Thermocapillary Instabilities

Davis, Stephen H.

doi:10.1146/annurev.fl.19.010187.002155

Cited by 526 publications

(273 citation statements)

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“…However , to the perturbed system, we can let Bi = 0 to study the influence of the depth ratio on the nature of stability of this system. Bi = 0 was also proposed in the works of Smith and Davis [4] and Davis [6]. System (22)-(27) together with its boundary conditions must be solved numerically to characterize completely the three-dimens ional instability of the basic state, because a Squire's theorem for this flow is not possible.…”

Section: Results Of Bi =mentioning

confidence: 99%

“…, we got the same form as described in Davis's paper [6], and Q was defined as an imposed heat flux in [4,5]. Here, we assumed h 1 = h int = Àx, which implied an constant heat flux Q should be imposed by the particula r considerat ion.…”

Section: The Base Statementioning

confidence: 99%

“…Linear stability analysis of Pearson predicts the threshold value of Marango ni number, Ma = 79.6, which coincides with experiments. Smith and Davis [4,5] and Davis [6] considered thermocapillary instabilities in a single layer system with a non-deformabl e interface. Sen and Davis [7] studied steady thermocapi llary flows in two-dimensi onal slots.…”

Section: Introductionmentioning

confidence: 99%

“…Sen and Davis [7] studied steady thermocapi llary flows in two-dimensi onal slots. In [4][5][6][7], the flow system was subjected to a constant horizontal temperature gradient along the interface resulted in a linearly distribut ed horizontal flow, i.e. the thermal Couette flow.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Linear instability analysis of thermocapillary convection in a bilayer system

Ding

Liu

2013

International Journal of Heat and Mass Transfer

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a b s t r a c tThe linear instability analysis of thermocapillary conve ction in a bila yer system consisting of silicon oil 10cS and fluorinert FC70 liquids was discussed in this paper. The bilayer system was bound below by a rigid plate and above by a free surface with a passive gas. The two immiscible liquids were separated by an interface. A constant horizontal temperature gradient was imposed along the interfaces. Two typical cases were studied: (i) streamwise homogeneou s disturbances (the streamwise disturbance wave number a = 0); (ii) spanwis e homogeneou s disturbances (the spanwis e disturbance wave number b = 0). When a = 0, it was found that convection in the two layers may occur in the form of stationary mode or oscillatory mode. The oscillatory mode takes the form of traveling wave, which propagates in either spanwis e direction. When b = 0, convection in the two layers occurs in the form of oscillatory mode, which takes the form of traveling wave propagating in the same direction as base flow. The three dimensional analysis suggested that disturbance in the spanwis e direction was the major cause of destabilization in the system. The influences of Biot number Bi and the depth ratio h on the unstable modes in the bilayer system were discussed.

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Section: Results Of Bi =mentioning

confidence: 99%

Section: The Base Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Linear instability analysis of thermocapillary convection in a bilayer system

Ding

Liu

2013

International Journal of Heat and Mass Transfer

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“…The thermocapillary flows induced by such stresses can cause interfacial instabilities, 12,13 which have been studied extensively for uniformly heated surfaces. 1 There has been considerable theoretical work focused on thermocapillary instabilities and wave formation in thin liquid films flowing over uniformly heated surfaces. 14,15 While inertial effects are significant in these studies, instabilities also lead to interesting behavior in the lubrication 16,17 and Stokes flow 18 regimes.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of thin liquid films flowing over locally heated surfaces via substrate topography

Tiwari¹,

Davis²

2010

Physics of Fluids

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A long-wave lubrication analysis is used to study the influence of topographical features on the linear stability of noninertial coating flows over a locally heated surface. Thin liquid films flowing over surfaces with localized heating develop a pronounced ridge at the upstream edge of the heater. This ridge becomes unstable to transverse perturbations above a critical Marangoni number and evolves into an array of rivulets even in the limit of noninertial flow. Similar fluid ridges form near topographical variations on isothermal surfaces, but these ridges are stable to perturbations. The influence of basic topographical features on the stability of the locally heated film is analyzed. In contrast to its destabilizing influence on liquid films resting on heated, horizontal walls, even such nonoptimized topography is found to be effective at stabilizing the flowing film with respect to rivulet formation and subsequent rupture. Optimal topographical features that suppress variations in the free-surface shape are also determined. The critical Marangoni number at the instability threshold increases substantially with appropriate topography even for nonzero Biot numbers. An energy analysis is used to provide insight into the mechanism by which the topography stabilizes the flow. Because the stabilizing effect of the topographical features is only weakly sensitive to the governing parameters and particular temperature profile, the use of such features could be a simple alternative in applications to more complicated methods of stabilization.

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Implementing Superhydrophobic Surfaces within Various Condensation Environments: A Review

Singh

Zhang

Stafford

et al. 2020

Adv Materials Inter

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Steam condensation is omnipresent, and inevitable in many industrial processes. A classic example is seen within condensers that are used to liquify various gasses. In consequence, water‐vapor is eventually deposited upon the exterior of heat pipes that passively cool the gas to form a thin film of liquid. This macroscopic film is responsible for the degradation of heat transfer efficiencies. Liquid repellent surfaces can microscopically manipulate the hydrodynamics of formulating condensate to transition toward dropwise/jumping‐droplet condensation. This effect will save operating and maintenance costs of steam condensers within power‐plants, subsequently reducing emissions, operating power, and fuel consumption. However, the challenges associated with the stabilization of dropwise/jumping‐droplet condensation, especially at large subcooling temperatures and high supersaturation ratios, have prohibited the use of liquid repellent surfaces. This review aims to discuss recent improvements and understanding of dropwise/jumping‐droplet condensation surfaces on superhydrophobic surfaces. Numerous examples shall be included, showing experimental and numerical studies of various innovative properties of superhydrophobic structures. In addition, various fabrication techniques of superhydrophobic surfaces that are applicable within industrial systems are discussed. These topics are consolidated to provide guidelines for future research into dropwise/jumping‐droplet condensation on liquid repellent surfaces.

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Thermocapillary Instabilities

Cited by 526 publications

References 0 publications

Linear instability analysis of thermocapillary convection in a bilayer system

Linear instability analysis of thermocapillary convection in a bilayer system

Stabilization of thin liquid films flowing over locally heated surfaces via substrate topography

Implementing Superhydrophobic Surfaces within Various Condensation Environments: A Review

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