Coefficient of Drag given Settling Velocity of Spherical Particle Calculator

✖Unit weight of particle is defined as weight per unit volume of the particle.ⓘ Unit weight of particle [γ_s]			+10% -10%
✖Unit Weight of Water is the ratio of total weight to the total volume of water.ⓘ Unit Weight of Water [γ_w]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%

✖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.ⓘ Coefficient of Drag given Settling Velocity of Spherical Particle [C_D]

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Formula

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Coefficient of Drag given Settling Velocity of Spherical Particle

Formula

`"C"_{"D"} = ((4/3)*("γ"_{"s"}-"γ"_{"w"})*"D")/("ρ"_{"water"}*("v"_{"s"})^2)`

Example

`"1.125926"=((4/3)*("10kN/m³"-"9810N/m³")*"10m")/("1000kg/m³"*("1.5m/s")^2)`

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Coefficient of Drag given Settling Velocity of Spherical Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2)
C_D = ((4/3)*(γ_s-γ_w)*D)/(ρ_water*(v_s)^2)
This formula uses 6 Variables

Variables Used

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.
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 - (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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
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

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: 10 Meter --> 10 Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_D = ((4/3)*(γ_s-γ_w)*D)/(ρ_water*(v_s)^2) --> ((4/3)*(10000-9810)*10)/(1000*(1.5)^2)

Evaluating ... ...

C_D = 1.12592592592593

STEP 3: Convert Result to Output's Unit

1.12592592592593 --> No Conversion Required

FINAL ANSWER

1.12592592592593 ≈ 1.125926 <-- Coefficient of Drag

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Theory of Type -1 Settling » Coefficient of Drag » Coefficient of Drag given Settling Velocity of Spherical Particle

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< 5 Coefficient of Drag Calculators

Coefficient of Drag given Settling Velocity of Spherical Particle

Go Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2)

Coefficient of Drag given Drag Force Offered by Fluid

Go Coefficient of Drag = Drag Force/(Area*Water Density*((Velocity of fall)^2)/2)

Coefficient of Drag for Transition Settling

Go Coefficient of Drag = (24/Reynolds Number)+(3/(Reynolds Number)^0.5)+0.34

Coefficient of Drag for Transition Settling given Reynold Number

Go Coefficient of Drag = (18.5/(Reynolds Number)^0.6)

Coefficient of Drag given Reynold Number

Go Coefficient of Drag = 24/Reynolds Number

Coefficient of Drag given Settling Velocity of Spherical Particle Formula

Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2)
C_D = ((4/3)*(γ_s-γ_w)*D)/(ρ_water*(v_s)^2)

What is drag coefficient ?

Th drag coefficient is a dimension less quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the drag equation in which a lower drag coefficient indicates the object will have less aerodynamic or hydrodynamic drag.

How to Calculate Coefficient of Drag given Settling Velocity of Spherical Particle?

Coefficient of Drag given Settling Velocity of Spherical Particle calculator uses Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2) to calculate the Coefficient of Drag, The Coefficient of Drag given Settling Velocity of Spherical Particle is a dimension less quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. Coefficient of Drag is denoted by C_D symbol.

How to calculate Coefficient of Drag given Settling Velocity of Spherical Particle using this online calculator? To use this online calculator for Coefficient of Drag given Settling Velocity of Spherical Particle, enter Unit weight of particle (γ_s), Unit Weight of Water (γ_w), Diameter (D), Water Density (ρ_water) & Settling Velocity (v_s) and hit the calculate button. Here is how the Coefficient of Drag given Settling Velocity of Spherical Particle calculation can be explained with given input values -> 1.125926 = ((4/3)*(10000-9810)*10)/(1000*(1.5)^2).

FAQ

What is Coefficient of Drag given Settling Velocity of Spherical Particle?

The Coefficient of Drag given Settling Velocity of Spherical Particle is a dimension less quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water and is represented as C_D = ((4/3)*(γ_s-γ_w)*D)/(ρ_water*(v_s)^2) or Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2). 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 is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, Water Density is mass per unit of water & Settling velocity is defined as the terminal velocity of a particle in still fluid.

How to calculate Coefficient of Drag given Settling Velocity of Spherical Particle?

The Coefficient of Drag given Settling Velocity of Spherical Particle is a dimension less quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water is calculated using Coefficient of Drag = ((4/3)*(Unit weight of particle-Unit Weight of Water)*Diameter)/(Water Density*(Settling Velocity)^2). To calculate Coefficient of Drag given Settling Velocity of Spherical Particle, you need Unit weight of particle (γ_s), Unit Weight of Water (γ_w), Diameter (D), Water Density (ρ_water) & Settling Velocity (v_s). With our tool, you need to enter the respective value for Unit weight of particle, Unit Weight of Water, Diameter, Water Density & 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 Coefficient of Drag?

In this formula, Coefficient of Drag uses Unit weight of particle, Unit Weight of Water, Diameter, Water Density & Settling Velocity. We can use 4 other way(s) to calculate the same, which is/are as follows -

Coefficient of Drag = Drag Force/(Area*Water Density*((Velocity of fall)^2)/2)
Coefficient of Drag = 24/Reynolds Number
Coefficient of Drag = (24/Reynolds Number)+(3/(Reynolds Number)^0.5)+0.34
Coefficient of Drag = (18.5/(Reynolds Number)^0.6)

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