| A | effective area of the membrane, m2 |
| Am | cross-section area of the shim, m2 |
| C | specific heat capacity, J/kg·°C |
| d | heat conduction distance on the shim, m |
| E | rate of electrical energy input, kJ/s |
| ∆Hv | latent heat of evaporation, kJ/kg |
| J | permeate flux, L/m2·h |
| kf | conductivity of the feed, mS/cm |
| kp | conductivity of the permeate, mS/cm |
| Km | coefficient of thermal conductivity, W/m·K |
| ∆m | mass reduction in feed, kg |
| Qin | total heat transfer to the system, W |
| Qv | heat transfer across the VMD, W |
| R | rejection rate, % |
| SEC | specific energy consumption of the system, kWh/L |
| SEEC | specific electrical energy consumption, kWh/L |
| STEC | specific thermal energy consumption, kWh/L |
| t | operation time, h |
| ΔT | temperature difference of the distance, K |
| Tbf | bulk temperature of the feed, °C |
| Tmf | membrane surface temperature on feed side, °C |
| TE | thermal efficiency, % |
| TPC | temperature polarization coefficient |
| ρ | density of feed solution, kg/L |