The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression
The study of non-wetting liquid transport in a nanoporous medium is stimulated by the possible use of this process to absorb or accumulate mechanical energy. The filling of nanopores of suspended particles with a non-wetting liquid under decay of the unstable state, when the pressure increase rate i...
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MDPI AG
2021-01-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/11/1/102 |
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| author | Vladimir Borman Anton Belogorlov Vladimir Tronin |
| author_facet | Vladimir Borman Anton Belogorlov Vladimir Tronin |
| author_sort | Vladimir Borman |
| collection | DOAJ |
| description | The study of non-wetting liquid transport in a nanoporous medium is stimulated by the possible use of this process to absorb or accumulate mechanical energy. The filling of nanopores of suspended particles with a non-wetting liquid under decay of the unstable state, when the pressure increase rate is much higher than the rate of volume change, is studied. Based on the new experimental data and a theoretical model of the interacting modes of the spontaneous filling and filling under rapid compression, a picture of the percolation transition and a mechanism of liquid transport under such conditions are proposed. It is shown that a new dynamic filling threshold <inline-formula><math display="inline"><semantics><msub><mi>P</mi><mn>0</mn></msub></semantics></math></inline-formula> is reached. It is shown that the filling of the porous medium is the result of the slow mode of impact compression when the fast mode of spontaneous filling is continuously adjusted to the slow mode on a small time scale. The theoretical model of the interacting modes is based on the solving of a system of kinetic equations for the distribution functions <inline-formula><math display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi>F</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> clusters of filled pores under rapid compression, respectively. It is shown that filling at <inline-formula><math display="inline"><semantics><mrow><mi>P</mi><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mrow></semantics></math></inline-formula> corresponds to the non-dissipative transport of liquid on a time scale smaller than the characteristic filling time. The proposed model quantitatively describes the experimental data. So, the response of suspension to impact is characterized by the positive feedback. |
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| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T13:29:37Z |
| publishDate | 2021-01-01 |
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| series | Nanomaterials |
| spelling | doaj.art-0151334ff983412e9161d3e5fe7fda3c2023-11-21T08:05:12ZengMDPI AGNanomaterials2079-49912021-01-0111110210.3390/nano11010102The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid CompressionVladimir Borman0Anton Belogorlov1Vladimir Tronin2Polymeric Membranes Laboratory, A.V. Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Leninsky Prospekt, 29, 119991 Moscow, RussiaPolymeric Membranes Laboratory, A.V. Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, Leninsky Prospekt, 29, 119991 Moscow, RussiaMolecular Physics Department, National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409 Moscow, RussiaThe study of non-wetting liquid transport in a nanoporous medium is stimulated by the possible use of this process to absorb or accumulate mechanical energy. The filling of nanopores of suspended particles with a non-wetting liquid under decay of the unstable state, when the pressure increase rate is much higher than the rate of volume change, is studied. Based on the new experimental data and a theoretical model of the interacting modes of the spontaneous filling and filling under rapid compression, a picture of the percolation transition and a mechanism of liquid transport under such conditions are proposed. It is shown that a new dynamic filling threshold <inline-formula><math display="inline"><semantics><msub><mi>P</mi><mn>0</mn></msub></semantics></math></inline-formula> is reached. It is shown that the filling of the porous medium is the result of the slow mode of impact compression when the fast mode of spontaneous filling is continuously adjusted to the slow mode on a small time scale. The theoretical model of the interacting modes is based on the solving of a system of kinetic equations for the distribution functions <inline-formula><math display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mi>F</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> clusters of filled pores under rapid compression, respectively. It is shown that filling at <inline-formula><math display="inline"><semantics><mrow><mi>P</mi><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mrow></semantics></math></inline-formula> corresponds to the non-dissipative transport of liquid on a time scale smaller than the characteristic filling time. The proposed model quantitatively describes the experimental data. So, the response of suspension to impact is characterized by the positive feedback.https://www.mdpi.com/2079-4991/11/1/102porous mediumnon-wetting liquidimpactmetastable state |
| spellingShingle | Vladimir Borman Anton Belogorlov Vladimir Tronin The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression Nanomaterials porous medium non-wetting liquid impact metastable state |
| title | The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression |
| title_full | The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression |
| title_fullStr | The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression |
| title_full_unstemmed | The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression |
| title_short | The Formation and Decay of an Unstable State of a Suspension of Hydrophobic Nanoporous Particles under Rapid Compression |
| title_sort | formation and decay of an unstable state of a suspension of hydrophobic nanoporous particles under rapid compression |
| topic | porous medium non-wetting liquid impact metastable state |
| url | https://www.mdpi.com/2079-4991/11/1/102 |
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