is the diffusion flux (the amount of solute moving through a unit area per unit time).
When you pour hot water into a ceramic, glass, or plastic dripper, heat energy is immediately transferred from the water to the brewing apparatus and the ambient air. Plastic drippers are excellent thermal insulators, meaning they absorb less heat from the water, maintaining a higher and more stable brewing temperature. Ceramic drippers have a high thermal mass; if not thoroughly preheated, they will rapidly drop the slurry temperature, leading to under-extraction. Selective Extraction
Finer grinds increase exposed surface area, speeding extraction; coarser grinds slow it. Uniform particle size gives even extraction; a wide distribution causes under- and over-extracted pockets. Burr grinders yield better control than blades. The Physics Of Filter Coffee Pdf
Darcy's Law determines the volumetric flow rate of water through the coffee bed:
When coffee is ground, it does not shatter into uniform pieces. Instead, it creates a bimodal distribution of particle sizes: is the diffusion flux (the amount of solute
: Pressure differential (driven by gravity and liquid height) (Mu) : Viscosity of the water (highly temperature-dependent) : Depth of the coffee bed Bed Permeability (
Grinding coffee does not produce uniform blocks; it yields a bimodal or multimodal distribution of particle sizes, categorized into fines and boulders. Ceramic drippers have a high thermal mass; if
Water moves through the bed of grounds driven by gravity and pressure. Darcy’s law (flow through porous media) approximates flow: flow rate ∝ pressure gradient × permeability / viscosity. Packing, grind size, and filter type change permeability and thus brew time and strength.
Pouring style (pulse pours, continuous spiral) creates differing degrees of turbulence and saturation uniformity. Mild turbulence improves even wetting and extraction; excessive agitation can speed extraction unevenly or cause channeling.