a study on the prospect of designing high power electronic packages with ph
ase change cooling is presented, with special emphasis on minimising the ri
sing of junction temperatures due to thermal transient effects. The one-dim
ensional thermal model consists of a finite slab suddenly exposed to a unif
orm heat flux at the top surface and cooled by convective air at the bottom
. The phase change problem is divided into sub-problems and solved progress
ively. Before the slab starts to melt, both exact and approximate solutions
are presented for the distribution of temperature in the slab as functions
of time and Blot number Bi. The necessity of partitioning the time domain
into two regimes, separated by the time to needed for the thermal front to
traverse across the whole slab, is emphasised. After the slab melts, quasi-
steady state solutions are obtained both for the melt depth and the evoluti
on of surface temperature as functions of time and Blot number when t(m) >
t(0), with t(m) denoting the time needed for melting to commence at the top
surface of the slab. The quasi-steady state solutions are compared with th
ose obtained by using the method of finite elements. Approximate but simple
analytical solutions are also constructed for the t(m) < t(0) case which,
again, are compared with the finite element results. Finally, these solutio
ns are analysed to guide the design of advanced packages with optimised pha
se change cooling strategies. (C) 2000 Elsevier Science Ltd. All rights res
erved.