Hartmann Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Hartmann number, abbreviated as Ha, a dimensionless number, the ratio of electromagnetic force to the viscous.

 

Hartmann Number formula

\(\large{ Ma =  B \; l \; \sqrt{ \frac{ \sigma }{ \mu } }  }\)   

Where:

 Units English Metric
\(\large{ Ha }\) = Hartmann number \(\large{dimensionless}\)
\(\large{ l }\) = characteristic length \(\large{ft}\) \(\large{m}\)
\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity \(\large{\frac{lbf-sec}{ft^2}}\) \(\large{ Pa-s }\)
\(\large{ \sigma }\)  (Greek symbol sigma) = electrical conductivity - \(\large{\frac{S}{m}}\)
\(\large{ B }\) = magnetic field - \(\large{T}\)

 

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Tags: Fluid Equations