Heat Transfer

Conduction — Cylinder

Fourier's Law for steady-state radial conduction through a hollow cylinder — computes heat transfer rate from geometry, temperature difference, and material conductivity.

Inputs

same unit as inner radius
same unit as inner temp

Results

Heat transfer rate (Q)

—

kilowatts

—

Thermal resistance (R)

—

K/W

Heat flux at inner wall

—

W/m²

—

Material reference table

Material ↕ k (W/m·K) ↓ k (BTU/hr·ft·°F) Q at inputs (kW)

Fourier's Law — Hollow Cylinder (Radial Conduction)

Q = 2π · k · L · ΔT / ln(ro / rᵢ)
Q = heat transfer rate (W) k = thermal conductivity (W/m·K) L = cylinder length (m) ΔT = Ti − To (K or °C) rᵢ = inner radius (m) ro = outer radius (m) R = ln(ro/rᵢ) / (2π·k·L) — thermal resistance (K/W)