Diameter given Settling Velocity given Celsius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*100)/(418*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*(3*Temperature in Centigrade+70)))
d = sqrt((vs*100)/(418*(Gs-Gw)*(3*t+70)))
This formula uses 1 Functions, 5 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 a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
Settling Velocity of Particles - (Measured in Meter per Second) - Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.
Specific Gravity of Spherical Particle - The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).
Specific Gravity of Fluid - Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C).
Temperature in Centigrade - (Measured in Kelvin) - Temperature in Centigrade is the degree of coolness or hotness of any substance. It should be entered in degree centigrade.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required
Specific Gravity of Spherical Particle: 2.7 --> No Conversion Required
Specific Gravity of Fluid: 1.001 --> No Conversion Required
Temperature in Centigrade: 36 Celsius --> 309.15 Kelvin (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((vs*100)/(418*(Gs-Gw)*(3*t+70))) --> sqrt((0.0016*100)/(418*(2.7-1.001)*(3*309.15+70)))
Evaluating ... ...
d = 0.000475258172477391
STEP 3: Convert Result to Output's Unit
0.000475258172477391 Meter --> No Conversion Required
FINAL ANSWER
0.000475258172477391 0.000475 Meter <-- Diameter of a Spherical Particle
(Calculation completed in 00.051 seconds)

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Diameter of Particle given Settling Velocity
​ LaTeX ​ Go Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of Particle given Settling Velocity with respect to Specific Gravity
​ LaTeX ​ Go Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
Diameter of Particle given Particle Reynold's Number
​ LaTeX ​ Go Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)
Diameter of Particle given Volume of Particle
​ LaTeX ​ Go Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)

Diameter given Settling Velocity given Celsius Formula

​LaTeX ​Go
Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*100)/(418*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*(3*Temperature in Centigrade+70)))
d = sqrt((vs*100)/(418*(Gs-Gw)*(3*t+70)))

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 given Settling Velocity given Celsius?

Diameter given Settling Velocity given Celsius calculator uses Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*100)/(418*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*(3*Temperature in Centigrade+70))) to calculate the Diameter of a Spherical Particle, The Diameter given Settling Velocity given Celsius formula is defined as the calculation of the diameter of a particle based on its settling velocity in water at a temperature in Celsius. Diameter of a Spherical Particle is denoted by d symbol.

How to calculate Diameter given Settling Velocity given Celsius using this online calculator? To use this online calculator for Diameter given Settling Velocity given Celsius, enter Settling Velocity of Particles (vs), Specific Gravity of Spherical Particle (Gs), Specific Gravity of Fluid (Gw) & Temperature in Centigrade (t) and hit the calculate button. Here is how the Diameter given Settling Velocity given Celsius calculation can be explained with given input values -> 0.000787 = sqrt((0.0016*100)/(418*(2.7-1.001)*(3*309.15+70))).

FAQ

What is Diameter given Settling Velocity given Celsius?
The Diameter given Settling Velocity given Celsius formula is defined as the calculation of the diameter of a particle based on its settling velocity in water at a temperature in Celsius and is represented as d = sqrt((vs*100)/(418*(Gs-Gw)*(3*t+70))) or Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*100)/(418*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*(3*Temperature in Centigrade+70))). Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity, The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C), Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C) & Temperature in Centigrade is the degree of coolness or hotness of any substance. It should be entered in degree centigrade.
How to calculate Diameter given Settling Velocity given Celsius?
The Diameter given Settling Velocity given Celsius formula is defined as the calculation of the diameter of a particle based on its settling velocity in water at a temperature in Celsius is calculated using Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*100)/(418*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*(3*Temperature in Centigrade+70))). To calculate Diameter given Settling Velocity given Celsius, you need Settling Velocity of Particles (vs), Specific Gravity of Spherical Particle (Gs), Specific Gravity of Fluid (Gw) & Temperature in Centigrade (t). With our tool, you need to enter the respective value for Settling Velocity of Particles, Specific Gravity of Spherical Particle, Specific Gravity of Fluid & Temperature in Centigrade 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 a Spherical Particle?
In this formula, Diameter of a Spherical Particle uses Settling Velocity of Particles, Specific Gravity of Spherical Particle, Specific Gravity of Fluid & Temperature in Centigrade. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)
  • Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
  • Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
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