Settling Velocity given Specific Gravity of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)
vs = sqrt(((4/3)*g*(G-1)*Dp)/Cd)
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
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
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 density of sediment to density of standard substance.
Diameter of Partical - (Measured in Meter) - Diameter of Partical is a straight line passing from side to side through the center of a partical, especially a circle or sphere.
Coefficient of Drag - Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required
Diameter of Partical: 0.01 Meter --> 0.01 Meter No Conversion Required
Coefficient of Drag: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = sqrt(((4/3)*g*(G-1)*Dp)/Cd) --> sqrt(((4/3)*9.8*(1.3-1)*0.01)/0.1)
Evaluating ... ...
vs = 0.626099033699941
STEP 3: Convert Result to Output's Unit
0.626099033699941 Meter per Second --> No Conversion Required
FINAL ANSWER
0.626099033699941 0.626099 Meter per Second <-- Settling Velocity
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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9 Settling Velocity of Particle Calculators

Settling Velocity of Spherical Particle given Coefficient of Drag
Go Settling Velocity = sqrt(((4/3)*(Unit weight of particle-Unit Weight of Liquid)*Diameter of Partical)/(Water Density*Coefficient of Drag))
Settling Velocity given Specific Gravity of Particle
Go Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)
Settling Velocity with respect to Diameter of Particle
Go Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)
Settling Velocity of Spherical Particle
Go Settling Velocity = (Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*((Diameter of Partical)^2/Kinematic Viscosity)
Settling Velocity for Turbulent Settling
Go Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))
Settling Velocity for Modified Hazen's Equation
Go Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))
Settling Velocity of Spherical Particle given Reynold Number
Go Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
Settling Velocity for Organic Matter
Go Settling velocity for organic solids = 0.12*Diameter of Partical*((3*Temperature)+70)
Settling Velocity for Inorganic Solids
Go Settling velocity for inorganic solids = (Diameter of Partical*((3*Temperature)+70))

Settling Velocity given Specific Gravity of Particle Formula

Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)
vs = sqrt(((4/3)*g*(G-1)*Dp)/Cd)

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 Settling Velocity given Specific Gravity of Particle?

Settling Velocity given Specific Gravity of Particle calculator uses Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag) to calculate the Settling Velocity, Settling Velocity given Specific Gravity of Particle is defined as velocity reached by particle as it falls through fluid, dependent on its size and shape, and difference between its specific gravity and that of settling medium. Settling Velocity is denoted by vs symbol.

How to calculate Settling Velocity given Specific Gravity of Particle using this online calculator? To use this online calculator for Settling Velocity given Specific Gravity of Particle, enter Acceleration due to Gravity (g), Specific gravity of sediment (G), Diameter of Partical (Dp) & Coefficient of Drag (Cd) and hit the calculate button. Here is how the Settling Velocity given Specific Gravity of Particle calculation can be explained with given input values -> 0.626099 = sqrt(((4/3)*9.8*(1.3-1)*0.01)/0.1).

FAQ

What is Settling Velocity given Specific Gravity of Particle?
Settling Velocity given Specific Gravity of Particle is defined as velocity reached by particle as it falls through fluid, dependent on its size and shape, and difference between its specific gravity and that of settling medium and is represented as vs = sqrt(((4/3)*g*(G-1)*Dp)/Cd) or Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific gravity of sediment is the ratio of density of sediment to density of standard substance, Diameter of Partical is a straight line passing from side to side through the center of a partical, especially a circle or sphere & Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
How to calculate Settling Velocity given Specific Gravity of Particle?
Settling Velocity given Specific Gravity of Particle is defined as velocity reached by particle as it falls through fluid, dependent on its size and shape, and difference between its specific gravity and that of settling medium is calculated using Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag). To calculate Settling Velocity given Specific Gravity of Particle, you need Acceleration due to Gravity (g), Specific gravity of sediment (G), Diameter of Partical (Dp) & Coefficient of Drag (Cd). With our tool, you need to enter the respective value for Acceleration due to Gravity, Specific gravity of sediment, Diameter of Partical & Coefficient of Drag 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 Settling Velocity?
In this formula, Settling Velocity uses Acceleration due to Gravity, Specific gravity of sediment, Diameter of Partical & Coefficient of Drag. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Settling Velocity = (Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*((Diameter of Partical)^2/Kinematic Viscosity)
  • Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
  • Settling Velocity = sqrt(((4/3)*(Unit weight of particle-Unit Weight of Liquid)*Diameter of Partical)/(Water Density*Coefficient of Drag))
  • Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)
  • Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))
  • Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))
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