Capillary rise of a meniscus with phase change

Ramon, Guy Z.; Oron, Alexander

doi:10.1016/j.jcis.2008.08.016

Cited by 42 publications

(30 citation statements)

References 18 publications

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“…We consider that a more realistic case occurs when the temperature field in the liquid is taken into account, causing a local variation of the interfacial temperature. In fact, this point was commented by Ramon and Oron [8]. Therefore, the main purpose of this paper is to solve the Lucas-Washburn equation in conjunction with the energy equation for the liquid penetrating a capillary tube, considering that the imbibition front is also controlled by a direct condensation process and considering a linear dependence on temperature of the surface tension.…”

Section: Introductionmentioning

confidence: 95%

“…(7)- (10) into Eq. (4), we obtain the Lucas-Washburn equation that describes the rise of the liquid within the capillary [8] ρgh + 8µ…”

Section: Formulationmentioning

confidence: 99%

“…Compared to the capillaries of micron scale, the meniscus region will extend to the center of capillary axis. Recently, the Lucas-Washburn equation [5,7], was extended by Ramon and Oron [8], describing the motion of a liquid body in a capillary tube so as to account for the effect of interfacial mass transfer due to phase change, either evaporation or condensation. They showed that the phase change affects the equilibrium height of the meniscus, the transition threshold from monotonic to oscillatory dynamics, and the frequency of oscillations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-Isothermal Spontaneous Imbibition Process Including Condensation Effects and Variable Surface Tension

Oscar¹,

Salvador²,

Federico³

et al. 2012

Heat Transfer Phenomena and Applications

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Section: Introductionmentioning

confidence: 95%

“…(7)- (10) into Eq. (4), we obtain the Lucas-Washburn equation that describes the rise of the liquid within the capillary [8] ρgh + 8µ…”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-Isothermal Spontaneous Imbibition Process Including Condensation Effects and Variable Surface Tension

Oscar¹,

Salvador²,

Federico³

et al. 2012

Heat Transfer Phenomena and Applications

View full text Add to dashboard Cite

“…(8) into eq. (7), and according to Ramon's model [10], we can obtain the following equation: Table 1. Figure 3 shows the evolution of the small displacements for two different heat fluxes.…”

Section: Stability Of the Evaporating Interfacementioning

confidence: 99%

Interface stability in a capillary loop undergoing phase changes in non-gravitational conditions

Liu

et al. 2010

Chin. Sci. Bull.

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A mathematical model based on the Lucas-Washburn equation has been developed to address the relationships between capillary height, capillary radius and heat flux in a capillary loop. The stability criteria at the interface are studied in detail by introducing a small perturbation to the interfaces of the capillary loop. The formulae deduced as a consequence are used to analyze the influence of height of the capillary wick and the stability in a capillary loop undergoing phase changes. capillary column, phase change, Lucas-Washburn equation, stability, non-gravitational condition Citation: Tu Z K, Liu W, Liu Z C, et al. Interface stability in a capillary loop undergoing phase changes in non-gravitational conditions.Capillary pumped loops (CPLs) and looped heat pipes (LHPs) are structures comprising two-phase heat-transport devices that are capable of passively transporting heat over large distances with minimal temperature loss and without moving parts to pump the working fluid. For this reason, CPL and LHP structures are widely emerging as standards in designs of thermal control system for spacecrafts. Two complementary effects establish its operation. On the one hand, with the increase in heat load, the evaporating interface gradually turns inward in the capillary wick resulting in the evaporator drying out. On the other hand, the condensing interface of the liquid line fluctuates because of nonuniformity in the condensing heat load and pressure oscillations, creating temperature oscillations of the system. Therefore, stability studies of the evaporating and condensing interfaces are paramount [1]. Many researchers have demonstrated the use of phase equilibrium theory to investigate the thermodynamic behavior of the capillary interfaces [2,3], although little attention has been paid to the *Corresponding author (email: w_liu@hust.edu.cn) effect of capillary liquid height on the capillary force and stability of the system. Moreover, the main experimental investigations were performed under gravitational conditions [4][5][6]. Our aim is to extend the Lucas-Washburn description to include capillary loops with phase changes and investigate the influence of capillary liquid height on the capillary force and stability of the loop by exploiting some simplifications under non-gravitational conditions.

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“…We observed an additional constant pressure value independent from the curvature. We examined possible physical effects that can cause the anomalous pressure, such as the contact angle between the micropipette and the liquid, flow in the fluidic system, dependence of surface tension on drop size, 27 vapor recoil, 28,29 and isothermal extension of vapor in the gas phase. 26 We propose that the reason of the effect is the evaporation of the liquid:…”

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confidence: 99%

Automated single cell sorting and deposition in submicroliter drops

Salánki

Gerecsei

Orgován

et al. 2014

Applied Physics Letters

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Automated manipulation and sorting of single cells are challenging, when intact cells are needed for further investigations, e.g., RNA or DNA sequencing. We applied a computer controlled micropipette on a microscope admitting 80 PCR (Polymerase Chain Reaction) tubes to be filled with single cells in a cycle. Due to the Laplace pressure, fluid starts to flow out from the micropipette only above a critical pressure preventing the precise control of drop volume in the submicroliter range. We found an anomalous pressure additive to the Laplace pressure that we attribute to the evaporation of the drop. We have overcome the problem of the critical dropping pressure with sequentially operated fast fluidic valves timed with a millisecond precision. Minimum drop volume was 0.4–0.7 μl with a sorting speed of 15–20 s per cell. After picking NE-4C neuroectodermal mouse stem cells and human primary monocytes from a standard plastic Petri dish we could gently deposit single cells inside tiny drops. 94 ± 3% and 54 ± 7% of the deposited drops contained single cells for NE-4C and monocytes, respectively. 7.5 ± 4% of the drops contained multiple cells in case of monocytes. Remaining drops were empty. Number of cells deposited in a drop could be documented by imaging the Petri dish before and after sorting. We tuned the adhesion force of cells to make the manipulation successful without the application of microstructures for trapping cells on the surface. We propose that our straightforward and flexible setup opens an avenue for single cell isolation, critically needed for the rapidly growing field of single cell biology.

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Capillary rise of a meniscus with phase change

Cited by 42 publications

References 18 publications

Non-Isothermal Spontaneous Imbibition Process Including Condensation Effects and Variable Surface Tension

Non-Isothermal Spontaneous Imbibition Process Including Condensation Effects and Variable Surface Tension

Interface stability in a capillary loop undergoing phase changes in non-gravitational conditions

Automated single cell sorting and deposition in submicroliter drops

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