Drag Coefficient given Settling Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2)
CD = (4*[g]*DE*(ρp-ρliquid))/(3*ρliquid*vs^2)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Drag Coefficient - Drag Coefficient 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.
Effective Particle Diameter - (Measured in Meter) - The Effective Particle Diameter is the diameter of the particles in a granular sample for which 10 percent of the total grains are smaller and 90 percent larger on a weight basis.
Density of Particle - (Measured in Kilogram per Cubic Meter) - Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
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
Effective Particle Diameter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Density of Particle: 12 Gram per Cubic Millimeter --> 12000000 Kilogram per Cubic Meter (Check conversion here)
Liquid Density: 49 Kilogram per Cubic Meter --> 49 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
CD = (4*[g]*DE*(ρpliquid))/(3*ρliquid*vs^2) --> (4*[g]*0.01*(12000000-49))/(3*49*1.5^2)
Evaluating ... ...
CD = 14231.8149023915
STEP 3: Convert Result to Output's Unit
14231.8149023915 --> No Conversion Required
FINAL ANSWER
14231.8149023915 14231.81 <-- Drag Coefficient
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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5 Drag Coefficient Calculators

Drag Coefficient given Settling Velocity
Go Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2)
Drag Coefficient given Settling Velocity with respect to Specific Gravity
Go Drag Coefficient = 4*[g]*(Specific Gravity of Material-1)*Diameter/(3*Settling Velocity^2)
Drag Coefficient given Frictional Drag
Go Drag Coefficient = (2*Drag Force)/(Area*Liquid Density*Settling Velocity^2)
Drag Coefficient with respect to Reynold's Number
Go Drag Coefficient = (24/Reynolds Number)+(3/sqrt(Reynolds Number))+0.34
General form of Drag Coefficient
Go Drag Coefficient = 24/Reynolds Number

Drag Coefficient given Settling Velocity Formula

Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2)
CD = (4*[g]*DE*(ρp-ρliquid))/(3*ρliquid*vs^2)

What is settling velocity?

The Settling velocity is defined as the terminal velocity of a particle in still fluid. It gives the settling velocity for a spherical particle settling under the action of gravity under the condition that Re ≪ 1 and diameter ≫ mean free path.

How to Calculate Drag Coefficient given Settling Velocity?

Drag Coefficient given Settling Velocity calculator uses Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2) to calculate the Drag Coefficient, Drag Coefficient given Settling Velocity is dimension less quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water. Drag Coefficient is denoted by CD symbol.

How to calculate Drag Coefficient given Settling Velocity using this online calculator? To use this online calculator for Drag Coefficient given Settling Velocity, enter Effective Particle Diameter (DE), Density of Particle p), Liquid Density liquid) & Settling Velocity (vs) and hit the calculate button. Here is how the Drag Coefficient given Settling Velocity calculation can be explained with given input values -> 14231.81 = (4*[g]*0.01*(12000000-49))/(3*49*1.5^2).

FAQ

What is Drag Coefficient given Settling Velocity?
Drag Coefficient given Settling Velocity is dimension less quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water and is represented as CD = (4*[g]*DE*(ρpliquid))/(3*ρliquid*vs^2) or Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2). The Effective Particle Diameter is the diameter of the particles in a granular sample for which 10 percent of the total grains are smaller and 90 percent larger on a weight basis, Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3, Liquid Density is mass per unit volume of the liquid & Settling velocity is defined as the terminal velocity of a particle in still fluid.
How to calculate Drag Coefficient given Settling Velocity?
Drag Coefficient given Settling Velocity is dimension less quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water is calculated using Drag Coefficient = (4*[g]*Effective Particle Diameter*(Density of Particle-Liquid Density))/(3*Liquid Density*Settling Velocity^2). To calculate Drag Coefficient given Settling Velocity, you need Effective Particle Diameter (DE), Density of Particle p), Liquid Density liquid) & Settling Velocity (vs). With our tool, you need to enter the respective value for Effective Particle Diameter, Density of Particle, Liquid 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 Drag Coefficient?
In this formula, Drag Coefficient uses Effective Particle Diameter, Density of Particle, Liquid Density & Settling Velocity. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Drag Coefficient = (2*Drag Force)/(Area*Liquid Density*Settling Velocity^2)
  • Drag Coefficient = 4*[g]*(Specific Gravity of Material-1)*Diameter/(3*Settling Velocity^2)
  • Drag Coefficient = (24/Reynolds Number)+(3/sqrt(Reynolds Number))+0.34
  • Drag Coefficient = 24/Reynolds Number
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