The bar's temperature chases whatever it is exposed to by Newton's law of heating/cooling — an exponential approach that is the same equation whether the workpiece sits in the forge, on the anvil, or in a quench bath, only the target temperature and rate constant change:
dT/dt = k·(T_target − T)
forge: T_target = forge slider, k ≈ 0.35 /s
anvil: T_target = 20°C (air), k ≈ 0.05 /s
quench: T_target = 20°C (bath), k = medium severity (water > brine > oil > air)
Steel only deforms plastically above roughly 750°C — below that the hammer just bruises cold, brittle metal instead of shaping it, exactly like the 3D forge this page pairs with. Quenching decides the resulting hardness: the bar must be above ≈780°C (fully austenitic) for any hardening to occur at all, and then how fast the chosen medium pulls heat out sets how much martensite forms versus how much softer pearlite:
severity = quench rate constant / water's rate constant
martensite fraction = clamp((severity − 0.10) / 0.90, 0, 1)
hardness = 15 + fraction × (62 − 15) [HRC]
- Water / brine — fastest quench, most martensite, hardest but most brittle result.
- Oil — slower quench, partial hardening, a tougher compromise.
- Air — too slow to form martensite at all; this is normalizing, not hardening.
- Tempering — reheating a quenched (martensitic) bar to 150–650°C relieves internal stress and trades some hardness back for toughness; the higher the temper temperature, the more hardness is sacrificed.
Real-world relevance: this heat/forge/quench/temper sequence is exactly how a blacksmith or heat-treater controls the final hardness and toughness of a tool or blade — the same physics, whether it's a hand-forged knife or an industrial quench-and-temper line.