Advection

Advection = heat carried by a flowing fluid. It is Sensible heat per second: $Q = m C_p \Delta T \;\xrightarrow{\;\div t\;}\; \dot Q_{adv} = \dot m\, C_p\, \Delta T = \dot V \rho\, C_p\, \Delta T \quad [\text{W}]$

• $\dot V = A_{pipe}\, v = \pi r_i^2 v$ [m³/s]
• Volumetric heat capacity $\rho C_p$ [J/(m³K)] = heat to warm 1 m³ by 1 K. If given in J/(m³K), $\rho$ is already inside → don’t multiply by $\rho$ again

Related: Sensible heat, Thermal resistance