Settling Velocity of Spherical Particle given Coefficient of Drag Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))
Vsc = sqrt(((4/3)*(γs-γw)*Dp)/(ρwater*CD))
This formula uses 1 Functions, 6 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 of Particle given Coeff of Drag - (Measured in Meter per Second) - Settling Velocity of Particle given Coeff of Drag is the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coefficient of drag.
Unit Weight of Particle - (Measured in Newton per Cubic Meter) - Unit Weight of Particle is defined as weight per unit volume of the particle.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the ratio of total weight to the total volume of water.
Diameter of Particle - (Measured in Meter) - Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.
Water Density - (Measured in Kilogram per Cubic Meter) - The Water Density refers to the measure of how much mass is contained in a given volume of water.
Coefficient of Drag - The 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
Unit Weight of Particle: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion ​here)
Unit Weight of Water: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Diameter of Particle: 0.01 Meter --> 0.01 Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Coefficient of Drag: 0.38 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vsc = sqrt(((4/3)*(γsw)*Dp)/(ρwater*CD)) --> sqrt(((4/3)*(10000-9810)*0.01)/(1000*0.38))
Evaluating ... ...
Vsc = 0.0816496580927726
STEP 3: Convert Result to Output's Unit
0.0816496580927726 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0816496580927726 0.08165 Meter per Second <-- Settling Velocity of Particle given Coeff of Drag
(Calculation completed in 00.004 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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Settling Velocity of Particle Calculators

Settling Velocity of Spherical Particle given Coefficient of Drag
​ LaTeX ​ Go Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))
Settling Velocity given Specific Gravity of Particle
​ LaTeX ​ Go Settling Velocity given Specific Gravity = sqrt(((4/3)*Acceleration due to Gravity*(Specific Gravity of Sediment-1)*Diameter of Particle)/Coefficient of Drag)
Settling Velocity of Spherical Particle
​ LaTeX ​ Go Settling Velocity of Spherical Particle = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity)
Settling Velocity of Spherical Particle given Reynold Number
​ LaTeX ​ Go Settling Velocity of Particle given Reynold Number = (Reynolds Number of Particle*Kinematic Viscosity)/Diameter of Particle

Settling Velocity of Spherical Particle given Coefficient of Drag Formula

​LaTeX ​Go
Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))
Vsc = sqrt(((4/3)*(γs-γw)*Dp)/(ρwater*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 of Spherical Particle given Coefficient of Drag?

Settling Velocity of Spherical Particle given Coefficient of Drag calculator uses Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag)) to calculate the Settling Velocity of Particle given Coeff of Drag, The Settling Velocity of Spherical Particle given Coefficient of Drag formula is defined as the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coeff. of drag. Settling Velocity of Particle given Coeff of Drag is denoted by Vsc symbol.

How to calculate Settling Velocity of Spherical Particle given Coefficient of Drag using this online calculator? To use this online calculator for Settling Velocity of Spherical Particle given Coefficient of Drag, enter Unit Weight of Particle s), Unit Weight of Water w), Diameter of Particle (Dp), Water Density water) & Coefficient of Drag (CD) and hit the calculate button. Here is how the Settling Velocity of Spherical Particle given Coefficient of Drag calculation can be explained with given input values -> 0.08165 = sqrt(((4/3)*(10000-9810)*0.01)/(1000*0.38)).

FAQ

What is Settling Velocity of Spherical Particle given Coefficient of Drag?
The Settling Velocity of Spherical Particle given Coefficient of Drag formula is defined as the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coeff. of drag and is represented as Vsc = sqrt(((4/3)*(γsw)*Dp)/(ρwater*CD)) or Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag)). Unit Weight of Particle is defined as weight per unit volume of the particle, Unit Weight of Water is the ratio of total weight to the total volume of water, Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample, The Water Density refers to the measure of how much mass is contained in a given volume of water & The 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 of Spherical Particle given Coefficient of Drag?
The Settling Velocity of Spherical Particle given Coefficient of Drag formula is defined as the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coeff. of drag is calculated using Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag)). To calculate Settling Velocity of Spherical Particle given Coefficient of Drag, you need Unit Weight of Particle s), Unit Weight of Water w), Diameter of Particle (Dp), Water Density water) & Coefficient of Drag (CD). With our tool, you need to enter the respective value for Unit Weight of Particle, Unit Weight of Water, Diameter of Particle, Water Density & Coefficient of Drag and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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