Diameter given Settling Velocity with respect to Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
D = sqrt(18*vs*μviscosity/[g]*(ρ-ρliquid))
This formula uses 1 Constants, 1 Functions, 5 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mass Density: 50 Kilogram per Cubic Meter --> 50 Kilogram per Cubic Meter No Conversion Required
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = sqrt(18*vsviscosity/[g]*(ρ-ρliquid)) --> sqrt(18*1.5*1.02/[g]*(50-49))
Evaluating ... ...
D = 1.67579785491604
STEP 3: Convert Result to Output's Unit
1.67579785491604 Meter --> No Conversion Required
FINAL ANSWER
1.67579785491604 1.675798 Meter <-- Diameter
(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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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 Settling Velocity with respect to Dynamic Viscosity Formula

Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
D = sqrt(18*vs*μviscosity/[g]*(ρ-ρliquid))

What is Stokes law?

Stokes law is the basis of the falling-sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

How to Calculate Diameter given Settling Velocity with respect to Dynamic Viscosity?

Diameter given Settling Velocity with respect to Dynamic Viscosity calculator uses Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density)) to calculate the Diameter, The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities. Diameter is denoted by D symbol.

How to calculate Diameter given Settling Velocity with respect to Dynamic Viscosity using this online calculator? To use this online calculator for Diameter given Settling Velocity with respect to Dynamic Viscosity, enter Settling Velocity (vs), Dynamic Viscosity viscosity), Mass Density (ρ) & Liquid Density liquid) and hit the calculate button. Here is how the Diameter given Settling Velocity with respect to Dynamic Viscosity calculation can be explained with given input values -> 51.59716 = sqrt(18*1.5*1.02/[g]*(50-49)).

FAQ

What is Diameter given Settling Velocity with respect to Dynamic Viscosity?
The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities and is represented as D = sqrt(18*vsviscosity/[g]*(ρ-ρliquid)) or Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density)). Settling velocity is defined as the terminal velocity of a particle in still fluid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, The Mass Density of a substance is its mass per unit volume & Liquid Density is mass per unit volume of the liquid.
How to calculate Diameter given Settling Velocity with respect to Dynamic Viscosity?
The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities is calculated using Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density)). To calculate Diameter given Settling Velocity with respect to Dynamic Viscosity, you need Settling Velocity (vs), Dynamic Viscosity viscosity), Mass Density (ρ) & Liquid Density liquid). With our tool, you need to enter the respective value for Settling Velocity, Dynamic Viscosity, Mass Density & Liquid Density 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, Dynamic Viscosity, Mass Density & Liquid Density. 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(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
  • 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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