Heat Conduction Calculator

INPUT SUMMARY

Current calculation basis

Entered values: Thermal conductivity: 45 W/m·K · Heat-transfer area: 0.5 mm² · Temperature difference: 40 K · Conduction length: 0.01 m

Converted SI values: conductivity = 45 SI · area = 0.000001 SI · temperatureDifference = 40 SI · thickness = 0.01 SI

Engineering interpretation: Using the current inputs, calculate steady one-dimensional heat-transfer rate through a uniform plane wall. The current result is 0.09 W.

ENGINEERING PRINCIPLE

Fourier’s law gives conductive heat transfer from thermal conductivity, area, temperature difference and conduction length.

Calculate steady one-dimensional heat-transfer rate through a uniform plane wall.

FORMULA & VARIABLES

Q̇ = kAΔT / L

• Q̇ = heat-transfer rate (W)
• k = thermal conductivity (W/m·K)
• A = heat-transfer area (m²)
• ΔT = temperature difference (K)
• L = conduction length (m)

CALCULATION STEPS

How this result is assembled

1. Convert the entered values to the SI basis required by the formula.
2. Apply Q̇ = kAΔT / L to the converted values.
3. Report 0.09 W in the selected output presentation and review the stated assumptions.

FORMULA VERIFICATION

Units, scope and reference

Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.

Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.

Valid conditions: Positive finite scalar input values in the current calculator model.

Limitations: Steady one-dimensional conduction is assumed. Thermal conductivity is constant across the wall. Contact resistance and edge losses are excluded.

ASSUMPTIONS

Use this result in context

• Steady one-dimensional conduction is assumed.
• Thermal conductivity is constant across the wall.
• Contact resistance and edge losses are excluded.

Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.

RELATED CALCULATIONS

Keep exploring