Lumped Capacitance T(t) Calculator

Transient temperature decay (Bi < 0.1)

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Lumped Capacitance T(t)

Transient temperature decay (Bi < 0.1)

$$T(t) = T_\infty + (T_i - T_\infty)\, e^{-t/\tau}$$τ = ρVCp/(hAs)

At $t=\tau$, object has covered ~63% of temperature change. Only valid when $Bi < 0.1$.

T_i (°C)

T_∞ (°C)

τ (s)

t (s)

All fields required; τ nonzero.

Temperature at time t

—°C

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