Contents of the Exact Analytical Conduction Toolbox
X00Y11B(x5)0 Steady 2D conduction in the infinite slab with zero temperature on one surface and piecewise temperature on the other surface
X00Y21B(x5)0 Steady 2D conduction in the infinite slab with zero temperature on one surface and piecewise heat flux on the other surface
X00Y33B00Gx5y5U1 Steady infinite two-dimensional slab with bulk velocity, piecewise heating, and convection heat loss at boundaries.
X11B00Y23B10 Steady 2D Conduction in Rectangle with homogeneous temperature on opposite boundaries, constant heat flux on one boundary, heat dissipation to zero temperature on other boundary
X22Y22Tx5y5 Rectangle with insulated boundaries and piecewise initial condition.
X33B00Y33B00T5 Rectangular plate with homogeneous convection boundary conditions and piecewise initial condition.
X33Y33Gx5y5F0T0 Rectangular plate with piecewise internal heating, out-of-plane heat loss, and homogeneous convection boundary conditions at the edges of the plate.