A method of brewing a fluid extract using a filter pouch containing flavor extractable particles. One step is supporting a fully compliant, fluid-permeable filter pouch partially filled with flavor extractable particles such that the pouch is inclined at an angle to horizontal ranging from about 30.degree. to about 90.degree. so that the particles accumulate at a bottom end of the filter pouch. Another step is directing brew water to near an upper end of the filter pouch above the particles. The brew water enters the filter pouch without the need for an opening in the pouch, and drops to infiltrate the particles. The particles are partially fluidized by and suspended in the brew water and they rise with the brew water into an empty portion of the filter pouch without a need for opposing sides of the filter pouch to separate to generate internal space. A further step includes brewing a fluid extract from the particles in the filter pouch and discharging the fluid extract from the filter pouch. The filter pouch has sufficient exit area that a fluid extract discharge rate matches a rate of brew water entry into the filter pouch when a fluid head is produced inside the filter pouch which is at least as great as a vertical depth of particles in the filter pouch.