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Thermal Conductivity Heat-Flow Calculator — result sheet
Estimate steady one-dimensional conductive heat flow through a slab from conductivity, area, thickness, and temperature difference.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Steady conductive heat flow Q̇ = kA(T_hot − T_cold)/L; slab resistance R_th = L/(kA); energy = Q̇ × time.
This page applies Fourier conduction to a uniform slab and displays both heat-flow rate and resistance. The temperature gradient and geometry stay visible so the answer is not confused with an equipment heat-loss rating.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Thermal conductivity — W/(m·K); minimum 1.0E-6; maximum 10000000
- Conduction area — m²; minimum 1.0E-6; maximum 1000000000
- Hot-side temperature — °C; minimum -273.149; maximum 10000000
- Cold-side temperature — °C; minimum -273.149; maximum 10000000
- Conduction thickness — m; minimum 1.0E-6; maximum 10000000
- Duration — hours; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Thermal conductivity | 0.6 |
| Conduction area | 2 |
| Hot-side temperature | 80 |
| Cold-side temperature | 20 |
| Conduction thickness | 0.1 |
| Duration | 8 |
The ideal slab conducts 720 W, has resistance 0.083333 K/W, and transfers 5.76 kWh in 8 hours.
Assumptions and limits
- The slab is uniform, isotropic, and at steady one-dimensional conduction.
- Conductivity is constant across the entered temperature interval.
- The hot-side temperature exceeds the cold-side temperature and the area is normal to the heat path.
- Convection, radiation, contact resistance, phase change, moisture, and edge losses are excluded.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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