title: Multi-branching flows from one mother tube to many daughters or to a network.
abstract: Multiply branching fluid flows are modelled in two contexts. The first (type I) is for one-to-many branching. Computations are described for flow through a channel, with fully developed motion upstream, which branches abruptly into a number of subchannels downstream. The differences in pressure between the upstream end of the channel and the downstream ends of the subchannels are substantial. Comparisons with recent analytical predictions show fair agreement for Reynolds numbers in the low tens and above. The second context (type II) has successive generations of bifurcation in a network. Modelling, computations and analysis include the effects of many bifurcations.
authors.affiliation: Mathematics Department, University College London, Gower Street, London WC1E 6BT, UK. rob@math.ucl.ac.uk
authors.forename: R I
authors.initials: RI
authors.lastname: Bowles
authors.forename: S C R
authors.initials: SC
authors.lastname: Dennis
authors.forename: R
authors.initials: R
authors.lastname: Purvis
authors.forename: F T
authors.initials: FT
authors.lastname: Smith