The formula to calculate the design fuel consumption rate in a biomass furnace is:

\[ FCR_d = \frac{Q_r}{HVF \cdot \xi_t} \]

Where:

• \(FCR_d\) is the design fuel consumption rate in kilograms per hour (kg/hr).
• \(Q_r\) is the heat required for the system in KCal/hr.
• \(HVF\) is the heating value of fuel in KCal/kg.
• \(\xi_t\) is the thermal efficiency of the furnace (decimal).