Kelvin–Helmholtz instability of confined Oldroyd-B liquid film with heat and mass transfer

Fu, Qing-fei; Deng, Xiang-dong; Yang, Lijun

doi:10.1016/j.jnnfm.2019.03.009

Cited by 23 publications

(3 citation statements)

References 26 publications

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“…By solving the dispersion equation numerically, it can be found that the liquid jet tends to become unstable when the minimum value of disturbance growth rate is positive. 23–29 In supercritical cases, the linear stability analysis method fails to accurately predict the stability of electrified jets. Due to the disappearance of surface tension, which forces the Weber number tends to infinity, the supercritical regime is exceedingly complicated.…”

Section: Methodsmentioning

confidence: 99%

Stability of an electrified liquid jet approaching to critical point

Fang

2020

Advances in Mechanical Engineering

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This article reports the linear stability analysis of a thermodynamic-transcritical jet sprayed to a radial electrical field. An asymptotic approach was used to obtain the stability solution of a supercritical jet subjected to electrical field. In order to obtain the solutions for the electrified supercritical jet, the surface tension was decreased and consequently led the increase in Weber number in the linear governing equation of subcritical charged jet. To investigate the role of surface tension and electric stress playing in the destabilizing process when approaching the critical point, the energy budget is performed by tracing the energy sources. It was found that, when the Weber number is increased to a sufficiently large value, the solution will become an asymptotic value, which can be considered as a solution under the supercritical conditions. The electric stress can increase both the maximum growth rate and the dominant wave number of electrified supercritical jet, that is, higher electrical field intensity would enhance the instability of the electrified supercritical jet and decrease the wavelength of the disturbances.

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Section: Methodsmentioning

confidence: 99%

Stability of an electrified liquid jet approaching to critical point

Fang

2020

Advances in Mechanical Engineering

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“…KH instability has been an interesting and challenging subject in that the interface undergoes a complex evolution. It should be noted that the KH instability can be encountered in the flow of both Newtonian [2] and non-Newtonian fluids [3][4][5]. This phenomenon is of fundamental importance in science research and engineering applications, such as marine science [6], turbulent mixing [7,8], air-assisted atomization [9], material friction [10], nuclear engineering [11], and so on.…”

Section: Introductionmentioning

confidence: 99%

Research on the Mesoscopic Characteristics of Kelvin–Helmholtz Instability in Polymer Fluids with Dissipative Particle Dynamics

Wang

et al. 2023

Processes

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In this paper, the two-dimensional Kelvin–Helmholtz (KH) instability occurring in the shear flow of polymer fluids is modeled by the dissipative particle dynamics (DPD) method at the coarse-grained molecular level. A revised FENE model is proposed to properly describe the polymer chains. In this revised model, the elastic repulsion and tension are both considered between the adjacent beads, the bond length of which is set as one segment’s equilibrium length. The entanglements between polymer chains are described with a bead repulsive potential. The characteristics of such a KH instability in polymer fluid shear flow can be successfully captured in the simulations by the use of the modified FENE model. The numerical results show that the waves and vortexes grow more slowly in the shear flow of the polymer fluids than in the Newtonian fluid case, these vortexes become flat, and the polymer impedes the mixing of fluids and inhibits the generation of turbulence. The effects of the polymer concentration, chain length, and extensibility are also investigated regarding the evolution of KH instability. It is shown that the mixing of two polymer fluids reduces, and the KH instability becomes more suppressed as the polymer concentration increases. The vortexes become much longer with the evolution of the elongated interface as the chain length turns longer. As the extensibility increases, the vortexes become more flattened. Moreover, the roll-up process is significantly suppressed if the polymer has sufficiently high extensibility. These observations show that the polymer and its properties significantly influence the formation and evolution of the coherent structures such as the waves and vortexes in the KH instability progress.

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“…The interfacial conditions for heat and mass transport were derived by Hsieh. 29 These conditions were extensively used by Nayak and Chakraborty, 30 Lee, 31 Fu et al 32 for inviscid fluids and Kim et al, 33 Awasthi, [34][35][36] Jia et al, 37 Fu et al 38 for viscous/viscoelastic fluids. Some authors [39][40] considered the power-law viscoelastic fluid but in these cases second fluid was inviscid.…”

Section: Introductionmentioning

confidence: 99%

Stability characteristics of Walter’s B viscoelastic fluid in a cylindrical configuration with heat transfer

Awasthi

Dharamendra

Yadav

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The stability characteristics of the viscous fluid–viscoelastic fluid interface are investigated in a region confined by two rigid cylindrical surfaces. Walter’s B viscoelastic fluid is taken for the analysis and the fluid phases are transferring heat along with mass from one phase to the other. The gravitational acceleration effect is neglected and therefore, the interface is unstable due to surface tension. Using the linear stability analysis, the implicit expression for the critical wave number is derived analytically in terms of associated physical parameters and solved through the Newton–Raphson method. The various plots are made in terms of perturbations growth rate and critical wave number showing the behavior of flow variables. It is found that the instability of the interface decreases if the transfer of heat is increased. Walter’s B viscoelastic fluid interface is more unstable than the equivalent Newtonian fluid interface. The density of Walter’s B fluid resists the perturbation’s growth while viscoelasticity has an inverse effect.

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Kelvin–Helmholtz instability of confined Oldroyd-B liquid film with heat and mass transfer

Cited by 23 publications

References 26 publications

Stability of an electrified liquid jet approaching to critical point

Stability of an electrified liquid jet approaching to critical point

Research on the Mesoscopic Characteristics of Kelvin–Helmholtz Instability in Polymer Fluids with Dissipative Particle Dynamics

Stability characteristics of Walter’s B viscoelastic fluid in a cylindrical configuration with heat transfer

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