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# Sabri Ergun: Wikis

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# Encyclopedia

Updated live from Wikipedia, last check: May 20, 2013 22:04 UTC (45 seconds ago)
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The Ergun equation, derived by the Turkish chemical engineer Sabri Ergun in 1952, expresses the friction factor in a packed column as a function of the Reynolds number:

$f_p = \frac {150}{Re_p} + 1.75$

where fp and Rep are defined as

$f_p = \frac{\Delta p}{L} \frac{D_p}{\rho V_s^2} (\frac{\epsilon^3}{1-\epsilon})$ and $Re_p = \frac{D_p V_s \rho}{(1-\epsilon)\mu}$

where: Δp is the pressure drop across the bed,
L is the length of the bed (not the column),
Dp is the equivalent spherical diameter of the packing,
ρ is the density of fluid,
μ is the dynamic viscosity of the fluid,
Vs is the superficial velocity (i.e. the velocity that the fluid would have through the empty tube at the same volumetric flow rate), and
ε is the void fraction of the bed(Bed porosity at any time).

## References

Flow through packed beds

Sabri Ergun (1 March 1918 in Turkey - 18 February 2006) was a chemical engineer.

He is widely recognized for his enthusiasm and many contributions to the fields of chemical engineering and solid state physics.

## Ergun Equation

The Ergun Equation is a correlation derived by Ergun in 1952 for the friction factor in a packed column as a function of the Reynolds number:

$f_p = \frac \left\{150\right\}\left\{Re_p\right\} + 1.75$

where $f_p$ and $Re_p$ are defined as

$f_p = \frac\left\{\Delta p\right\}\left\{L\right\} \frac\left\{D_p\right\}\left\{\rho V_s^2\right\} \left(\frac\left\{\epsilon^3\right\}\left\{1-\epsilon\right\}\right)$ and $Re_p = \frac\left\{D_p V_s \rho\right\}\left\{\left(1-\epsilon\right)\mu\right\}$

where: $\Delta p$ is the pressure drop across the bed,
$L$ is the length of the bed (not the column),
$D_p$ is the equivalent spherical diameter of the packing,
$\rho$ is the density of fluid,
$\mu$ is the dynamic viscosity of the fluid,
$V_s$ is the superficial velocity (i.e. the velocity that the fluid would have through the empty tube at the same volumetric flow rate), and
$\epsilon$ is the void fraction of the bed(Bed porosity at any time).