Abstract: A headbox apparatus is disclosed for a papermaking machine. The headbox apparatus defines a flow path for stock flowing between an upstream header and a downstream slice lip. The apparatus includes a plurality of elements which are anchored within the flow path between the header and the slice lip. Each element and an adjacent element of the plurality of elements defines therebetween a flow tube for the flow therethrough of the stock. The flow tube has an upstream portion and a downstream portion that gradually widens in a direction from the header to the slice lip.