Weakly nonlinear stability analysis of condensate film flow down a vertical cylinder

Hung, Chen-I; Chen, Cha’o-Kuang; Tsai, Jung-Shun

doi:10.1016/0017-9310(95)00355-x

Cited by 45 publications

(26 citation statements)

References 16 publications

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“…As compared to the analysis results given by Hung et al [15]. it is found that both solutions agree weil with each other.…”

Section: Numerical Examplessupporting

confidence: 64%

“…(19)- (24), the system goveming equations can then be eolleeted and solved order by order. ln praetice, the nOIl-dimensional surface tension S, is a large value, the term a ' S, can be treated as a quantity of zeroth order [15,18]. After eolleeting ail terms of zeroth order (aD) from the goveming equations, a set of zeroth order equations is obtained and presented as …”

Section: Stability Analysismentioning

confidence: 99%

“…h; is the film thiekness of local base f10w and II~is the referenee velocity which can be expressed as (15) …”

Section: Vol 30 Noj 2006mentioning

confidence: 99%

See 2 more Smart Citations

Stability Analysis of the Thin Power Law Liquid Film Flowing Down on a Vertical Cylinder

Cheng

Liu

2006

Transactions of the Canadian Society for Mechanical Engineering

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“…As compared to the analysis results given by Hung et al [15]. it is found that both solutions agree weil with each other.…”

Section: Numerical Examplessupporting

confidence: 64%

Section: Stability Analysismentioning

confidence: 99%

See 1 more Smart Citation

Stability Analysis of the Thin Power Law Liquid Film Flowing Down on a Vertical Cylinder

Cheng

Liu

2006

Transactions of the Canadian Society for Mechanical Engineering

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“…The numerical modeling results indicated that both conditions of supercritical stability and sub-critical instability are possible to occur for the film flow. Hung et al [18] investigated the weakly nonlinear stability analysis of a condensation film flowing down a vertical cylinder. They also showed that supercritical stability in the linearly unstable region and sub-critical instability in the linearly stable region can co-exist.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Stability Analysis of Thin Viscoelastic Film Flowing Down on the Inner Surface of a Rotating Vertical Cylinder

Chen

Chen²,

Yang³

2005

Nonlinear Dyn

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This paper investigates the stability of thin viscoelastic liquid film flowing down on the inner surface of a rotating vertical cylinder by means of the long wave perturbation. After proving the insufficiency of the linear model in characterization of certain flow behaviors, a generalized nonlinear kinematic model is then derived to represent the physical system. This model is solved through the following procedure. In the first step, the normal mode method is used to characterize the linear behaviors. The amplitude growth rates and the threshold conditions are characterized subsequently and summarized as the by-products of the linear solutions. In the second step, a nonlinear film flow model is solved by using the method of multiple scales to characterize flow behaviors at various states of sub-critical stability, sub-critical instability, supercritical stability, and supercritical explosion. The modeling results indicate that with the increase in the rotation speed and the radius of cylinder R, the film flow system will be more stable.

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“…The numerical modeling results indicated that both conditions of supercritical stability and sub-critical instability are possible to occur for the film flow. Hung et al [13] investigated the weakly nonlinear stability analysis of a condensation film flowing down a vertical cylinder. They also showed that supercritical stability in the linearly unstable region and subcritical instability in the linearly stable region can co-exist.…”

mentioning

confidence: 99%

Viscous falling film instability around a vertical moving cylinder

Zakaria

Gamiel

2012

Acta Mech Sin

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The present work discusses both the linear and nonlinear stability conditions of a viscous falling film down the outer surface of a solid vertical cylinder which moves in the direction of its axis with a constant velocity. After studying the linear conditions, a generalized nonlinear kinematic model is then derived to present the physical system. Applying the boundary conditions, analytical solutions are obtained using the long-wave perturbation method. In the first step, the normal mode method is used to characterize the linear behaviors. In the second step, the nonlinear film flow model is solved by using the method of multiple scales, to obtain Ginzburg-Landau equation. The influence of some physical parameters is discussed in both linear and nonlinear steps of the problem, and the results are displayed in many plots showing the stability criteria in various parameter planes.

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Weakly nonlinear stability analysis of condensate film flow down a vertical cylinder

Cited by 45 publications

References 16 publications

Stability Analysis of the Thin Power Law Liquid Film Flowing Down on a Vertical Cylinder

Stability Analysis of the Thin Power Law Liquid Film Flowing Down on a Vertical Cylinder

Nonlinear Stability Analysis of Thin Viscoelastic Film Flowing Down on the Inner Surface of a Rotating Vertical Cylinder

Viscous falling film instability around a vertical moving cylinder

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