Abstract

Abstract

Highlights

  • There is firm evidence (Joseph, Renardy & Renardy 1984; Hu, Lundgren & Joseph 1990; Joseph et al 1997; Kim & Choi 2018; Roccon, Zonta & Soldati 2019) that the injection of a small amount of a low viscosity fluid into a pipeline used to transport a high viscosity fluid produces drag reduction (DR)

  • We have used direct numerical simulation (DNS) to analyse the problem of DR in a lubricated channel, a flow configuration in which a thin layer of a lubricating fluid is injected in the near-wall region of a plane channel so as to favour the transportation of a primary fluid

  • A phase-field method (PFM) has been used to describe the dynamics of the interface, which is characterized by a uniform value of the surface tension

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Summary

Introduction

There is firm evidence (Joseph, Renardy & Renardy 1984; Hu, Lundgren & Joseph 1990; Joseph et al 1997; Kim & Choi 2018; Roccon, Zonta & Soldati 2019) that the injection of a small amount of a low viscosity fluid into a pipeline used to transport a high viscosity fluid produces drag reduction (DR). The key physical principle at the heart of the observed DR mechanism is the natural tendency for the low viscosity fluid to migrate to the pipe wall and to lubricate the flow (Joseph et al 1997). Known since the beginning of the last century (Isaac & Speed 1904; Looman 1916; Clark & Shapiro 1949), this DR mechanism has received a lot of attention, precisely because of its potential applicability to the strategically and industrially relevant case of water-lubricated oil pipelines (Russel & Charles 1959; Charles, Govier & Hodgson 1961; Hasson, Mann & Nir 1970)

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