Calculator · Thermal Engineering

Cylindrical-Wall Conduction

Steady radial heat transfer through a cylindrical shell using the frozen logarithmic resistance.

Inputs

Boundary order is geometric, not a forced hot-to-cold ordering. Positive Q̇ flows 1 → 2; negative Q̇ flows 2 → 1. Temperatures are in kelvin.

Results

Heat-transfer rate Q̇

13.597 kW

Boundary 1 → boundary 2

Equivalent thermal resistance0.0073545 K/W

Assumptions

  • · Steady 1D series path; constant conductivity in each layer.
  • · Perfect solid interfaces; no contact resistance or heat generation.
  • · Prescribed uniform convection coefficients; no correlation is inferred.
  • · Positive heat rate flows from boundary 1 toward boundary 2; a negative rate reverses the flow.

Explore in the Lab

Open in Heat Transfer Lab

The same ordered geometry and boundary temperatures travel to the Lab.

Technical reference

R = ln(rₒ/rᵢ)/(2πkL)

Q̇ = (Tᵢ − Tₒ)/R

R
thermal resistance[K/W]
Q̇
signed heat-transfer rate[W]
k
thermal conductivity[W/(m·K)]
h
prescribed convection coefficient[W/(m²·K)]

Steady heat transfer with constant material properties. No radiation, transient storage or inferred convection correlations.

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