Numerical study of a thin liquid film on a disk under non-uniform rotation—thermocapillary effects

Usha, R.; Ravindran, R.; Batra, Uma

doi:10.1016/j.fluiddyn.2005.03.003

Cited by 6 publications

(1 citation statement)

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“…3 At higher Reynolds numbers, thin film stability influences the heat and mass transfer characteristics, thereby controlling the performance of falling film and spinning disc reactors, condensers, and reboilers. [4][5][6][7] Studies of thin film stability have examined the dynamics of single-and two-layer flows accounting for a wide variety of effects; these range from capillarity and thermocapillarity, [8][9][10][11][12] surface activity, [13][14][15][16][17] non-Newtonian rheology, [18][19][20][21] and those associated with intermolecular forces [22][23][24][25][26][27] to gravitational, 7,28-34 centrifugal, [35][36][37][38] electrostatic, and electrokinetic [39][40][41] forcing. These studies have successfully elucidated the mechanisms underlying phenomena such as rupture, dewetting, fingering, and wave formation (and even transition to chaos 42,43 ) and their dependence on the relevant system parameters.…”

Section: Introductionmentioning

confidence: 99%

Shock-wave solutions in two-layer channel flow. II. Linear and nonlinear stability

Mavromoustaki

Matar

2011

Physics of Fluids

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We investigate the flow of two immiscible fluids in an inclined channel, building on the work presented in Part I of this study. In this paper, we examine the stability of the flow to spanwise perturbations in both the linear and nonlinear regimes. The evolution equation governing the interfacial dynamics, derived using lubrication theory in Part I, is linearised to study the effect of system parameters on the linear stability of the interface. A transient growth analysis of the linearised equation is carried out with no-flux conditions in the spanwise direction. The results of this analysis reveal that increasing the density and=or the viscosity of the upper layer, and=or increasing the counter-current nature of the flow configuration exerts a stabilising influence. Inspection of the flow profiles indicates that single Lax-shocks and the trailing Lax-shocks in Laxundercompressive double-shocks are unstable to finger formation; undercompressive shocks and rarefaction waves are stable. In unstably stratified cases, increasing the channel inclination away from verticality, such that a denser upper layer overhangs a less dense lower one, is found to be destabilising. These results are used to guide our transient numerical simulations aimed at studying the nonlinear development of fingering phenomena.

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Section: Introductionmentioning

confidence: 99%

Shock-wave solutions in two-layer channel flow. II. Linear and nonlinear stability

Mavromoustaki

Matar

2011

Physics of Fluids

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Study of rising liquid film on surface of horizontal metallic mesh tube

Mei¹,

He²,

Zhao³

et al. 2009

Heat Trans. Asian Res.

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The formation of a rising liquid film on the surface of a horizontal metallic mesh tube in the presence of a temperature field is investigated. A numerical model is established to study the behavior of the rising liquid film. For thermocapillary flow, the velocity distribution of the liquid film is obtained numerically and the influences of wall temperature, geometry of the metallic mesh, and diameter of the tube on the formation of the rising liquid film are also investigated. The results indicate that the velocity of the rising liquid film is influenced by the diameter of the tube and the gap between the tube and the metallic mesh. The velocity of the rising liquid is obviously promoted due to the influence of thermocapillary flow. An experimental system was developed and comparisons between numerical solution and experimental results were made.

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