Single-Blow Transients in Packed-Bed Storage Units With Solid-Phase Conduction by Crump’s Numerical Inversion of Laplace Transforms

A robust and fast scheme for the numerical inversion of Laplace transforms, recently established by Crump, is applied to the linear problem of two-phase (solid-and-fluid) response of a packed-bed thermal storage unit during a single-blow operation, with solid conduction in the flow direction properly considered (while neglecting the conduction and energy storage in the fluid). The scheme is shown to be capable of handling implicit solutions in the transformed domain, which are themselves to be calculated numerically on a computer. The numerical results compare very well with those obtained by other methods of attack. The comparison also discloses some rather large errors in a set of data generated by a finite difference scheme as reported in the literature.