Battery knowledge · Thermal management and heat transfer
Thermal resistance
The temperature difference needed to drive one watt of heat along a path, in kelvin per watt. A 1 mm layer of gap filler at 3 W/(m·K) over 100 cm² has about 0.03 K/W, so 30 W through it costs 1 K. Resistances in series add like electrical ones, which is how cell-to-coolant paths are budgeted. [1]
- Unit
- K/W
- Relationship
- R_th = ΔT / Q = L / (k·A)
Example
Translate heat into a temperature difference
A 2 K/W thermal path carrying a steady 5 W heat flow has a 10 K temperature difference across it. The temperature at the cold boundary is needed to obtain an absolute hot-side temperature.
Explore the graph
Thermal resistance sets the steady temperature rise; thermal mass sets the response time.
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
Design protocol or analysis tool
Inspect pack temperature
The separate Charge session can include a lumped thermal node.
Equation or tool to use
- Charge session thermal node
Balances heat and exchange
Inputs & settings
- Ambient temperature
- Thermal mass (J/K)
- Conductance (W/K)
- Heater availability
This overview identifies the components to use. Follow the example in Lemonergy for their connections and settings.
- Provide thermal mass and conductance.
- Compare two ambient temperatures.
Example. 100 kJ/K thermal mass and 100 W/K conductance give a 1000 s no-source temperature-difference time constant.
Observe. Temperature limits can pause charge; heater and mass are separate.
One node does not resolve gradients, coolant geometry or runaway. Studio’s native charger instead uses external temperature.
Open Design → Charge session →References & further reading
Technical references
- University Physics Volume 2, §1.6: Mechanisms of Heat Transfer
OpenStax, Rice University
Technical reference · Conduction, convection, radiation and thermal resistance.
Further reading on this topic
These sources provide broader context; they are not presented as citations for every statement in this entry.
- 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.