Thermally driven pumps and diodes in multistage assemblies consisting of microchannels with converging, diverging and uniform rectangular cross sections

Tatsios, Giorgos; Valougeorgis, Dimitris; Rojas-Cárdenas, Marcos; Baldas, Lucien; Barrot-Lattes, Christine; Colin, Stéphane

doi:10.1007/s10404-020-02357-z

Cited by 10 publications

(6 citation statements)

References 57 publications

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“…The formula for the flow-blocking pressure difference ∆P c can be calculated as follows (Guillermo et al [33]):…”

Section: Flow Coefficient and Cavitation Coefficientmentioning

confidence: 99%

Numerical Study of Cavitation Characteristics through Butterfly Valve under Different Regulation Conditions

Zhang,

Hu,

Yin

et al. 2024

Processes

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Butterfly valves are widely used in the pipeline transportation industry due to their safety and reliability, as well as their low manufacturing and operation costs. Cavitation is a common phenomenon in the butterfly valve that can lead to serious damage to a valve’s components. Therefore, it is important to investigate the generation and evolution of cavitation in butterfly valves. In this study, LES and the Zwart model were used as the turbulence and cavitation models, respectively, to simulate cavitation through a butterfly valve. The influence of the valve opening degree and inlet flow velocity on dynamic cavitation through the butterfly valve were studied. Furthermore, the cavitated flow field was examined, along with the performance coefficients of the butterfly valve. With the increase in the incoming flow velocity, the high-speed jet zone over a large-range and low-pressure zone appeared inside the downstream of butterfly valve, which affected its stability and the cavitation generation through the valve. Furthermore, the flow coefficient decreased with the increase in vapor volume. In addition, the results indicated that cavitation was more easily induced for smaller valve opening degrees, and the interaction between cavitation and solid walls was stronger. Due to the existence of cavitation, the flow characteristics of butterfly valves are seriously affected.

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“…The formula for the flow-blocking pressure difference ∆P c can be calculated as follows (Guillermo et al [33]):…”

Section: Flow Coefficient and Cavitation Coefficientmentioning

confidence: 99%

Numerical Study of Cavitation Characteristics through Butterfly Valve under Different Regulation Conditions

Zhang,

Hu,

Yin

et al. 2024

Processes

View full text Add to dashboard Cite

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“…Milićev and Stevanović [109] recently provided an analytical solution for the steady pressure driven flow of viscous compressible isothermal gas through constant or slowly-varying cross-section microchannels and Quesada et al [110] computationally studied the phenomenon of thermal transpiration-which was explained in the 'introduction' section-in multi-stage Knudsen pumps. In this paper, it is suggested that due to the broad applications of thermal pumps in industry and recent advances in the microfabrication technology, there is room to investigate alternative pump designs.…”

Section: Converging or Diverging Channelsmentioning

confidence: 99%

A review of rarefied gas flow in irregular micro/nanochannels

Taassob

Bordbar

Kheirandish

et al. 2021

J. Micromech. Microeng.

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In today’s complex micro–electro–mechanical systems (MEMS), investigation of flow through irregular micro/nanochannels, such as bended channels, variable cross-sectional area channels, and those with rough surfaces, can contribute considerably to efficient designing of the microdevices and to gain a better understanding of the flow structure in these geometries. The present paper reviews the prominent studies published in literature on rarefied gas flow through these types of complex geometries. The main focus of the study is to explore the physical aspects of the findings and the analyses provided in support of the results. Finally, the areas in which a gap exists in literature and could be subjects of future studies are introduced.

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“…Using the variational principle described in Refs. [34,35], one can prove that the functional J( h) attains its stationary (minimum) value when h = h(x, c) solves Equation (9) with the boundary conditions (10). If we let h = h, Equation (13) reduces to:…”

Section: The Variational Approach To Plane Poiseuille and Thermal-cre...mentioning

confidence: 99%

“…In the last decades, the property of the TPD generation, due to a temperature gradient applied to a surface, started to be used for the development of microdevices like micro gas sensors [5,6], micropumps without moving parts and lubricant fluids [7][8][9][10] and micro gas chromatography columns [11][12][13]. The information about the TPD can also be used to calculate several physical quantities as the Eucken factor, the rotational collision number [14] and the heat conductivities of polar and non-polar polyatomic gases [15].…”

Section: Introductionmentioning

confidence: 99%

Extraction of Tangential Momentum and Normal Energy Accommodation Coefficients by Comparing Variational Solutions of the Boltzmann Equation with Experiments on Thermal Creep Gas Flow in Microchannels

Missoni

Yamaguchi

Graur

et al. 2021

Fluids

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In the present paper, we provide an analytical expression for the first- and second-order thermal slip coefficients, σ1,T and σ2,T, by means of a variational technique that applies to the integrodifferential form of the Boltzmann equation based on the true linearized collision operator for hard-sphere molecules. The Cercignani-Lampis scattering kernel of the gas-surface interaction has been considered in order to take into account the influence of the accommodation coefficients (αt, αn) on the slip parameters. Comparing our theoretical results with recent experimental data on the mass flow rate and the slip coefficient for five noble gases (helium, neon, argon, krypton, and xenon), we found out that there is a continuous set of values for the pair (αt, αn) which leads to the same thermal slip parameters. To uniquely determine the accommodation coefficients, we took into account a further series of measurements carried out with the same experimental apparatus, where the thermal molecular pressure exponent γ has been also evaluated. Therefore, the new method proposed in the present work for extracting the accommodation coefficients relies on two steps. First of all, since γ mainly depends on αt, we fix the tangential momentum accommodation coefficient in such a way as to obtain a fair agreement between theoretical and experimental results. Then, among the multiple pairs of variational solutions for (αt, αn), giving the same thermal slip coefficients (chosen to closely approximate the measurements), we select the unique pair with the previously determined value of αt. The analysis carried out in the present work confirms that both accommodation coefficients increase by increasing the molecular weight of the considered gases, as already highlighted in the literature.

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Thermally driven pumps and diodes in multistage assemblies consisting of microchannels with converging, diverging and uniform rectangular cross sections

Cited by 10 publications

References 57 publications

Numerical Study of Cavitation Characteristics through Butterfly Valve under Different Regulation Conditions

Numerical Study of Cavitation Characteristics through Butterfly Valve under Different Regulation Conditions

A review of rarefied gas flow in irregular micro/nanochannels

Extraction of Tangential Momentum and Normal Energy Accommodation Coefficients by Comparing Variational Solutions of the Boltzmann Equation with Experiments on Thermal Creep Gas Flow in Microchannels

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