World Library  
Flag as Inappropriate
Email this Article

Morton number

Article Id: WHEBN0010138549
Reproduction Date:

Title: Morton number  
Author: World Heritage Encyclopedia
Language: English
Subject: Dimensionless quantity, Shields parameter, Galilei number, Brinkman number, Magnetic Prandtl number
Collection:
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Morton number

For Morton number in number theory, see Morton number (number theory).

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 or continuous phase, c. The Morton number is defined as

\mathrm{Mo} = \frac{g \mu_c^4 \, \Delta \rho}{\rho_c^2 \sigma^3},

where g is the acceleration of gravity, \mu_c is the viscosity of the surrounding fluid, \rho_c the density of the surrounding fluid, \Delta \rho the difference in density of the phases, and \sigma is the surface tension coefficient. For the case of a bubble with a negligible inner density the Morton number can be simplified to

\mathrm{Mo} = \frac{g\mu_c^4}{\rho_c \sigma^3}.

The Morton number can also be expressed by using a combination of the Weber number, Froude number and Reynolds number,

\mathrm{Mo} = \frac{\mathrm{We}^3}{\mathrm{Fr}\, \mathrm{Re}^4}.

The Froude number in the above expression is defined as

\mathrm{Fr} = \frac{V^2}{g d}

where V is a reference velocity and d is the equivalent diameter of the drop or bubble.

References

  • Clift, R.; Grace, J. R.; Weber, M. E. (1978). Bubbles Drops and Particles. New York: Academic Press.  
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.