The bubbly flows of air–nanofluid and air–water in a vertical tube were numerically simulated using the two-fluid model. Comparison of the numerical results against the experimental data of Park and Chang (2011) demonstrated that the classic two-fluid model, although agreed well with the air–water data, was not applicable to the air–nanofluid bubbly flow. It was suggested that in a bubbly flow system, the existence of interfaces allows the spontaneous formation of a thin layer of nanoparticle assembly at the interfaces, which significantly changes the interfacial behaviours of the air bubbles and the roles of the interfacial forces. As the conservation equations of the classic two-fluid model are still applicable to nanofluids, the mechanisms underlying the modified interfacial behaviours need to be carefully taken into account when modelling air–nanofluid bubbly flows. Thus, one of the key tasks when modelling bubbly flows of air–nanofluid using the two-fluid model is to reformulate the interfacial transfer terms according to the interfacial behaviour modifications induced by nanoparticles.

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interfacial behaviours of conservation interfacial transfer terms nanoparticle assembly classic twofluid model flow nanoparticles interfacial behaviour modifications interfaces air bubbles modelling airndashnanofluid bubbly flows thus airndashwater data

Jiyuan Tu,Xiangdong Li,Yang Yuan,.Modelling and critical analysis of bubbly flows of dilute nanofluids in a vertical tube. (),173–180.

Jiyuan Tu,Xiangdong Li,Yang Yuan,"Modelling and critical analysis of bubbly flows of dilute nanofluids in a vertical tube"

Jiyuan Tu,Xiangdong Li,Yang Yuan,"Modelling and critical analysis of bubbly flows of dilute nanofluids in a vertical tube"