Absolute and Convective Instability of a Confined Swirling Annular Liquid Layer

Fu, Qing-fei; Yang, Lijun; Tong, Ming-Xi; Wang, Chen

doi:10.1615/atomizspr.2014007776

Cited by 17 publications

(5 citation statements)

References 27 publications

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“…If the heat and mass transfer are occurring together, then this process becomes even more complicated. Fu et al read the heat/mass movement effect on the interface with the rotation of the outer cylinder, but the fluid taken by them was nonviscous. Lopez examined the linear stability in laterally heated and rotating flows via direct numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis between two concentric rotating cylinders with heat and mass transfer

Awasthi

Agarwal

2019

Heat Trans

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The stability of the liquid/vapor interface between two concentric revolving cylinders is examined. The transfer of heat/mass is allowed at the interface. Both the cylinders rotate with different angular velocities. The fluids inside the annular region are taken as incompressible and viscous. The theory of viscous potential flow analysis is used to add the viscous effects. The normal mode technique is used to calculate the growth of perturbations. If we rotate the inner cylinder, it is seen that asymmetric disturbances have a destabilizing character at the interface but the rotation of the outer cylinder has a stabilizing effect. We found that an asymmetric disturbance destabilizes the interface if the inner cylinder rotates. It is found that the arrangement gets destabilized on rotating of the inner cylinder but rotation of the outer cylinder induces stability, and the most stable case is found when the inner cylinder is stationary and the outer cylinder is rotating.

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Section: Introductionmentioning

confidence: 99%

Stability analysis between two concentric rotating cylinders with heat and mass transfer

Awasthi

Agarwal

2019

Heat Trans

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“…In summary, Formulas (18), ( 22), (28), and (29) give the relationship between the velocity perturbations of polymer melt in the micro cavity and the parameters of two-dimensional ultrasonic vibration. If the flow of polymer melt is convectively unstable, only the steady responses are left, and the velocity of polymer melt changes periodically.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…If the amplified perturbation propagates to the downstream (or upstream) direction of sound source and leaves the flow area after a long time, the flow field finally returns to the undisturbed state and the flow is convectively unstable. 28,29 Thereby, the type of flow stability and the final flow state could be analyzed by establishing the formulas of perturbation stream function related to ultrasonic vibration parameters. 30,31 However, the motion trajectory of two-dimensional ultrasonic vibration is more complex, it needs more parameters to fully express the characteristics of two-dimensional ultrasonic vibration, which significantly increases the difficulty of analyzing the perturbations evolution mechanism of the flow field under twodimensional ultrasonic vibration.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis and numerical modeling of the evolution mechanism of polymer melt unstable flow in two‐dimensional ultrasonic‐assisted micro‐injection molding

Qiu

Wang

2021

J of Applied Polymer Sci

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Micro polymer parts are usually fabricated by ultrasonic-assisted micro-injection molding which is an effective and low-cost method. This method solves some injection molding defects such as short shot by reducing the melt viscosity, and the clarification of its mechanism is a challenge. This article is aimed at studying the evolution mechanism of two-dimensional ultrasonic vibration on the polymer melt unstable flow. A two-dimensional ultrasonic vibration, whose displacements components in the x-and y-directions are large, is applied to the polymer melt. The unstable flow is a flow field with perturbations. The formulas of perturbation stream function and velocity perturbations are established based on the theories of absolute instability and convective instability. The established formulas are verified by numerical analysis. The results show that the flow of

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“…It was demonstrated that the annular jet instability is always made worse by an ambient gas medium. Numerous widespread studies, see Fu et al 12 require scrutinizing the instability of fluid sheets and cylinders from a different point of view, however, without MHT. In light of their numerous uses in the chemical and industrial fields, thermal enhancement research was expected to increase in the modern era 13 .…”

Section: Introductionmentioning

confidence: 99%

The influence of energy and temperature distributions on EHD destabilization of an Oldroyd-B liquid jet

Moatimid,

Amer

2023

Sci Rep

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This work examines the impact of an unchanged longitudinal electric field and the ambient gas on the EHD instability of an Oldroyd-B fluid in a vertical cylinder, where the system is immersed in permeable media. In order to explore the possible subject uses in thermo-fluid systems, numerous experimental and theoretical types of research on the subject are conducted. The main factors influencing the dispersion and stability configurations are represented by the energy and concentration equations. The linear Boussinesq approximating framework is recommended for further convenience. A huge growth in numerous physical and technical implications is what motivated this study. Using the standard normal modes of examination, the characteristics of velocity fields, temperature, and concentration are analyzed. The conventional stability results in a non-dimensional convoluted transcendental dispersion connection between the non-dimensional growth rate and all other physical parameters. The Maranogoni phenomenon, in which temperature and concentration distributions affect surface tension, has been addressed. It is observed that the intense electric field, the Prandtl numeral, the Lewis numeral, and the Lewis numeral velocity ratio have a stabilizing influence. As opposed to the Weber numeral, the Ohnesorge numeral, and the density ratio have a destabilizing influence.

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Absolute and Convective Instability of a Confined Swirling Annular Liquid Layer

Cited by 17 publications

References 27 publications

Stability analysis between two concentric rotating cylinders with heat and mass transfer

Stability analysis between two concentric rotating cylinders with heat and mass transfer

Theoretical analysis and numerical modeling of the evolution mechanism of polymer melt unstable flow in two‐dimensional ultrasonic‐assisted micro‐injection molding

The influence of energy and temperature distributions on EHD destabilization of an Oldroyd-B liquid jet

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