The waste is non-biodegradable or has a low BOD5/COD ratio (< ≈0.3) — refractory organics, heavy metals or inorganics that a biological process cannot metabolize.
The waste is toxic or bio-inhibitory to a biological process at the concentrations present, so biological treatment would fail or need extensive dilution/pretreatment first.
The flow is small, highly variable, or intermittent (batch) — a biological process needs a sustained, relatively steady food supply to maintain a healthy microbial population; a small or batch flow suits physical-chemical unit operations (equalization, precipitation, adsorption) better.
Very stringent or rapid start-up/shutdown requirements exist — physical-chemical processes respond immediately to changed conditions, unlike a biological process that needs an acclimation period.
Space is limited and detention times must be short — physical-chemical unit operations (coagulation, sedimentation, filtration) generally need much shorter residence times than biological treatment.