Conduction of Heat in Solids

a²v Appendix axis Bessel functions boundary conditions coefficients conduction of heat consider constant temperature contour contour integral corresponding cosh curves differential equation discussed equation of conduction erfc erfx flow of heat flux follows Fourier series given gives Green's function Initial temperature f(x integral integrand Inversion Theorem isothermal Jo(ran K₁ K₂ Laplace transformation Laplace transformation method linear flow mathematical medium at zero obtained odd function Phil Phys plane poles positive roots problem Proc radiation into medium radius region bounded region x satisfies semi-infinite solid sinh slab solution solved sphere steady temperature subsidiary equation suppose term thermal conductivity ture unit area unit instantaneous v₁ v₂ values variable wire zero initial temperature zero surface temperature zero temperature απ ηπα Υπ ди дх ппх მა