Wall Heat Conduction

Compute conduction heat rate Q via Fourier's law from k, A, ΔT and thickness L.

Inputs

Formula

Q = k·A·ΔT/L
Multi-layer walls add thermal resistances in series.
conduction
Wall Heat Conduction schematic

Fundamentals

Compute conduction heat rate Q via Fourier's law from k, A, ΔT and thickness L.

This tool computes Wall Heat Conduction from the formula: Q = k·A·ΔT/L

History

Fluid mechanics and heat transfer were established in the 18th–19th centuries with steam engines and thermodynamics.

Engineering applications

Used for piping, heat-exchange and hydraulic system estimates.

Glossary

Conductivity kInput parameter
Area AInput parameter
Temp diff ΔTInput parameter
Heat rate QOutput result

How to use

  1. Fill in Conductivity k, Area A, Temp diff ΔT, Thickness L in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Heat rate Q in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:Q = k·A·ΔT/L

输入变量:

  • Conductivity k k — W/(m·K)
  • Area A A — m²
  • Temp diff ΔT dT — K
  • Thickness L L — m

输出结果:

  • Heat rate Q Q — W

假设/适用:Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.

Worked Example

根据公式 Q = k·A·ΔT/L,取 Conductivity k = 45 W/(m·K);Area A = 1 m²;Temp diff ΔT = 100 K;Thickness L = 0.02 m。

代入计算得:Heat rate Q = 225,000 W。

Key Points

  • Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.
  • Reynolds Re sets laminar/turbulent; friction f depends on regime & roughness.
  • Energy eqn includes elevation, pressure and velocity heads; keep units as length.

Parameters

Inputs

ParameterSymbolUnitDefault
Conductivity k (W/(m·K))kW/(m·K)45
Area A (m²)A1
Temp diff ΔT (K)dTK100
Thickness L (m)Lm0.02

Outputs

ResultSymbolUnit
Heat rate QQW

Applications

  • Pipe flow rate and pressure drop
  • Hydraulic cylinder force/speed design
  • Flow-meter selection and calibration

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: Q = k·A·ΔT/L
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Pipe flow rate and pressure drop