Stokes-Einstein Equation

Stokes-Einstein equation, abbreviated as SE, is used for evaluating diffusion of spherical particles through a liquid with low Reynolds numbers.

 

Stokes-Einstein Equation
\(\large{ D =  \frac{ k_b \; T }{ 6 \; \pi \; \mu \; r }   }\)
Symbol	English	Metric
\(\large{ D }\) = diffusion coefficient	\(\large{lbf}\)	\(\large{N}\)
\(\large{ k_b }\) = Boltzmann constant	\(\large{\frac{lbm-ft^2}{sec^2}}\)	\(\large{\frac{kJ}{molecule-K}}\)
\(\large{ \mu }\) (Greek symbol mu) = dynamic viscosity	\(\large{\frac{lbf-sec}{ft^2}}\)	\(\large{Pa-s}\)
\(\large{ \pi } \) = Pi	\(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius of spherical parcticle	\(\large{in}\)	\(\large{mm}\)
\(\large{ T }\) = temperature	\(\large{F}\)	\(\large{K}\)