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Heat Conduction Calculator

Calculate signed steady heat flow, heat flux and thermal resistance through a uniform plane wall.

Heat Conduction Calculator

Result800 W

Model and interpretation

Steady one-dimensional plane-wall conduction: Q̇ = kA(T₁−T₂)/L. Positive flow is from surface 1 to 2; a negative result indicates the reverse direction. Conductivity and dimensions must be positive and uniform. Convection, radiation and contact resistance are excluded; this is not code certification. 10⁻¹² ≤ k,A,L ≤ 10¹²; −273.15 ≤ T₁,T₂ ≤ 10¹² °C.

Q̇ (W)
800
q″ (W/m²)
80
R (K/W)
0.025
ΔT (K)
20

Method source: OpenStax University Physics Volume 2 — Mechanisms of Heat TransferReport a correction

What this calculator answers

Heat Conduction Calculator applies the registered method “Q̇ = kA(T₁−T₂)/L; q″ = Q̇/A; R = L/(kA)” to the displayed Thermal conductivity (W/(m·K)), Wall area (m²), Wall thickness (m), Surface 1 temperature (°C), Surface 2 temperature (°C) inputs. Both worked examples come from the production calculation engine, and OpenStax University Physics Volume 2 — Mechanisms of Heat Transfer defines the cited method or convention; no hidden inputs or current external data are inferred.

Variables, defaults, and limits

Thermal conductivity (W/(m·K))
Thermal conductivity (W/(m·K)) is a number input. The displayed starter value is 0.8; it is an example, not a hidden assumption.
Default: 0.8
Accepted values: Allowed range: 0.000000000001 to 1,000,000,000,000. Numeric entries must be finite and unambiguous.
Wall area (m²)
Wall area (m²) is a number input. The displayed starter value is 10; it is an example, not a hidden assumption.
Default: 10
Accepted values: Allowed range: 0.000000000001 to 1,000,000,000,000. Numeric entries must be finite and unambiguous.
Wall thickness (m)
Wall thickness (m) is a number input. The displayed starter value is 0.2; it is an example, not a hidden assumption.
Default: 0.2
Accepted values: Allowed range: 0.000000000001 to 1,000,000,000,000. Numeric entries must be finite and unambiguous.
Surface 1 temperature (°C)
Surface 1 temperature (°C) is a number input. The displayed starter value is 20; it is an example, not a hidden assumption.
Default: 20
Accepted values: Allowed range: -273.15 to 1,000,000,000,000. Numeric entries must be finite and unambiguous.
Surface 2 temperature (°C)
Surface 2 temperature (°C) is a number input. The displayed starter value is 0; it is an example, not a hidden assumption.
Default: 0
Accepted values: Allowed range: -273.15 to 1,000,000,000,000. Numeric entries must be finite and unambiguous.

Formula and calculation rule

R[heat-conduction-calculator]=Q̇ = kA(T₁−T₂)/L; q″ = Q̇/A; R = L/(kA); x₁=Thermal conductivity (W/(m·K)); x₂=Wall area (m²); x₃=Wall thickness (m); x₄=Surface 1 temperature (°C); x₅=Surface 2 temperature (°C)

Heat Conduction Calculator evaluates the registered expression “R[heat-conduction-calculator]=Q̇ = kA(T₁−T₂)/L; q″ = Q̇/A; R = L/(kA); x₁=Thermal conductivity (W/(m·K)); x₂=Wall area (m²); x₃=Wall thickness (m); x₄=Surface 1 temperature (°C); x₅=Surface 2 temperature (°C)” with the validated inputs. Full calculation precision is retained until the result is formatted for display.

Worked examples

Heat Conduction Calculator evaluated example 1

Use the page’s labelled starter inputs to verify Heat Conduction Calculator.

Inputs
  • Thermal conductivity (W/(m·K)): 0.8
  • Wall area (m²): 10
  • Wall thickness (m): 0.2
  • Surface 1 temperature (°C): 20
  • Surface 2 temperature (°C): 0

Evaluated result: 800 W

Heat Conduction Calculator evaluated example 2

Change one valid input or choice and evaluate Heat Conduction Calculator again to check that the result responds deterministically.

Inputs
  • Thermal conductivity (W/(m·K)): 0.8
  • Wall area (m²): 10
  • Wall thickness (m): 0.2
  • Surface 1 temperature (°C): 0
  • Surface 2 temperature (°C): 20

Evaluated result: -800 W

Assumptions

  • Heat Conduction Calculator uses the visitor-entered values exactly as labelled; it does not retrieve private records or current rates.
  • The calculation is limited to the declared relationship: R[heat-conduction-calculator]=Q̇ = kA(T₁−T₂)/L; q″ = Q̇/A; R = L/(kA); x₁=Thermal conductivity (W/(m·K)); x₂=Wall area (m²); x₃=Wall thickness (m); x₄=Surface 1 temperature (°C); x₅=Surface 2 temperature (°C).
  • Intermediate values are not rounded; display rounding is applied only at the presentation boundary.
  • The deterministic calculation runs locally and does not upload calculator inputs to the application API.
  • The model assumes the displayed units and idealized relationship; it is not a substitute for safety-critical design or professional measurement.

Validation and boundaries

  • Every visible required input must be present; a missing value is never replaced with zero.
  • NaN, positive or negative infinity, unsafe overflow, and a non-finite final result are rejected.
  • Field-specific minimums, maximums, and choices apply to Thermal conductivity (W/(m·K)), Wall area (m²), Wall thickness (m), Surface 1 temperature (°C), Surface 2 temperature (°C).
  • Unit consistency and the displayed idealized model are required; unsafe or physically unsupported values are rejected.

Review and correction links

Common mistakes

  • Confirm the meaning and unit of Thermal conductivity (W/(m·K)), Wall area (m²), Wall thickness (m), Surface 1 temperature (°C), Surface 2 temperature (°C) before calculating; a numerically valid value can still use the wrong convention.
  • Do not round intermediate values when checking the result, because early rounding can change the last displayed digits.
  • Changing an unstated real-world assumption does not change the calculator until the corresponding displayed input is changed.
  • Do not apply the idealized result to safety-critical hardware or structures without qualified review and measured tolerances.

Frequently asked questions

What question does Heat Conduction Calculator answer?
Calculate signed steady heat flow, heat flux and thermal resistance through a uniform plane wall. The implemented relationship is R[heat-conduction-calculator]=Q̇ = kA(T₁−T₂)/L; q″ = Q̇/A; R = L/(kA); x₁=Thermal conductivity (W/(m·K)); x₂=Wall area (m²); x₃=Wall thickness (m); x₄=Surface 1 temperature (°C); x₅=Surface 2 temperature (°C).
Which inputs does Heat Conduction Calculator use?
It uses the visible fields Thermal conductivity (W/(m·K)), Wall area (m²), Wall thickness (m), Surface 1 temperature (°C), Surface 2 temperature (°C). No hidden value is substituted for an omitted required input.
What happens when Heat Conduction Calculator receives an invalid or extreme value?
The page rejects missing, ambiguous, out-of-range, or non-finite values and refuses to display a non-finite result.
Why can Heat Conduction Calculator differ from another result?
Different unit conventions, endpoint policies, fee or rate assumptions, formula domains, and premature rounding can produce a different answer.
Can I use Heat Conduction Calculator as professional advice?
No. It is an educational model and is not certified engineering or safety analysis.
How can I verify the Heat Conduction Calculator result?
Recalculate the two evaluated examples without rounding intermediate values and compare the declared formula or convention with OpenStax University Physics Volume 2 — Mechanisms of Heat Transfer.

Source and review scope

OpenStax University Physics Volume 2 — Mechanisms of Heat Transfer

Scope: OpenStax University Physics Volume 2 — Mechanisms of Heat Transfer is used to check the formula, definition, or convention relevant to Heat Conduction Calculator. The citation does not supply current personal, lender, tax, medical, or market data.

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