Conduction Calculators
Analyze steady-state heat conduction through various geometries. All calculations powered by Fortran for high-precision results.
Steady Heat Conduction in Plane Walls
Calculate heat transfer through single and multilayer plane walls. Includes thermal resistance network analysis and temperature profile visualization across wall layers.
Multilayered Cylinders & Spheres
Analyze heat conduction through multilayered cylindrical and spherical geometries. Compute radial temperature distribution and total heat transfer rate.
Critical Radius of Insulation
Determine the critical insulation radius for cylinders and spheres. Analyze the trade-off between conduction resistance and convection resistance.
Straight Rectangular Fins
Calculate fin efficiency, effectiveness, and total heat dissipation for straight rectangular fin geometries with various tip conditions.
Lumped System Analysis
Transient heat conduction using the lumped capacitance method. Compute Biot number, time constant, and cooling/heating curves for various geometries.
Transient Conduction 1D (Heisler)
One-term approximation for transient conduction in plane walls, long cylinders, and spheres. Interactive Heisler-style charts and temperature profiles.
Conduction with Heat Generation
Temperature distribution in plane walls, cylinders, and spheres with uniform internal heat generation. Compute Tmax, surface temperature, and safety margins.
About Heat Conduction
Heat conduction (or thermal conduction) is the transfer of thermal energy through a material without bulk motion. It is governed by Fourier's Law: q = -k × dT/dx, where k is the thermal conductivity, and dT/dx is the temperature gradient. Our calculators use the thermal resistance network method for composite walls and the analytical solutions for cylindrical and spherical geometries.
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