Exact Analytical Conduction Toolbox (EXACT)

The Exact Analytical Conduction Toolbox is a collection of analytical heat transfer solutions.

The Exact Analytical Conduction Toolbox (EXACT) contains codes for obtaining high-precision values from analytical solutions. EXACT should be useful to engineers and scientists engaged in code verification, inverse problems, indirect measurements, and anyone with a need for precise numerical values obtained from verified algorithms in heat conduction/diffusion. The material available here (Matlab File Exchange) is limited to the problem statement and the computer codes, however the EXACT web site (exact.unl.edu) contains a larger collection of solutions each with information on verification, tables of numerical values, and plots.

Codes available here are organized by body shape, as summarized below, and by a numbering system. The numbering system identifies the coordinate system (X = Cartesian, R = radial-cylindrical, RS = radial-spherical) and identifies the type of boundary conditions present (1 = Dirichlet, 2 = Neumann, 3 = Robin/convection, 0 = no physical boundary). More information on the numbering system is available at http://exact.unl.edu/exact/home/number.php

A. Spheres
• 3 solutions

B. 1D Hollow Cylinder
• 14 solutions

C. Semi-Infinite Body
• 11 one-layer solutions
• 1 two-layer solution

D. 1D Flat Plate Body
• 22 one-layer solutions
• 2 two-layer solutions

E. 1D FIN
• 3 solutions

F. 1D and 2D Flat Plate and Cylinder, Steady
• 3 solutions