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).