formula uses 1 Constants, 1 Functions, 4 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 - (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.
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.
Specific gravity of particle - Specific gravity of particle is the ratio of density of particle to density of standard material.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Specific gravity of particle: 16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = sqrt(vs*ν*18/[g]*(G-1)) --> sqrt(1.5*0.000725*18/[g]*(16-1))
Evaluating ... ...
D = 0.173035884438935
STEP 3: Convert Result to Output's Unit
0.173035884438935 Meter --> No Conversion Required
FINAL ANSWER
0.173035884438935 0.173036 Meter <-- Diameter
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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13 Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity
Go Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))
Diameter for Settling Velocity with respect to Kinematic Viscosity
Go Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter given Settling Velocity in Fahrenheit
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
Diameter given Settling Velocity with respect to Dynamic Viscosity
Go Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
Diameter given Settling Velocity given Celsius
Go Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
Diameter given Displacement Velocity by Camp
Go Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
Diameter given temperature given Celsius for diameter greater than 0.1mm
Go Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
Diameter given Specific Gravity of Particle and Viscosity
Go Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
Diameter given temperature given Fahrenheit
Go Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
Diameter given Settling Velocity at 10 degree Celsius
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter of Particle given Settling Velocity with respect to Specific Gravity
Go Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
Diameter of Particle given Particle Reynold's Number
Go Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
Diameter of Particle given Volume of Particle
Go Diameter = (6*Volume of One Particle/pi)^(1/3)

Diameter given Specific Gravity of Particle and Viscosity Formula

Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
D = sqrt(vs*ν*18/[g]*(G-1))

What is kinematic viscosity ?

Kinematic viscosity is a measure of a fluid's internal resistance to flow under gravitational forces. It is determined by measuring the time in seconds, required for a fixed volume of fluid to flow a known distance by gravity through a capillary within a calibrated viscometer at a closely controlled temperature.

How to Calculate Diameter given Specific Gravity of Particle and Viscosity?

Diameter given Specific Gravity of Particle and Viscosity calculator uses Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1)) to calculate the Diameter, The Diameter given Specific Gravity of Particle and Viscosity formula is defined as largest chord of object, when it is dipped in fluid. Diameter is denoted by D symbol.

How to calculate Diameter given Specific Gravity of Particle and Viscosity using this online calculator? To use this online calculator for Diameter given Specific Gravity of Particle and Viscosity, enter Settling Velocity (vs), Kinematic Viscosity (ν) & Specific gravity of particle (G) and hit the calculate button. Here is how the Diameter given Specific Gravity of Particle and Viscosity calculation can be explained with given input values -> 0.173036 = sqrt(1.5*0.000725*18/[g]*(16-1)).

FAQ

What is Diameter given Specific Gravity of Particle and Viscosity?
The Diameter given Specific Gravity of Particle and Viscosity formula is defined as largest chord of object, when it is dipped in fluid and is represented as D = sqrt(vs*ν*18/[g]*(G-1)) or Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1)). Settling velocity is defined as the terminal velocity of a particle in still fluid, The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid & Specific gravity of particle is the ratio of density of particle to density of standard material.
How to calculate Diameter given Specific Gravity of Particle and Viscosity?
The Diameter given Specific Gravity of Particle and Viscosity formula is defined as largest chord of object, when it is dipped in fluid is calculated using Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1)). To calculate Diameter given Specific Gravity of Particle and Viscosity, you need Settling Velocity (vs), Kinematic Viscosity (ν) & Specific gravity of particle (G). With our tool, you need to enter the respective value for Settling Velocity, Kinematic Viscosity & Specific gravity of particle 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, Kinematic Viscosity & Specific gravity of particle. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diameter = (6*Volume of One Particle/pi)^(1/3)
  • Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
  • Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
  • Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
  • Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
  • Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
  • Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
  • Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
  • Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
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