Archimedes Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)
Ar = ([g]*Lc^(3)*ρFluid*(ρB-ρFluid))/(μviscosity)^(2)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Archimedes Number - Archimedes Number (Ar), is a dimensionless number used to determine the motion of fluids due to density differences, named after the ancient Greek scientist and mathematician Archimedes.
Characteristic Length - (Measured in Meter) - A characteristic length is usually the volume of a system divided by its surface.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Density of Body - (Measured in Kilogram per Cubic Meter) - Density of Body is the physical quantity that expresses the relationship between its mass and its volume.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
STEP 1: Convert Input(s) to Base Unit
Characteristic Length: 9.9 Meter --> 9.9 Meter No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Density of Body: 15 Kilogram per Cubic Meter --> 15 Kilogram per Cubic Meter No Conversion Required
Dynamic Viscosity: 1.02 Pascal Second --> 1.02 Pascal Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ar = ([g]*Lc^(3)*ρFluid*(ρBFluid))/(μviscosity)^(2) --> ([g]*9.9^(3)*1.225*(15-1.225))/(1.02)^(2)
Evaluating ... ...
Ar = 154331.157008579
STEP 3: Convert Result to Output's Unit
154331.157008579 --> No Conversion Required
FINAL ANSWER
154331.157008579 154331.2 <-- Archimedes Number
(Calculation completed in 00.004 seconds)

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11 Dimensionless Numbers Calculators

Archimedes Number
Go Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)
Sommerfeld Number
Go Sommerfeld Number = ((Radius of Shaft/Radial Clearance)^(2))*(Absolute Viscosity*Speed of Rotating Shaft)/(Load per Unit of Area)
Reynolds Number
Go Reynolds Number = (Density of Liquid*Fluid Velocity*Pipe Diameter)/Dynamic Viscosity
Euler Number using Fluid Velocity
Go Euler Number = Fluid Velocity/(sqrt(Change in Pressure/Density of Fluid))
Weber Number
Go Weber Number = ((Density*(Velocity of Fluid^2)*Length)/Surface Tension)
Eckert Number
Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)
Grashof Number
Go Grashof Number = (Buoyant Force)/(Viscous Force)
Rayleigh Number
Go Rayleigh Number = Grashof Number*Prandtl Number
Mach Number
Go Mach Number = Speed of Object/Speed of Sound
Froude Number
Go Froude Number = Inertia Force/Gravity Force
Euler Number
Go Euler Number = Pressure Force/Inertia Force

Archimedes Number Formula

Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)
Ar = ([g]*Lc^(3)*ρFluid*(ρB-ρFluid))/(μviscosity)^(2)

What is Dimensionless Number?

Dimensionless numbers in many fields of engineering are collections of variables that provide order-of-magnitude estimates about the behavior of a system

How to Calculate Archimedes Number?

Archimedes Number calculator uses Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2) to calculate the Archimedes Number, Archimedes Number (Ar), is a dimensionless number used to determine the motion of fluids due to density differences, named after the ancient Greek scientist and mathematician Archimedes. Archimedes Number is denoted by Ar symbol.

How to calculate Archimedes Number using this online calculator? To use this online calculator for Archimedes Number, enter Characteristic Length (Lc), Density of Fluid Fluid), Density of Body B) & Dynamic Viscosity viscosity) and hit the calculate button. Here is how the Archimedes Number calculation can be explained with given input values -> 154331.2 = ([g]*9.9^(3)*1.225*(15-1.225))/(1.02)^(2).

FAQ

What is Archimedes Number?
Archimedes Number (Ar), is a dimensionless number used to determine the motion of fluids due to density differences, named after the ancient Greek scientist and mathematician Archimedes and is represented as Ar = ([g]*Lc^(3)*ρFluid*(ρBFluid))/(μviscosity)^(2) or Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2). A characteristic length is usually the volume of a system divided by its surface, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Density of Body is the physical quantity that expresses the relationship between its mass and its volume & Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
How to calculate Archimedes Number?
Archimedes Number (Ar), is a dimensionless number used to determine the motion of fluids due to density differences, named after the ancient Greek scientist and mathematician Archimedes is calculated using Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2). To calculate Archimedes Number, you need Characteristic Length (Lc), Density of Fluid Fluid), Density of Body B) & Dynamic Viscosity viscosity). With our tool, you need to enter the respective value for Characteristic Length, Density of Fluid, Density of Body & Dynamic Viscosity 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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