Hartmann number
In today's article, we want to talk about Hartmann number and its importance in today's society. Hartmann number is a topic that has gained relevance in recent years, generating a debate worldwide. Its impact has been reflected in different aspects of daily life, from politics to popular culture. In this article, we will thoroughly explore Hartmann number and analyze its influence in different areas, as well as its evolution over time. In addition, we will address the implications that Hartmann number has on our society and our lives, highlighting its relevance and the need to understand it in its entirety. Don't miss this analysis that will undoubtedly give you a lot to talk about!
The Hartmann number (Ha) is the ratio of electromagnetic force to the viscous force, first introduced by Julius Hartmann (1881 – 1951) of Denmark.[1][2] It is frequently encountered in fluid flows through magnetic fields.[3] It is defined by:
where
- B is the magnetic field intensity
- L is the characteristic length scale
- σ is the electrical conductivity
- μ is the dynamic viscosity
See also
References
- ^ Moreau, René; Molokov, Sergei S. (2007). "Julius Hartmann and His Followers: A Review on the Properties of the Hartmann Layer". In Molokov, Sergei S.; Moreau, René; Moffatt, H. Keith (eds.). Magnetohydrodynamics: Historical Evolution and Trends. Fluid Mechanics and Its Applications. Vol. 80. Springer. pp. 155–156. doi:10.1007/978-1-4020-4833-3_9. ISBN 978-1-4020-4833-3.
- ^ Hunt, J.C.R.; Shercliff, J.A. (January 1971). "Magnetohydrodynamics at High Hartmann Number". Annual Review of Fluid Mechanics. 3: 37–62. Bibcode:1971AnRFM...3...37H. doi:10.1146/annurev.fl.03.010171.000345.
- ^ Cramer, Kenneth R.; Pai, Shih-i (1973). Magnetofluid Dynamics for Engineers and Applied Physicists. Scripta Publishing Company. ISBN 0-07-013425-1. LCCN 73009936.
Further reading
- Jackson, J.D. (1975). "Magnetohydrodynamics and Plasma Physics". Classical Electrodynamics (Second ed.). John Wiley & Sons. ISBN 0-471-43132-X. LCCN 75009962. Retrieved 2020-05-16. Hartmann number is indicated by letter M in analogy with Mach number for aerodynamics.