TABLE 1.
Parameters used for simulation.
Parameter | Physical interpretation | Value | Units | Reference | |
---|---|---|---|---|---|
X | Total length in horizontal direction | 10 | Mm | - | |
dx | X steps | 0.067 | Mm | - | |
Y | Total length in vertical direction | 5 (no flux base)/8 (PDMS base) | mm | - | |
dy | Y steps | 0.033 (no flux base)/0.053 (PDMS base) | mm | - | |
T | Total time | 1800 | sec | - | |
dt | Time step | 0.075 | sec | - | |
[O2]ambient | Oxygen partial pressure in percentage in ambient | 5/20.9 | % | - | |
Dsolution | Diffusion coefficient of oxygen in solution | 2.0 × 10–5 | cm2 s−1 | ||
DPDMS | Diffusion coefficient of oxygen in PDMS | 4.0 × 10–5 | cm2 s−1 | ||
Depoxy | Diffusion coefficient of oxygen in epoxy | 4.9 × 10–7 | cm2 s−1 | Chowdhury et al. (2016) | |
Dpolystyrene | Diffusion coefficient of oxygen in polystyrene | 1.7 × 10–7 | cm2 s−1 | Ghosal and Freeman (1994) | |
X_pdms | Thickness of the PDMS wall in x direction | 2 | mm | - | |
Y_pdms | Thickness of the PDMS base | 3 | mm | - | |
X_elec | length of the electrode | 7 (half)/14 (full) | mm | - | |
Y_E_pos | Position of the scavenging electrode from the base | 1–3 | mm | - | |
Boundary | Boundary conditions | ||||
Centre of well | Symmetric boundary condition | ||||
Air-solution interface | Dirichlet boundary condition (Fixed concentration boundary, [O2] = [O2]ambient) | ||||
Glass, polystyrene, epoxy interface | Neumann boundary condition (No flux boundary) | ||||
Electrode polarized to reduce oxygen | Dirichlet boundary condition (Fixed concentration boundary, [O2] = 0) |