Linear stability of confined swirling annular liquid layers in the presence of gas velocity oscillations with heat and mass transfer

Jia, Bo-qi; Yang, Lijun; Xie, Luo; Fu, Qing-fei; Cui, Xiao

doi:10.1016/j.ijheatmasstransfer.2019.04.035

Cited by 19 publications

(5 citation statements)

References 20 publications

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“…When we incorporate F(r, u, z, t) = h(r)e (Àivt + inu + ikz) into the Laplace equation, it transforms into an ordinary differential equation (ODE) denoted as h 00 + 1 r h 0 + 1 r 2 ( À n 2 )h + ( À k 2 )h = 0 ) r 2 h 00 + rh 0 À(n 2 + k 2 r 2 )h = 0, which is a modified Bessel equation of order n. Consequently, its solution can be expressed as h = C 1 I n (kr) + C 2 K n (kr). By applying the prescribed boundary conditions (12) and interfacial conditions ( 12) and ( 13), we derive the expressions of A i (kr) and A o (kr).…”

Section: Perturbed Statementioning

confidence: 99%

“…Furthermore, Fu et al 11 examined the stability of the system taking into account the influence of swirl and mass/heat transfer, while characterizing heat transfer at the interface based on the evaporation-to-conduction heat flux ratio. Jia et al 12 studied the linear stability of confined swirling liquid layers, considering gas velocity oscillations, and incorporating heat and mass transfer effects. They observed that the system's instability is augmented when small Weber numbers are considered and gets suppressed at larger Weber numbers due to confinement.…”

Section: Introductionmentioning

confidence: 99%

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Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Srija,

Singh,

Awasthi

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The multifaceted applications of swirling interfaces featuring heat and mass transfer extend across diverse industries, encompassing energy, manufacturing, healthcare, and environmental protection. The present study is concerned with examining the swirling impact on the capillary instability occurring at the interface between a Walter’s B viscoelastic fluid and a viscous fluid, under the influence of heat and mass transfer. The setup consists of two rigid cylinders that form an annular region filled with viscous fluid on the inner side and Walter’s B viscoelastic fluid on the outer side. The outer cylinder rotates at a constant angular velocity, while the inner cylinder remains stationary. The study employs the Walter’s B viscoelastic model, which conforms to the potential flow theory for viscoelastic fluids. The proposed flow theory disregards tangential stresses and balances the difference in normal viscous stresses with the surface force at the free boundary. The perturbed equations yield a quadratic equation in growth rate, which is numerically analyzed. The results show that heat and mass transfer enhance the interface’s stability and swirling makes it more stable. Moreover, it is noteworthy that the Weber number exerts a stabilizing influence on the interface, while the density ratio also plays a role in promoting its stability. The centrifuge number exhibits a counteractive effect by impeding interface growth, thus contributing to its stabilization.

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Section: Perturbed Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Srija,

Singh,

Awasthi

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…In Ref. [6], the stability of enclosed swirling layers with heat/mass transfer and offered a fresh perspective on gas velocity oscillations was investigated. When the liquid was above the vapor, Ref.…”

Section: Introductionmentioning

confidence: 99%

Swirling Capillary Instability of Rivlin–Ericksen Liquid with Heat Transfer and Axial Electric Field

Yadav,

Awasthi,

Kumar

et al. 2024

Physics

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The mutual influences of the electric field, rotation, and heat transmission find applications in controlled drug delivery systems, precise microfluidic manipulation, and advanced materials’ processing techniques due to their ability to tailor fluid behavior and surface morphology with enhanced precision and efficiency. Capillary instability has widespread relevance in various natural and industrial processes, ranging from the breakup of liquid jets and the formation of droplets in inkjet printing to the dynamics of thin liquid films and the behavior of liquid bridges in microgravity environments. This study examines the swirling impact on the instability arising from the capillary effects at the boundary of Rivlin–Ericksen and viscous liquids, influenced by an axial electric field, heat, and mass transmission. Capillary instability arises when the cohesive forces at the interface between two fluids are disrupted by perturbations, leading to the formation of characteristic patterns such as waves or droplets. The influence of gravity and fluid flow velocity is disregarded in the context of capillary instability analyses. The annular region is formed by two cylinders: one containing a viscous fluid and the other a Rivlin–Ericksen viscoelastic fluid. The Rivlin–Ericksen model is pivotal for comprehending the characteristics of viscoelastic fluids, widely utilized in industrial and biological contexts. It precisely characterizes their rheological complexities, encompassing elasticity and viscosity, critical for forecasting flow dynamics in polymer processing, food production, and drug delivery. Moreover, its applications extend to biomedical engineering, offering insights crucial for medical device design and understanding biological phenomena like blood flow. The inside cylinder remains stationary, and the outside cylinder rotates at a steady pace. A numerically analyzed quadratic growth rate is obtained from perturbed equations using potential flow theory and the Rivlin–Ericksen fluid model. The findings demonstrate enhanced stability due to the heat and mass transfer and increased stability from swirling. Notably, the heat transfer stabilizes the interface, while the density ratio and centrifuge number also impact stability. An axial electric field exhibits a dual effect, with certain permittivity and conductivity ratios causing perturbation growth decay or expansion.

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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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Linear stability of confined swirling annular liquid layers in the presence of gas velocity oscillations with heat and mass transfer

Cited by 19 publications

References 20 publications

Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Impact of swirling on capillary instability of Walter’s B viscoelastic fluid-viscous fluid interface with heat and mass transfer

Swirling Capillary Instability of Rivlin–Ericksen Liquid with Heat Transfer and Axial Electric Field

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

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