Elasticity Number

on . Posted in Dimensionless Numbers

Tags: Strain and Stress

Elasticity number, abbreviated as El, a dimensionless number, is the ratio of elastic force to internal force in viscoelastic flow.

 

Elasticity Number formula

\(\large{ El = \frac{ t \; \eta }{ \rho \; r^2 }   }\)     (Elasticity Number)

\(\large{ t = \frac{ El \; \rho \; r^2 }{ \eta }   }\)

\(\large{ \eta = \frac{ El \; \rho \; r^2 }{ t }   }\)

\(\large{ \rho = \frac{ t \; \eta }{ El \; r^2 }   }\)

\(\large{ r =  \sqrt{  \frac{ t \; \eta }{ El \; \rho }  }   }\)

Symbol English Metric
\(\large{ El }\) = elasticity number \(\large{ dimensionless }\)
\(\large{ t }\) = relaxation time \(\large{ sec }\) \(\large{ s }\)
\(\large{ \eta }\)  (Greek symbol eta) = viscosity \(\large{\frac{lbf - sec}{ft^2}}\) \(\large{ Pa - s }\)
\(\large{ \rho }\)   (Greek symbol rho) = density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ r }\) = pipe radius \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Strain and Stress