Flow rate limitation in open wedge channel under microgravity

Wei, YueXing; Chen, Xiaoqian; Huang, Yiyong

doi:10.1007/s11433-013-5086-5

Cited by 6 publications

(4 citation statements)

References 7 publications

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“…Weislogel [37] examined the linear stability of an infinite, initially quiescent column of liquid supported within a slender triangular groove of constant cross-section using conventional modal analysis. Other researchers have since examined the free surface collapse and gas ingestion in inertial-capillary flows for rectangular [38], triangular [39] or asymmetrical [40] grooves, the stability of liquid menisci attached to a solid edge [41,42], and the dryout instability for thermocapillary (i.e. non-isothermal) driven flow in triangular grooves [43].…”

Section: Introductionmentioning

confidence: 99%

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Why capillary flows in slender triangular grooves are so stable against disturbances

White

Troian

2019

Phys. Rev. Fluids

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Ongoing development of fuel storage and delivery systems for space probes, interplanetary vehicles, satellites and orbital platforms continues to drive interest in propellant management systems that utilize surface tension to retain, channel and control flow in microgravity environments. Although it has been known for decades that capillary flows offer an ideal method of fuel management, there has been little research devoted to the general stability properties of such flows. In this work, we demonstrate theoretically why capillary flows which channel wetting liquids in slender open triangular channels tend to be very stable against disturbances. By utilizing the gradient flow form of the governing fluid interface equation, we first prove that stationary interfaces in the presence of steady flow are asymptotically nonlinearly and exponentially stable in the Lyapunov sense. We then demonstrate that fluid interfaces exhibiting self-similar Washburn dynamics are transiently and asymptotically linearly stable to small perturbations. This second finding relies on a generalized non-modal stability analysis due to the non-normality of the governing disturbance operator. Taken together, these findings reveal the robust nature of transient and steady capillary flows in open grooved channels and likely explains the prevalent use of capillary flow management systems in many emerging technologies ranging from cubesats to point-of-care microfluidic diagnostic systems.

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Section: Introductionmentioning

confidence: 99%

“…Appendix A: Boundedness of constant C in Eq. (39) We first note that the constant C given by Eq. (39), namely…”

mentioning

confidence: 99%

Why capillary flows in slender triangular grooves are so stable against disturbances

White

Troian

2019

Phys. Rev. Fluids

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“…Klatte et al 12 developed an iterative procedure with surface evolver (SE) algorithm to calculate the critical flow in wedge channel and validated it with drop tower experiments. Wei et al 13 also performed theoretical and experimental study of flow characteristics in wedge channel with a constant geometrical configuration. Both studies on wedge channel did not consider the influence on surface behavior caused by flow rate and open channel length.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on flow rate limitation of open capillary channel flow through a wedge

Zhang

Yang

Lin

et al. 2016

Advances in Mechanical Engineering

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The flow characteristics of slender-column flow in wedge-shaped channel under microgravity condition are investigated in this work. The one-dimensional theoretical model is applied to predict the critical flow rate and surface contour of stable flow. However, the one-dimensional model overestimates the critical flow rate for not considering the extra pressure loss. Then, we develop a three-dimensional simulation method with OpenFOAM, a computational fluid dynamics tool, to simulate various phenomena in wedge channels with different lengths. The numerical results are verified with the capillary channel flow experimental data on the International Space Station. We find that the three-dimensional simulation perfectly predicts the critical flow rates and surface contours under various flow conditions. Meanwhile, the general behaviors in subcritical, critical, and supercritical flow are studied in three-dimensional simulation considering variations of flow rate and open channel length. The numerical techniques for three-dimensional simulation is validated for a wide range of configurations and is hopeful to provide valuable guidance for capillary channel flow experiment and efficient liquid management in space.

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“…Here we use the quantum correlation of two two-spin blocks varying with the spacing spin number to depict the quantum correlation of the proposed system. About measures of quantum correlation, there are many kinds of methods, such as the quantification characteristic function of quantum nonlocality, [19] Bell inequality, [20−21] the Von Neumann entanglement entropy, [22−28] averaged entropy, [29] quantum discord [16−18] and so on. Considering our system, we adopt geometry quantum discord [18,30] as a measure of quantum correlation.…”

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confidence: 99%

Quantum Correlation in Matrix Product States of One-Dimensional Spin Chains

Zhu

2015

Commun. Theor. Phys.

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For our proposed composite parity-conserved matrix product state (MPS), if only a spin block length is larger than 1, any two such spin blocks have correlation including classical correlation and quantum correlation. Both the total correlation and the classical correlation become larger than that in any subcomponent; while the quantum correlations of the two nearest-neighbor spin blocks and the two next-nearest-neighbor spin blocks become smaller and for other conditions the quantum correlation becomes larger, i.e., the increase or the production of the long-range quantum correlation is at the cost of reducing the short-range quantum correlation, which deserves to be investigated in the future; and the ration of the quantum correlation to the total correlation monotonically decreases to a steady value as the spacing spin length increasing.

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Flow rate limitation in open wedge channel under microgravity

Cited by 6 publications

References 7 publications

Why capillary flows in slender triangular grooves are so stable against disturbances

Why capillary flows in slender triangular grooves are so stable against disturbances

Numerical study on flow rate limitation of open capillary channel flow through a wedge

Quantum Correlation in Matrix Product States of One-Dimensional Spin Chains

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