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