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Keywords = Knudsen layer

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23 pages, 3812 KB  
Article
DSMC Analysis of DiskSat in Very Low Earth Orbits
by Máximo Castillo Rivas, Diego Vera Sepúlveda and Rodrigo Cassineli Palharini
Aerospace 2026, 13(4), 362; https://doi.org/10.3390/aerospace13040362 - 14 Apr 2026
Viewed by 1102
Abstract
Satellite containerization is a key factor in the expansion of the aerospace sector. In addition, the container provides a highly simplified launch interface, reducing the launch provider’s integration costs. In this scenario, DiskSats have been proposed as a new standard for a high-power-to-mass-ratio [...] Read more.
Satellite containerization is a key factor in the expansion of the aerospace sector. In addition, the container provides a highly simplified launch interface, reducing the launch provider’s integration costs. In this scenario, DiskSats have been proposed as a new standard for a high-power-to-mass-ratio platform that can be easily stacked within a launcher fairing. However, their behavior in Very Low Earth Orbits remains underexplored. The primary research objective of this study is to characterize the macroscopic aerothermodynamic behavior and aerodynamic footprint of a DiskSat platform operating in Very Low Earth Orbit (VLEO) at altitudes of 100, 150, and 200 km. At such altitudes, the continuum hypothesis is no longer valid, and a particle-based method should be used for computations in the rarefied-flow regime. In this way, the Direct Simulation Monte Carlo (DSMC) method was employed to analyze the flowfield structure around a DiskSat at different altitudes. In the present investigation, the Knudsen number associated with each altitude ranged from 0.14 to 240. According to the computational results, a compressed shock layer with higher temperature was observed over the DiskSat at an altitude of 100 km. However, the 200 km case shows a highly diffuse interaction that extends significantly upstream due to the larger mean free path. In addition, a thermally frozen, near-vacuum wake region is observed across all altitudes. These findings characterize the aerodynamic footprint of planar geometries, establishing a critical baseline for future analyses of orbital lifetime and stability in the transition and free-molecular regimes. Full article
(This article belongs to the Section Astronautics & Space Science)
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11 pages, 263 KB  
Article
The Knudsen Layer in the Heat Transport Beyond the Fourier Law: Application to the Wave Propagation at Nanoscale
by Isabella Carlomagno and Antonio Sellitto
Entropy 2025, 27(11), 1172; https://doi.org/10.3390/e27111172 - 20 Nov 2025
Viewed by 1115
Abstract
In agreement with the second law of thermodynamics, a new theoretical model for the description of the heat transfer at nanoscale in a rigid body is derived. The model introduces the concept of the Knudsen layer into non-equilibrium thermodynamics in order to better [...] Read more.
In agreement with the second law of thermodynamics, a new theoretical model for the description of the heat transfer at nanoscale in a rigid body is derived. The model introduces the concept of the Knudsen layer into non-equilibrium thermodynamics in order to better investigate how phonon–boundary scattering may influence the heat propagation at nanoscale. This paper, in particular, deepens the influence of the Knudsen layer on the speed of propagation of thermal waves. Full article
(This article belongs to the Section Thermodynamics)
18 pages, 878 KB  
Article
The Knudsen Layer in Modeling the Heat Transfer at Nanoscale: Bulk and Wall Contributions to the Local Heat Flux
by Carmelo Filippo Munafò, Martina Nunziata and Antonio Sellitto
Entropy 2025, 27(5), 469; https://doi.org/10.3390/e27050469 - 26 Apr 2025
Cited by 2 | Viewed by 1899
Abstract
Starting from the observation that the influence of the heat carriers’ boundary scattering on the heat flux is mainly felt in the zone near the system’s boundary, the characteristic dimension of which is of the order of the mean-free path of the heat [...] Read more.
Starting from the observation that the influence of the heat carriers’ boundary scattering on the heat flux is mainly felt in the zone near the system’s boundary, the characteristic dimension of which is of the order of the mean-free path of the heat carriers, in this paper, we introduce the concept of the Knudsen layer in the heat transport at nanoscale and regard the local heat flux as the final resultant of two different contributions: the bulk heat flux and the wall heat flux. In the framework of phonon hydrodynamics, we therefore, here, derive a theoretical model in agreement with the second law of thermodynamics that accounts for those two contributions. In steady states, we then predict both how the local heat flux behaves and how the thermal conductivity depends on the characteristic dimension of the system. This analysis is performed both in the case of a nanolayer and in the case of a nanowire. Full article
(This article belongs to the Section Thermodynamics)
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17 pages, 8686 KB  
Article
Modeling Non-Equilibrium Rarefied Gas Flows Past a Cross-Domain Reentry Unmanned Flight Vehicle Using a Hybrid Macro-/Mesoscopic Scheme
by Weiqi Yang, Jing Men, Bowen Xu, Haixia Ding and Jie Li
Drones 2025, 9(4), 239; https://doi.org/10.3390/drones9040239 - 24 Mar 2025
Cited by 1 | Viewed by 1463
Abstract
The cross-domain reentry unmanned flight vehicle passes through thin atmospheres and dense atmospheres when it comes across atmospheres in the near-space area. For the early transition regime, the classical macroscopic and mesoscopic approaches are either not accurate or computational too expensive. The hybrid [...] Read more.
The cross-domain reentry unmanned flight vehicle passes through thin atmospheres and dense atmospheres when it comes across atmospheres in the near-space area. For the early transition regime, the classical macroscopic and mesoscopic approaches are either not accurate or computational too expensive. The hybrid macro-/mesoscopic method is proposed for simulating rarefied gas flows past a cross-domain reentry spheroid–cone unmanned flight vehicle in the present study. The R26 moment scheme is applied in the main flow from a macroscopic point of view, and the discrete velocity method (DVM) is used for solving the Boltzmann equation from a mesoscopic point of view. The simulation results show that the hybrid macro-/mesoscopic scheme is well-suited for non-equilibrium rarefied gas flows past a cross-domain reentry unmanned flight vehicle. The results obtained in this study are consistent with benchmark results, with a maximum density error of 9%. The maximum errors of the heat transfer coefficient and pressure coefficient are 2% and 4.6%, respectively. In addition, as the Knudsen number (Kn) becomes larger, the thickness of the shock layer at the head of the flight vehicle becomes thicker, and non-equilibrium effects become more critical for the aircraft. Since the Boltzmann–Shakhov equation has only been solved close to the wall of the spacecraft, the computational cost can be considerably saved. Full article
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16 pages, 3140 KB  
Article
Study on Organo-Silica-Derived Membranes Using a Robeson-like Plot
by Lucas Bünger, Tim van Gestel, Tim Kurtz, Krassimir Garbev, Peter Stemmermann, Wilhelm A. Meulenberg, Olivier Guillon and Dieter Stapf
Membranes 2025, 15(3), 83; https://doi.org/10.3390/membranes15030083 - 5 Mar 2025
Viewed by 1829
Abstract
For industrial CO2 utilization, the supply of concentrated CO2 within a continuous, high-volume stream at high temperatures remains a substantial requirement. Membrane processes offer a simple and efficient method to provide CO2 in this form. While several organo-silica-based membranes have [...] Read more.
For industrial CO2 utilization, the supply of concentrated CO2 within a continuous, high-volume stream at high temperatures remains a substantial requirement. Membrane processes offer a simple and efficient method to provide CO2 in this form. While several organo-silica-based membranes have been developed for CO2/N2 separation under these conditions, there is no standardized framework guiding comparability and optimization. Therefore, we present these membranes in a Robeson-like plot across various temperatures. Utilizing a standard 1,2-bis(triethoxysilyl)-ethane (BTESE) precursor and a simplified sol–gel method, we prepared a microporous membrane layer and characterized it for an exemplary comparison. This characterization includes key parameters for mixed-gas applications: (1) temperature-dependent single- and mixed-gas permeances to observe interactions, (2) the impact of the driving forces in mixtures (vacuum and concentration) to distinguish between permselectivity and the separation factor clearly, and (3) influence of the support structure to enable permeability calculations at elevated temperatures. Furthermore, a quick interpretation method for assessing the membrane’s microstructure is presented. A qualitative microstructure assessment can be achieved by analyzing the temperature dependencies of the three major diffusion mechanisms that simultaneously occur—Knudsen, surface, and activated diffusion. Full article
(This article belongs to the Special Issue Advanced Membrane Materials for CO2 Capture and Separation)
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19 pages, 8492 KB  
Article
Simulation of Shale Gas Reservoir Production Considering the Effects of the Adsorbed Water Layer and Flow Differences
by Hua Yuan, Jianyi Liu, Qunchao Ding, Lu Jiang, Zhibin Liu, Wenting He and Yimin Wen
Processes 2024, 12(12), 2693; https://doi.org/10.3390/pr12122693 - 29 Nov 2024
Cited by 2 | Viewed by 2028
Abstract
Accurately describing the behavior of a gas-water two-phase flow in shale gas reservoirs is crucial for analyzing production dynamics in the field. Current research generally lacks consideration of the differences in physical properties and adsorption characteristics between the oleophilic organic matrix and the [...] Read more.
Accurately describing the behavior of a gas-water two-phase flow in shale gas reservoirs is crucial for analyzing production dynamics in the field. Current research generally lacks consideration of the differences in physical properties and adsorption characteristics between the oleophilic organic matrix and the hydrophilic inorganic matrix. This study considers the organic matrix system as a single-phase gas flow, while the inorganic matrix and fracture systems involve a gas-water two-phase flow. Taking into account the impact of the adsorbed water layer on permeability at the surface of nanoscale pores in an inorganic matrix, the model comprehensively incorporates multiple mechanisms such as adsorption-desorption, the slippage effect, and Knudsen diffusion in the organic matrix and clay minerals. A multiscale gas-water two-phase comprehensive flow model for shale gas reservoirs has been established, and the results of the numerical model were validated against commercial software and actual field data. Simulation results over 1000 days indicate that early production from gas wells is primarily supplied by fractures, whereas free gas or desorbed gas from inorganic and organic matrices gradually contributes to the flow during the middle and later stages of production. As the Langmuir pressure and volume in the organic matrix and clay minerals increase, so does the corresponding gas production. The adsorbed water layer on the surface of inorganic nanopores reduces permeability, leading to a decrease in single-well cumulative gas production by 8.41%. The impact of the adsorbed water layer on gas production cannot be overlooked. The simulation method proposed in this study provides theoretical support for analyzing the gas-water two-phase flow behavior in shale gas reservoirs. Full article
(This article belongs to the Section Chemical Processes and Systems)
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16 pages, 3489 KB  
Article
Hierarchical Modeling of the Thermal Insulation Performance of Novel Plasters with Aerogel Inclusions
by Eugene D. Skouras, Georgia Tsolou and Alexandros N. Kalarakis
Energies 2024, 17(23), 5898; https://doi.org/10.3390/en17235898 - 24 Nov 2024
Cited by 2 | Viewed by 1751
Abstract
Silica aerogel possesses a significantly lower thermal conductivity compared to still air at room temperature, thanks to its high porosity and advanced thermal and physical properties. It is extensively investigated for its potential use as an insulation material, usually being incorporated into other [...] Read more.
Silica aerogel possesses a significantly lower thermal conductivity compared to still air at room temperature, thanks to its high porosity and advanced thermal and physical properties. It is extensively investigated for its potential use as an insulation material, usually being incorporated into other matrix materials, such as cement plasters, to enhance the overall thermal performance with minimal weight load. The development of lightweight thermal insulation materials is a key step in reducing energy consumption in hot and cold environments during construction and in thermal equipment. The superior insulation capabilities of aerogels stem from their nanostructured SiO2 framework, which induces nanoscale rarefaction effects on the enclosed air near the SiO2 structure. This study reconstructed the nanostructured SiO2 network of modern aerogels using microscopy imaging and the literature data and integrated it into sophisticated heat transfer simulations at a microscopic level to predict its thermal performance. The simulation assumed conduction as the primary energy dissipation mechanism, incorporating local rarefaction effects based on kinetic theory approaches. SiO2 aggregates were modeled as interconnected strings of spherical beads, with variations in the aggregate size explored in a parametric study. Nanoscale rarefaction phenomena, such as slip wall and Knudsen diffusion, prevalent at these grain sizes and structures, were incorporated to refine the modeling approach. The degree of the aerogel content relative to the effective properties of the multiphasic material was then investigated systematically along the multilayered mortar thickness and on a representative multiphasic layer at the mesoscopic level. The results quantify the significant decrease in the thermal conductivity of the heterogeneous material as the porosity of the aerogel increased. The insulation performance of this aerogel incorporated into cement plasters was assessed with this hierarchical approach and validated against experimental data, providing insights for the optimization of the fabrication process and potential applications in construction. Full article
(This article belongs to the Special Issue Recent Advances in Computational Heat Transfer and Its Applications)
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26 pages, 8628 KB  
Article
On Thermal Insulation Properties of Various Foaming Materials Modified Fly Ash Based Geopolymers
by Yukun Ji, Quanming Ren, Xiaozhao Li, Peng Zhao and Veerle Vandeginste
Polymers 2023, 15(15), 3254; https://doi.org/10.3390/polym15153254 - 30 Jul 2023
Cited by 12 | Viewed by 3779
Abstract
Geopolymers can be used as a thermally insulated material because of their considerable porosity, whereas the combined effect of various modifying agents on their heat-insulating properties remains unexplored. Here, orthogonal experiments were carried out to evaluate the thermal insulation performance of fly ash [...] Read more.
Geopolymers can be used as a thermally insulated material because of their considerable porosity, whereas the combined effect of various modifying agents on their heat-insulating properties remains unexplored. Here, orthogonal experiments were carried out to evaluate the thermal insulation performance of fly ash geopolymer modified by phenolic resin, silica aerogel, and hydrogen peroxide. Moreover, variance analysis and range analysis were applied to estimate the influence of modifying agents on the thermal insulation performance of the geopolymer. The results demonstrate that the thermal conductivity of fly ash geopolymer significantly reduces (from 0.48 W/m·K to 0.12 W/m·K) due to the combined effect of the three modifying agents. Based on the variance analysis and range analysis, the optimum thermal conductivity ultimately reaches 0.08 W/m·K via a best composition scheme of the three modifying agents. Moreover, phenolic resin can facilitate the formation of a network structure and increase the porosity of micron pores (>1 μm). Hydrogen peroxide can be decomposed into O2 in an alkaline environment and leave large-diameter pores (>1 μm) during curing. Some silica aerogel is embedded in the geopolymer matrix as microspheres with extremely low thermal conductivity, whereas the rest of the silica aerogel may react with the alkali activator to form water, and subsequently leaves pores (>1 μm) after evaporation of water during the curing. In addition, a newly modified Maxwell–Euchen model using iterative calculation and considering the Knudsen effect (pores of micron or even nanometer scale) is proposed and validated by the experimental data. The foamed geopolymer in this research can be used as a reference for building insulation layer design. This research unravels phenolic resin-, silica aerogel-, and hydrogen peroxide-influenced thermal insulation mechanisms of geopolymer that may have impacts on deployment of a thermally insulating material in the construction field. Full article
(This article belongs to the Section Polymer Applications)
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22 pages, 11965 KB  
Article
CO2 Leakage Scenarios in Shale Overburden
by Gilda Currenti, Barbara Cantucci, Giordano Montegrossi, Rosalba Napoli, M. Shahir Misnan, M. Rashad Amir Rashidi, Zainol Affendi Abu Bakar, Zuhar Zahir Tuan Harith, Nabila Hannah Samsol Bahri and Noorbaizura Hashim
Minerals 2023, 13(8), 1016; https://doi.org/10.3390/min13081016 - 29 Jul 2023
Cited by 5 | Viewed by 2523
Abstract
Potential CO2 leakage from deep geologic reservoirs requires evaluation on a site-specific basis to assess risk and arrange mitigation strategies. In this study, a heterogeneous and realistic numerical model was developed to investigate CO2 migration pathways and uprising time in a [...] Read more.
Potential CO2 leakage from deep geologic reservoirs requires evaluation on a site-specific basis to assess risk and arrange mitigation strategies. In this study, a heterogeneous and realistic numerical model was developed to investigate CO2 migration pathways and uprising time in a shaly overburden, located in the Malaysian off-shore. Fluid flow and reactive transport simulations were performed by TOUGHREACT to evaluate the: (1) seepage through the caprock; (2) CO2-rich brine leakage through a fault connecting the reservoir with seabed. The effect of several factors, which may contribute to CO2 migration, including different rock types and permeability, Fickian and Knudsen diffusion and CO2 adsorption in the shales were investigated. Obtained results show that permeability mainly ruled CO2 uprising velocity and pathways. CO2 migrates upward by buoyancy without any important lateral leakages due to poor-connection of permeable layers and comparable values of vertical and horizontal permeability. Diffusive flux and the Knudsen flow are negligible with respect to the Darcy regime, despite the presence of shales. Main geochemical reactions deal with carbonate and pyrite weathering which easily reach saturation due to low permeability and allowing for re-precipitation as secondary phases. CO2 adsorption on shales together with dissolved CO2 constituted the main trapping mechanisms, although the former represents likely an overestimation due to estimated thermodynamic parameters. Developed models for both scenarios are validated by the good agreement with the pressure profiles recorded in the exploration wells and the seismic data along a fault (the F05 fault), suggesting that they can accurately reproduce the main processes occurring in the system. Full article
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23 pages, 5761 KB  
Article
A Combined Gas and Water Permeances Method for Revealing the Deposition Morphology of GO Grafting on Ceramic Membranes
by Evdokia Galata, Charitomeni M. Veziri, George V. Theodorakopoulos, George Em. Romanos and Evangelia A. Pavlatou
Membranes 2023, 13(7), 627; https://doi.org/10.3390/membranes13070627 - 28 Jun 2023
Cited by 1 | Viewed by 2095
Abstract
The adhesion enhancement of a graphene oxide (GO) layer on porous ceramic substrates is a crucial step towards developing a high-performance membrane for many applications. In this work, we have achieved the chemical anchoring of GO layers on custom-made macroporous disks, fabricated in [...] Read more.
The adhesion enhancement of a graphene oxide (GO) layer on porous ceramic substrates is a crucial step towards developing a high-performance membrane for many applications. In this work, we have achieved the chemical anchoring of GO layers on custom-made macroporous disks, fabricated in the lab by pressing α-Al2O3 powder. To this end, three different linkers, polydopamine (PDA), 3-Glycidoxypropyltrimethoxysilane (GPTMS) and (3-Aminopropyl) triethoxysilane (APTMS), were elaborated for their capacity to tightly bind the GO laminate on the ceramic membrane surface. The same procedure was replicated on cylindrical porous commercial ZrO2 substrates because of their potentiality for applications on a large scale. The gas permeance properties of the membranes were studied using helium at 25 °C as a probe molecule and further scrutinized in conjunction with water permeance results. Measurements with helium at 25 °C were chosen to avoid gas adsorption and surface diffusion mechanisms. This approach allowed us to draw conclusions on the deposition morphology of the GO sheets on the ceramic support, the mode of chemical bonding with the linker and the stability of the deposited GO laminate. Specifically, considering that He permeance is mostly affected by the pore structural characteristics, an estimation was initially made of the relative change in the pore size of the developed membranes compared to the bare substrate. This was achieved by interpreting the results via the Knudsen equation, which describes the gas permeance as being analogous to the third power of the pore radius. Subsequently, the calculated relative change in the pore size was inserted into the Hagen–Poiseuille equation to predict the respective water permeance ratio of the GO membranes to the bare substrate. The reason that the experimental water permeance values may deviate from the predicted ones is related to the different surface chemistry, i.e., the hydrophilicity or hydrophobicity that the composite membranes acquire after the chemical modification. Various characterization techniques were applied to study the morphological and physicochemical properties of the materials, like FESEM, XRD, DLS and Contact Angle. Full article
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10 pages, 3239 KB  
Communication
Seeded Synthesis of AlPO4-5 Membrane in Diluted Mother Liquor
by Jing Wang and Chao Ji
Membranes 2022, 12(12), 1284; https://doi.org/10.3390/membranes12121284 - 19 Dec 2022
Cited by 1 | Viewed by 2688
Abstract
AlPO4-5 with an AFI topology membrane on an a-alumina substrate has been fabricated continuously, without defects, and with high intergrowth. By using traditional hydrothermal methods in diluted mother liquor, an AlPO4-5 membrane has been produced by a simple second [...] Read more.
AlPO4-5 with an AFI topology membrane on an a-alumina substrate has been fabricated continuously, without defects, and with high intergrowth. By using traditional hydrothermal methods in diluted mother liquor, an AlPO4-5 membrane has been produced by a simple second growth synthesis. Scanning electron microscopy (SEM) revealed no defects in the prepared supporting film, and X-ray (XRD) diffraction confirmed the layer of molecular sieve AlPO4-5 on the porous support of α-alumina. In this study, various synthesis parameters were systematically examined. Based on H2, He, N2, CO2, and SF6 permeance results, the supported membranes display Knudsen diffusion behavior, and the membrane’s pervaporation properties of organic compounds (n-hexane, o-xylene, and TIPB) show minimized defects, verifying their high quality. Full article
(This article belongs to the Section Inorganic Membranes)
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9 pages, 1523 KB  
Article
A Mathematical Model for Sublimation of a Thin Film in Trace Explosive Detection Problem
by Olga B. Kudryashova and Sergey S. Titov
Molecules 2022, 27(22), 7939; https://doi.org/10.3390/molecules27227939 - 16 Nov 2022
Cited by 4 | Viewed by 2681
Abstract
Here, we introduce an advanced mathematical model for the sublimation of thin films of explosives. The model relies on the Hertz–Knudsen–Langmuir (HKL) equation that describes the vaporization rate of an explosive and controls the mass exchange between the surface and the ambient air. [...] Read more.
Here, we introduce an advanced mathematical model for the sublimation of thin films of explosives. The model relies on the Hertz–Knudsen–Langmuir (HKL) equation that describes the vaporization rate of an explosive and controls the mass exchange between the surface and the ambient air. The latest experimental data on sublimation and diffusion of 2,4,6-trinitrotoluene (TNT) monocrystals were factored in, as well as the data on the sublimation rate of hexogen (RDX), octogen (HMX), and picramide (TNA) traces. To advance the mathematical model we suggested previously, we took into account the structure of a substrate on which a thin explosive layer was deposited. The measurement problem of the sublimation rate and limits of an explosive arises from developing and advancing remote detection methods for explosives traces. Using mathematical modelling, we can identify a detectable quantity of a specific explosive under given conditions. We calculated the mass of the explosive in the air upon sublimation of thin explosive films from the surfaces over a wide range of the parameters in question and made conclusions regarding the application limits of the devised standoff trace explosive detection techniques. Full article
(This article belongs to the Topic Advances in Phase Change Materials)
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21 pages, 10720 KB  
Article
Ti3C2 MXene Membranes for Gas Separation: Influence of Heat Treatment Conditions on D-Spacing and Surface Functionalization
by Aline Alencar Emerenciano, Rubens Maribondo do Nascimento, Ana Paula Cysne Barbosa, Ke Ran, Wilhelm Albert Meulenberg and Jesus Gonzalez-Julian
Membranes 2022, 12(10), 1025; https://doi.org/10.3390/membranes12101025 - 21 Oct 2022
Cited by 70 | Viewed by 7566
Abstract
Two-dimensional (2D) MXene materials have recently been the focus of membrane research due to their unique properties, such as their single-atomic-layer thickness, flexibility, molecular filtration abilities and microstructural similarities with graphene, which is currently the most efficient precursor material for gas separation applications. [...] Read more.
Two-dimensional (2D) MXene materials have recently been the focus of membrane research due to their unique properties, such as their single-atomic-layer thickness, flexibility, molecular filtration abilities and microstructural similarities with graphene, which is currently the most efficient precursor material for gas separation applications. In addition, the potential to process nanoscale channels has motivated investigations of parameters which can improve membrane permeability and selectivity. Interlayer spacing and defects, which are still challenging to control, are among the most crucial parameters for membrane performance. Herein, the effect of heat treatment on the d-spacing of MXene nanosheets and the surface functionalization of nanolayers was shown regarding its impact on the gas diffusion mechanism. The distance of the layers was reduced by a factor of over 10 from 0.345 nm to 0.024 nm, the defects were reduced, and the surface functionalization was maintained upon treatment of the Ti3C2 membrane at 500 °C under an Ar/H2 atmosphere as compared to 80 °C under vacuum. This led to a change from Knudsen diffusion to molecular sieving, as demonstrated by single-gas permeation tests at room temperature. Overall, this work shows a simple and promising way to improve H2/CO2 selectivity via temperature treatment under a controlled atmosphere. Full article
(This article belongs to the Topic Membrane Separation Technology Research)
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21 pages, 7791 KB  
Article
Compressibility and Rarefaction Effects on Particle Dynamics and Heat Transfer in Aerosol Deposition Process
by Bahareh Farahani, Mehdi Jadidi and Sara Moghtadernejad
Coatings 2022, 12(10), 1578; https://doi.org/10.3390/coatings12101578 - 19 Oct 2022
Cited by 9 | Viewed by 3719
Abstract
The aerosol deposition (AD) method is an emerging coating technique to create a dense ceramic or metal layer on a substrate through the kinetic impaction and cumulative deposition of ultrafine solid particles under near-vacuum conditions. Prediction of the particles’ impact velocity and temperature [...] Read more.
The aerosol deposition (AD) method is an emerging coating technique to create a dense ceramic or metal layer on a substrate through the kinetic impaction and cumulative deposition of ultrafine solid particles under near-vacuum conditions. Prediction of the particles’ impact velocity and temperature during the AD process is crucial in enhancing the coating quality. In the present work, a two-way coupled Eulerian-Lagrangian model is developed for an AD system equipped with a converging-barrel nozzle to simulate the supersonic gas flow, particle in-flight behavior, as well as particle conditions upon impact on a flat substrate. The focus of the current study is to understand the effects of compressibility and rarefaction on particle velocity and temperature during the AD process. The effects of compressibility and rarefaction can be assessed using the Mach and Knudsen numbers. Therefore, different models for the drag coefficient and the heat transfer coefficient that take into account the Knudsen, Mach, and Reynolds number effects are implemented into the computational fluid dynamics (CFD) models. The results show that compressibility and rarefaction have significant influence on the particle temperature and velocity. As the particle size reduces, the effects of compressibility and rarefaction become more important. Full article
(This article belongs to the Section Surface Characterization, Deposition and Modification)
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20 pages, 13508 KB  
Article
Numerical Simulation of Well Type Optimization in Tridimensional Development of Multi-Layer Shale Gas Reservoir
by Tao Huang, Xin Liao, Zhaoqin Huang, Fuquan Song and Renyi Wang
Energies 2022, 15(18), 6529; https://doi.org/10.3390/en15186529 - 7 Sep 2022
Cited by 3 | Viewed by 2674
Abstract
Aimed at the development of shale gas reservoirs with large reservoir thickness and multiple layers, this paper carried out a numerical simulation study on the optimization of three different well types: horizontal well, deviated well, and vertical well. To make the model more [...] Read more.
Aimed at the development of shale gas reservoirs with large reservoir thickness and multiple layers, this paper carried out a numerical simulation study on the optimization of three different well types: horizontal well, deviated well, and vertical well. To make the model more in line with the characteristics of shale gas reservoirs, a two-phase gas–water seepage mathematical model of shale gas reservoirs was established, considering the adsorption and desorption of shale gas, Knudsen diffusion effect, and stress sensitivity effect. The embedded discrete fracture model was used to describe hydraulic fracture and natural fracture. Based on Fortran language, a numerical simulator for multi-layer development of shale gas reservoirs was compiled, and the calculation results were compared with the actual production data of Barnett shale gas reservoirs to verify the reliability of the numerical simulator. The spread range of hydraulic fractures in the reservoir with different natural fracture densities is calculated by the simulation to determine well spacing and fracture spacing. The orthogonal experimental design method is then used to optimize the best combination of well spacing and fracture spacing for different well types. The results show that the well productivity of the high-density (0.012 m/m2) natural fractures reservoir > the well productivity of the medium-density (0.006 m/m2) natural fractures reservoir > the well productivity of the low-density (0.001 m/m2) natural fractures reservoir. According to the design of the orthogonal test, it can be seen that the most significant factor affecting the productivity of horizontal wells is the fracture spacing in the Y direction. For deviated wells and vertical wells, the X-direction well spacing has the greatest impact on its productivity. Full article
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