| A | area (m2) | Greek symbols | |
| cp | specific heat transfer (J/kg.K) | ϑ | kinematic viscosity (m2/s) |
| f | friction coefficient | μ | dynamic viscosity (kg/ms) |
| f0 | friction coefficient of plain channel | ρ | density (kg/m3) |
| F | body force (N) | ϕ | nanofluid concentration |
| g | gravitational acceleration (m/s2) | θ | dimensionless temperature |
| h | heat transfer coefficient (W/m2K) | Subscripts | |
| k | thermal conductivity (W/mK) | ave | average |
| n | number of phases | b | bulk |
| p | pressure (Pa) | m | mixture |
| q″ | heat flux (w/m2) | f | fluid |
| Re | Reynolds number | i | inner tube |
| T | temperature (K) | o | outer tube |
| V | velocity vector (m/s) | nf | nanofluid |
| Vdr | drift velocity | Abbreviations | |
| Vf | fluid velocity | Co-STT | co-swirling twisted tapes |
| Vp | particle velocity | Counter-STT | counter-swirling twisted tapes |
| PHE | plain heat exchanger | ||
| IT | inner tube | ||
| OT | outer tube |