Contents of the Exact Analytical Conduction Toolbox

Heat Equation, Cartesian, 1D Semi-infinite Body

X10B(3,J)T0 Power variation of surface temperature on semi-infinite body

X10B0T0G5 Semi-infinite Cartesian Body with a Zero Surface Temperature and Volumetric Heating

X10B1T0 Semi infinite Cartesian body with step change in boundary temperature

X20 Semi-Infinite Slab Insulated on the Boundary x=0 with an Impulsive Heat Source (Green's Function)

X20B(3,J)T0 Semi-infinite body with power law heat flux at x = 0

X20B-T0 Semi-infi nite body with piecewise-in-time exponential surface heat flux for a reciprocating plasma probe

X20B0T0G5 Semi-infinite Cartesian Body with an Insulated Surface and Volumetric Heating

X20B1T0 Semi infinite Cartesian body with jump in boundary heat flux

X20B4T0 Semi-infinite slab with exponential heat flux at x = 0

X2C10B(3,n)T0 Two-layer semi-infinite body with power-law varying surface heat flux

X30B(3,J)T0 Semi-infinite body heated by surface convection with power-law varying fluid temperature

X30B1T0 Semi infinite Cartesian body with jump in boundary ambient temperature

X40B(3,J)T0 Semi-infinite body with high-conductivity surface layer with power-law varying heat flux

X40B0T01 Semi-infinite Cartesian body in perfect contact with a thermally insulated high-conductivity surface layer having zero initial temperature

X40B0T10 Semi-infinite Cartesian body in perfect contact with a thermally insulated high-conductivity surface layer having different uniform initial temperatures

X40B1T00 Semi infinite Cartesian body with high-conductivity surface layer with jump in boundary heat flux

X60B1T00 Semi-infinite Cartesian body initially at zero temperature and in imperfect contact with a high-conductivity surface layer with zero initial temperature and subject to a jump in boundary heat flux