Morton number
From Wikipedia, the free encyclopedia
- For Morton number in number theory, see Morton number.
In fluid dynamics, the Morton number (Mo) is a dimensionless number used together with the Eötvös number to characterize the shape of bubbles or drops moving in a surrounding fluid. The Morton number is defined as
where g is the acceleration of gravity, μL is the viscosity of the surrounding fluid, ρL the density of the surrounding fluid, Δρ the difference in density of the phases, and σ is the surface tension coefficient. For the case of a bubble with a negligible inner density the Morton number can be simplified to
The Morton number can also be expressed by using a combination of the Weber number, Froude number and Reynolds number,
The Froude number in the above expression is defined as
where V is a reference velocity and d is the equivalent diameter of the drop or bubble.
[edit] References
R. Clift, J. R. Grace, and M. E. Weber, Bubbles Drops and Particles, Academic Press New York, 1979.
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