Heat Gain Rate Formula

The heat gain rate is calculated as the product of the steam mass flow rate and the enthalpy difference between inlet steam (saturated vapor) and outlet condensate (saturated liquid). This represents the latent heat of condensation transferred to the water. This formula is used when the outlet water temperature is below the safe boiling point.

\begin{equation}\label{eq:water-heating-steam-heat-gain-rate} \dot{Q}_{gain} = (h_{s,in} - h_{s,out}) \cdot \dot{m}_{steam}\end{equation}

Symbols

\(\dot{Q}_{gain}\)	Heat gain rate \([\unit{ \kilo\joule\per\hour}]\)
\(h_{s,in}\)	Inlet steam specific enthalpy (saturated vapor) \([\unit{ \kilo\joule\per\kilogram}]\)
\(h_{s,out}\)	Outlet steam specific enthalpy (saturated liquid/condensate) \([\unit{ \kilo\joule\per\kilogram}]\)
\(\dot{m}_{steam}\)	Steam mass flow rate \([\unit{ \kilogram\per\hour}]\)