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Heat conduction through a slab calculator

Engineering calculators (Beta)

Find steady heat flow through a slab from thickness, area and temperature difference.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

Q̇ = k A ΔT / d, R = d / (k A)

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

厚さ・面積・温度差から定常の熱流量を求めます。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 熱伝導率 k(入力例) (W/(m·K) / mW/(m·K) / W/(cm·K))
  • 伝熱面積 A (m² / cm² / mm²)
  • 厚さ d (mm / cm / m)
  • 両面の温度差 ΔT (K / °C difference / °F difference)

得られる結果

  • 熱流量 Q̇ (W)
  • 熱流束 q″ (W/m²)
  • 熱抵抗 R (K/W)

計算式の概要

Q̇ = k A ΔT / d, R = d / (k A)

均質な平板の一次元・定常熱伝導です。熱伝導率一定、接触熱抵抗・対流・放射・発熱は含みません。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Find steady heat flow through a slab from thickness, area and temperature difference.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Thermal conductivity k (example) (W/(m·K) / mW/(m·K) / W/(cm·K))
  • Heat transfer area A (m² / cm² / mm²)
  • Thickness d (mm / cm / m)
  • Face temperature difference ΔT (K / °C difference / °F difference)

Calculated results

  • Heat flow rate (W)
  • Heat flux (W/m²)
  • Thermal resistance (K/W)

Formula overview

Q̇ = k A ΔT / d, R = d / (k A)

One-dimensional steady conduction through a homogeneous slab with constant conductivity. Contact resistance, convection, radiation and internal heat generation are excluded.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

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