Battery knowledge · Thermal management and heat transfer

Adiabatic and isothermal conditions

Two idealised thermal boundaries used in testing. Adiabatic means no heat escapes, so every joule raises the sample’s temperature — the principle of accelerating rate calorimetry and the worst case for a pack whose cooling fails. Isothermal means the sample is held at constant temperature while the heat it releases is measured, as in isothermal calorimetry.

Also called
adiabatic, isothermal

Example

Heat approaches an equilibrium

Steady rise: 10 K. Time constant: 8.333 min.

C_th = 500 J/K, fixed ambient and heat input, uniform temperature.

Explore the graph

Thermal resistance sets the steady temperature rise; thermal mass sets the response time.

Temperature above ambient
Temperature above ambientTime (min) versus Temperature rise (K). Lumped response. Interpretation follows the graphs.001515303045456060Time (min)Temperature rise (K)
Lumped response

Steady rise: 10 K. Time constant: 8.333 min.

ΔT = P R_th [1 − exp(−t / (C_th R_th))]

Illustrative model. C_th = 500 J/K, fixed ambient and heat input, uniform temperature.

Use in Lemonergy

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This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. A General Energy Balance for Battery Systems

    Dawn Bernardi, Ellen Pawlikowski, John Newman · Journal of The Electrochemical Society · 1985

    Topic background · Battery energy balance and irreversible and reversible heat contributions. Reduced thermal models require explicit assumptions and current-sign conventions.

  2. University Physics Volume 2, §1.6: Mechanisms of Heat Transfer

    OpenStax, Rice University

    Topic background · Conduction, convection, radiation and thermal resistance.