This paper discusses the influence of joint topology on the formation of br
azed joints. For the purposes of this study, the joint topology is defined
by dimensionless parameters that characterize: (i) the geometry of the mati
ng surfaces (shape and configuration), (ii) the gap between bonded parts (c
learance and tolerances), (iii) the joint orientation in the gravity field
and (iv) the volume of the joint. The influence of these parameters is pres
ented for several joints with a topology that is typically found in the man
ufacture of compact heat exchangers. The results were obtained by employing
a method that is based on a variational principle and minimization of the
potential energy of the molten aluminium liquid metal just prior to the ons
et of solidification. The method, which was verified by comparison with exp
erimental data obtained from controlled atmosphere brazing of aluminium all
oys, is discussed in an accompanying paper.