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.
Composite Wall Conduction with Convection
Evaluate overall heat transfer coefficients ($U$-value) and thermal resistances for multi-layer walls under convective and radiative ambient environments. Evaluates condensation risks.
Variable Conductivity k = f(T)
Analyze steady heat conduction with variable thermal conductivity across plane walls, cylinders, and spheres using the Kirchhoff transformation.
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.
Annular (Circular) Fin Efficiency
Calculate efficiency and heat transfer for annular fins on tubes using exact Bessel function solutions. Includes radial temperature profile and material comparison.
Pin Fin & Spine Calculator
Calculate efficiency, effectiveness, and dissipation for cylindrical, conical, parabolic, and rectangular pin fins or spines under multiple boundary conditions.
Heat Sink & Fin Array Calculator
Evaluate plate fin and pin fin heat sinks. Calculate overall thermal resistance, base plate operating temperature, overall efficiency, optimal fin spacing, and pressure drop.
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.
Thermal Contact Resistance
Calculate microscale contact resistance and conductance using Mikic-Rohsenow and CMY correlations. Evaluate joint performance with and without TIM.
2D Conduction Shape Factors
Calculate conduction shape factors (S) and heat rates for 12+ configurations, including buried pipes, eccentric cylinders, wall edges, and floor heating arrays.
Semi-Infinite Solid Conduction
Calculate transient heat penetration, temperature profiles, and surface heat rates in semi-infinite media under constant temperature, heat flux, or convection boundary conditions.
Stefan Problem — Phase Change
Calculate interface position s(t), growth constant λ, phase change time for thickness d, multi-phase temperature profiles, and total energy released or absorbed.
2D Thermal Bridge Calculator (Pont Thermique)
Evaluate linear transmittance (ψ) and point transmittance (χ) for balcony slabs, corners, window frames, floors, and columns. Interactive 2D isothermal contours.
Multidimensional Transient Conduction
Calculate 2D and 3D transient temperature distributions using product solutions of standard 1D conduction geometries (cylinders and walls).
1D Transient Conduction Numerical Solver (FDM)
Solve transient 1D heat equation numerically using Explicit, Implicit BE, or Crank-Nicolson finite difference schemes. Supports temperature-dependent properties.
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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