Battery knowledge · Thermal management and heat transfer

Heat flux

The rate of heat flow through a surface per unit area. Dividing a cell’s heat by its cooled area gives the flux the cooling must carry: a 21700 cell shedding 5 W through its roughly 46 cm² side sees about 1 kW/m². Cooling only one face concentrates the flux and steepens the gradient inside. [1]

Abbreviation
q″
Unit
W/m²
Relationship
q″ = Q / A

Example

Compare equal heat across different areas

A 10 W heat flow spread uniformly across 0.02 m² has an average flux of 500 W/m². Concentrating the same heat into half the area doubles the average flux.

Explore the graph

Thermal conductivity scales heat flux for the same spatial temperature gradient.

Fourier conduction
Fourier conductionTemperature gradient (K/m) versus Heat flux (W/m²). Signed heat flux. Interpretation follows the graphs.-2,000-1,000-1,000-500001,0005002,0001,000Temperature gradient (K/m)Heat flux (W/m²)
Signed heat flux

A +100 K/m gradient gives -200 W/m². Through 0.01 m², that is -2 W in the positive coordinate direction.

q″ = −k dT/dx; heat rate = q″ × area

Illustrative model. One-dimensional, constant isotropic conductivity. Layered cells generally need direction-specific values and boundary conditions.

Use in Lemonergy

Select spatial detail for the question.

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

References & further reading

Technical references

  1. 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.

  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.