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where E is the extraction efficiency, C_f is the concentration of coffee solids in the fluid, C_s is the concentration of coffee solids in the coffee beans, t is the brewing time, and t_0 is the characteristic time for extraction.

E = (C_f / C_s) * (t / t_0)

The fluid dynamics of filter coffee brewing involve the flow of hot water through a bed of ground coffee beans. The water flows through the coffee due to gravity, and the flow rate is determined by the permeability of the coffee bed and the pressure drop across it. The permeability of the coffee bed is affected by the particle size and distribution of the coffee grounds, as well as the packing density of the bed. The Physics Of Filter Coffee Pdf -FREE- Free Download

Q = h * A * (T_s - T_f)