The Collaborative International Dictionary of English v.0.48:

Afflux \Af"flux`\, n. [L. affluxum, p. p. of affluere: cf. F.
   afflux. See Affluence.]
   A flowing towards; that which flows to; as, an afflux of
   blood to the head.
   [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

63 Moby Thesaurus words for "afflux":
   access, accession, advance, advent, affluence, affluxion, approach,
   approaching, appropinquation, approximation, appulse, coming,
   coming near, coming toward, concourse, confluence, conflux, course,
   crosscurrent, current, defluxion, downflow, downpour, drift,
   driftage, flow, flowing, flowing toward, fluency, flux,
   forthcoming, gush, imminence, indraft, indrawing, inflooding,
   inflow, influx, influxion, inpour, inrun, inrush, mill run,
   millrace, nearing, nearness, oncoming, onrush, onward course,
   outflow, proximation, race, run, rush, set, spate, stream, surge,
   tide, trend, undercurrent, undertow, water flow