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What is Archimedes number mean?
In viscous fluid dynamics, the 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.
It is the ratio of gravitational forces to viscous forces and has the form:
A r = g L 3 ρ − ρ ℓ ρ ℓ ν 2 = g L 3 ρ ℓ ( ρ − ρ ℓ ) μ 2 {\displaystyle {\begin{aligned}\mathrm {Ar} &={\frac {gL^{3}{\frac {\rho -\rho _{\ell }}{\rho _{\ell }}}}{\nu ^{2}}}\\&={\frac {gL^{3}\rho _{\ell }(\rho -\rho _{\ell })}{\mu ^{2}}}\\\end{aligned}}}where:
g {\displaystyle g} is the local external field (for example gravitational acceleration), m/s2,referencePosted on 03 Oct 2024, this text provides information on Miscellaneous in Academic & Science related to Academic & Science. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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