Diameter of Particle given Reynold Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity
D = (Re*ν)/vs
This formula uses 4 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.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5000 --> No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (Re*ν)/vs --> (5000*0.000725)/1.5
Evaluating ... ...
D = 2.41666666666667
STEP 3: Convert Result to Output's Unit
2.41666666666667 Meter --> No Conversion Required
FINAL ANSWER
2.41666666666667 2.416667 Meter <-- Diameter
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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 Reynold Number Formula

Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity
D = (Re*ν)/vs

What is diameter ?

A diameter is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter. That is, it divides it into two equal parts, each of which is a radius of the circle. The radius is half the diameter.

How to Calculate Diameter of Particle given Reynold Number?

Diameter of Particle given Reynold Number calculator uses Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity to calculate the Diameter, Diameter of Particle given Reynold Number is chord that runs through center point of particle. Diameter is denoted by D symbol.

How to calculate Diameter of Particle given Reynold Number using this online calculator? To use this online calculator for Diameter of Particle given Reynold Number, enter Reynolds Number (Re), Kinematic Viscosity (ν) & Settling Velocity (vs) and hit the calculate button. Here is how the Diameter of Particle given Reynold Number calculation can be explained with given input values -> 2.416667 = (5000*0.000725)/1.5.

FAQ

What is Diameter of Particle given Reynold Number?
Diameter of Particle given Reynold Number is chord that runs through center point of particle and is represented as D = (Re*ν)/vs or Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity. The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid & Settling velocity is defined as the terminal velocity of a particle in still fluid.
How to calculate Diameter of Particle given Reynold Number?
Diameter of Particle given Reynold Number is chord that runs through center point of particle is calculated using Diameter = (Reynolds Number*Kinematic Viscosity)/Settling Velocity. To calculate Diameter of Particle given Reynold Number, you need Reynolds Number (Re), Kinematic Viscosity (ν) & Settling Velocity (vs). With our tool, you need to enter the respective value for Reynolds Number, Kinematic Viscosity & Settling Velocity 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 Reynolds Number, Kinematic Viscosity & Settling Velocity. 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 = ((Settling Velocity)^(1/0.714)/(Acceleration due to Gravity*(Specific gravity of sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
  • 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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