Electrohydrodynamic capillary instability of Rivlin–Ericksen viscoelastic fluid film with mass and heat transfer

Awasthi, Mukesh Kumar; Dutt, Nitesh; Kumar, Ashwani; Kumar, Sunil

doi:10.1002/htj.22944

Cited by 6 publications

(12 citation statements)

References 48 publications

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“…Figures 2 and 3 display a contrast between the earlier findings [12,26] and our current results. The numerical results obtained for the problem considered here are presented in Figures 4-10.…”

Section: Resultscontrasting

confidence: 99%

“…These numerical results provide a comprehensive explanation of the physical implications, emphasizing the power of diverse non-dimensional characteristics on the growth of perturbations. r Figures 2 and 3 display a contrast between the earlier findings [26,12] and our current results. The numerical results obtained for the problem considered here are presented in Figures 4-10.…”

Section: Resultscontrasting

confidence: 99%

“…In the case of RE fluid, the stress tensor r τ can be represented by utilizing both the velocity vector and the deformation rate tensor, as illustrated below [26]:…”

Section: Physical Formulationmentioning

confidence: 99%

“…For the viscous fluid phase, the governing equations for the conservation of mass and conservation of momentum are inscribed as [14] In the case of RE fluid, the stress tensor τ r can be represented by utilizing both the velocity vector and the deformation rate tensor, as illustrated below [26]:…”

Section: Physical Formulationmentioning

confidence: 99%

“…[25], the surface charge effect on the capillary stability along with the mass/heat transmission and electric field was studied. Recently, we [26] explored the control of the electric field in the axial direction on the stability of the Rivlin-Ericksen/viscous fluid interface. In this study, the fluids lay in the annulus and the cylinders were not rotating.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Resultscontrasting

confidence: 99%

Section: Resultscontrasting

confidence: 99%

“…In the case of RE fluid, the stress tensor r τ can be represented by utilizing both the velocity vector and the deformation rate tensor, as illustrated below [26]:…”

Section: Physical Formulationmentioning

confidence: 99%

Section: Physical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Viscous correction to the potential flow analysis of Rayleigh–Taylor instability in a Rivlin–Ericksen viscoelastic fluid layer with heat and mass transfer

Awasthi,

Shukla,

Kumar

et al. 2024

Heat Trans

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The current investigation focuses on examining viscous corrections for viscous potential flow (VCVPF) analysis concerning the Rayleigh–Taylor instability occurring at the interface of a Rivlin–Ericksen (R–E) viscoelastic fluid and a viscous fluid during the transfer of heat and mass between phases. The R–E model is a fundamental framework in the study of viscoelastic fluids, providing insights into their complex rheological behavior. It characterizes the material's response to both deformation and flow, offering valuable predictions for various industrial and biological applications. Within the framework of viscous potential flow (VPF) theory, viscosity is exclusively accounted for in the normal stress balance equation, disregarding the influence of shearing stress entirely. This study introduces a viscous pressure term into the normal stress balance equation alongside the irrotational pressure, presuming that this addition will improve the discontinuity of tangential stresses at the fluid interface. Through derivation of a dispersion relationship and subsequent theoretical and numerical stability analyses, the stability of the interface is investigated across various physical parameters. Multiple plots are generated using the dispersion relation, and a comparative analysis between VPF and VCVPF is conducted to establish improved stability criteria. The investigation highlights that the combined impact of heat/mass transport and shearing stress serves to delay the instability of the interface.

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Prediction of thermal efficiency of double pass solar air heater having discrete multi V and staggered ribs

Ravi,

Kumar,

Kumar

et al. 2024

Heat Trans

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This manuscript endeavors to elucidate a comprehensive analysis for the assessment of thermal efficiency in double pass solar air collectors augmented with fabricated roughness, instrumental in the generation of heated air for applications in heating and drying. The analytical procedure delineates comparisons between a smooth and a double‐sided, roughened absorber, characterized by discrete, multi V and staggered configurations of roughness. The analysis was performed for different roughness parameters including relative roughness width (W/w) from 4 to 8 and relative staggered rib size (r/e) from 1 to 4 and relative rib pitch (p′/p) from 0.2 to 0.8 while other parameters were kept constant. The research scrutinizes the impact of a constellation of parameters: the temperature rise coefficient (ΔT/I, varying between 0.002 and 0.02 K‐m²/W), Reynolds number (Re, spanning 2000–20,000), solar irradiance (I, ranging from 600 to 1000 W/m²), and the geometric variables of the artificial roughness, on both the thermal efficiency and efficiency enhancement factor of the collector. The study revealed that the roughened collector exhibits higher thermal efficiency compared to smooth collector for a similar condition. The extreme enhancement in thermal efficiency of the collector with roughness has been found to be 56.75% more than nonroughened collector for Re = 2000. A further observation was made that thermal efficiency has increased sharply for lower flow rate (Re < 10,000) whereas for higher flow rates (Re > 10,000), this increase becomes nearly asymptotic. In addition, the efficiency enhancement factor has also been found to increase with an increase in ΔT/I. A peak value of 2.321 has been found to be obtained for the efficiency enhancement factor for ΔT/I = 0.02 K‐m2/W and I = 1000 W/m2 as a result of the studies conducted.

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Electrohydrodynamic capillary instability of Rivlin–Ericksen viscoelastic fluid film with mass and heat transfer

Cited by 6 publications

References 48 publications

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

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

Viscous correction to the potential flow analysis of Rayleigh–Taylor instability in a Rivlin–Ericksen viscoelastic fluid layer with heat and mass transfer

Prediction of thermal efficiency of double pass solar air heater having discrete multi V and staggered ribs

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