Hartmann number

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:

\mathrm {Ha} =BL{\sqrt {\frac {\sigma }{\mu }}}

where

B is the magnetic field intensity
L is the characteristic length scale
σ is the electrical conductivity
μ is the dynamic viscosity

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.

Hartmann number

See also

References

Further reading

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