Heat & Mass Transfer (polykin.transport.hmt)
Overview
This module implements heat transfer correlations for geometries commonly encountered in
chemical processes. Thanks to the heat and mass transfer analogy, convection correlations of
the form $ Nu = Nu(Re, Pr) $ can also be used for mass transfer involving the same geometry by
interpreting them as $ Sh = Sh(Re, Sc) $.
Dimensionless Numbers
| Dimensionless number |
Definition |
| Grashof, \(Gr\) |
$$ \frac{g \beta (T_s - T_b) L^3}{\nu ^ 2} $$ |
| Nusselt, \(Nu\) |
$$ \frac{h L}{k} $$ |
| Rayleigh, \(Ra\) |
$$ Gr Pr = \frac{g \beta (T_s - T_b) L^3}{\nu \alpha} $$ |
| Reynolds, \(Re\) |
$$ \frac{\rho v L}{\mu}=\frac{v L}{\nu} $$ |
| Prandtl, \(Pr\) |
$$ \frac{c_P \mu}{k} = \frac{\nu}{\alpha} $$ |
| Schmidt, \(Sc\) |
$$ \frac{\nu}{\mathscr{D}} $$ |
| Sherwood, \(Sh\) |
$$ \frac{k_c L}{\mathscr{D}} $$ |