Table 1 Symbols used in this study
From: Liquid-liquid reactions performed by cellular reactors
Symbol | Physical meaning | Clarification |
|---|---|---|
L1 | Liquid adsorbed by the cellular reactor | Usually an aqueous solution carrying catalytic components |
L2 | Liquid outside the cellular reactor | Usually an organic phase that carries the substrate |
S | Solid trusses supporting cellular reactor | Manufactured by 3D printing to support, attach and construct phase interfaces |
L | Length of a cell side (m) | Physical quantities that describe the size of a single cell |
D | Diameter of the cell truss (m) | Physical quantities describing cell truss dimensions |
D* | Characteristic diameters of cells | \({D}^{*}=D/L\), dimensionless number |
Axy | Contact area of phases x and y (m2) | x, y represent two phases in arbitrary contact |
σxy | Interfacial tension between the x and y phases (N/m) | |
ρ | density (g/cm3) | |
Δρxy | Difference in density between phases x and y (g/cm3) | |
n | Cell freedom, number of liquid-liquid interfaces | Dimensionless number |
N | Total degrees of freedom of the cellular reactor | The sum of degrees of freedom of each single cell, a dimensionless number |
g | Gravitational acceleration (m/s2) | |
θ | Contact angle (°) | |
λ | Equivalent wetting factor | A dimensionless measure of cell wetting area |
\({{{{{\rm{\varepsilon }}}}}}\) | Porosity | A dimensionless number that reflects the percentage of cells’ capacity for holding liquid |
\(s\) | wetted perimeter (m) | Perimeter of contact between solid and liquid |