Rayleigh instability of power-law viscoelastic liquid with heat and mass transfer

Awasthi, Mukesh Kumar; Shukla, Atul Kumar; Yadav, Dhananjay

doi:10.1016/j.icheatmasstransfer.2021.105657

Cited by 9 publications

(4 citation statements)

References 17 publications

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“…Hence, b α has stabilizing nature. Kim et al 33 and Awasthi et al 35,40 also found the same character of heat transport on the interface in an annular region. Hence, one can say that viscoelasticity has no impact on the character of heat transport, that is, heat transport has stabilizing character.…”

Section: Resultsmentioning

confidence: 62%

“…The dynamical equation at the interface will include the viscous effects in the analysis. Mathematically (Awasthi et al 40 ) …”

Section: Mathematical Statementmentioning

confidence: 99%

“…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%

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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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Section: Resultsmentioning

confidence: 62%

“…The dynamical equation at the interface will include the viscous effects in the analysis. Mathematically (Awasthi et al 40 ) …”

Section: Mathematical Statementmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Barik et al 26 delved into the impact of elasticity, suction/injection, and porous matrix on the flow of a visco-elastic (Walter's B) fluid through a porous pipe, highlighting that the fluid's elasticity, porous matrix, and suction effectively reduce skin friction at the plate. Finally, Awasthi et al 27 conducted a theoretical analysis of Rayleigh instability at the interface of a viscoelastic liquid, emphasizing that a power law liquid tends to be more unstable than a Newtonian fluid. Upon reviewing the available literature, it becomes apparent that several models have been proposed to account for fluids with both elastic and viscous properties.…”

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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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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Impact of Vertical Magnetic Field on the Rivlin-Ericksen Fluid Interface: An Irrotational Flow Approach

Shukla,

Awasthi,

Dharamendra

2024

Lecture Notes in Networks and Systems

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Rayleigh instability of power-law viscoelastic liquid with heat and mass transfer

Cited by 9 publications

References 17 publications

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

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

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

Impact of Vertical Magnetic Field on the Rivlin-Ericksen Fluid Interface: An Irrotational Flow Approach

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