Thermodynamics

Thermal Resistance

Rth=LkAR_{th} = \frac{L}{kA}

Thermal analog of electrical resistance. ΔT = P × R_th.

Variables

R_th
Thermal resistance
Resistance to heat flow
K/W
L
Length
Thickness of material
m
k
Thermal conductivity
Material property
W/(m·K)
A
Cross-sectional area
Area of heat flow

Derivation

From P = kAΔT/L, define R_th = L/(kA) so ΔT = P·R_th. Resistances add in series.

Your notes

0/5000

Common questions

What is the Thermal Resistance formula?

Thermal Resistance is written Rₜₕ = L/kA. Thermal analog of electrical resistance. ΔT = P × R_th. It belongs to Thermodynamics, under Heat & Temperature.

What are the units in Rₜₕ = L/kA?

In SI units, R_th is thermal resistance, measured in s³·K/(kg·m²); L is length, measured in m; k is thermal conductivity, measured in kg·m/(s³·K); A is cross-sectional area, measured in m².

How is the Thermal Resistance formula derived?

From P = kAΔT/L, define R_th = L/(kA) so ΔT = P·R_th. Resistances add in series. The result is Rₜₕ = L/kA.