• Source: Laplace number

The Laplace number (La), also known as the Suratman number (Su), is a dimensionless number used in the characterization of free surface fluid dynamics. It represents a ratio of surface tension to the momentum-transport (especially dissipation) inside a fluid.
It is defined as follows:





L
a

=

S
u

=



σ
ρ
L


μ

2






{\displaystyle \mathrm {La} =\mathrm {Su} ={\frac {\sigma \rho L}{\mu ^{2}}}}


where:

σ = surface tension
ρ = density
L = length
μ = liquid viscosity
Laplace number is related to Reynolds number (Re) and Weber number (We) in the following way:





L
a

=




R
e


2



W
e





{\displaystyle \mathrm {La} ={\frac {\mathrm {Re} ^{2}}{\mathrm {We} }}}





See also


Ohnesorge number - There is an inverse relationship,




L
a

=


O
h


−
2




{\displaystyle \mathrm {La} =\mathrm {Oh} ^{-2}}

, between the Laplace number and the Ohnesorge number.




References

Kata Kunci Pencarian:

• Sayuri (musisi)
• Leonhard Euler
• Angka India
• Logaritma
• Sejarah matematika
• Deret Taylor
• Vladimir Arnold
• Hermann Weyl
• Teorema dasar aljabar
• Daftar tetapan matematis
• Laplace number
• Pierre-Simon Laplace
• Laplace transform
• Inverse Laplace transform
• Laplace's demon
• List of Laplace transforms
• Ohnesorge number
• Discrete Laplace operator
• Laplace's equation
• Laplace–Stieltjes transform