A methodology to analyse the angular, radial and regional porosities of a cylindrical packed bed of spheres
•Vertical line-based approach to calculate angular, radial and regional porosities.•Methodology validated against analytical and published results.•Determine angular variation in porosity for cylindrical planes and wedges.•Determine radial variation in porosity for radial planes and wedges.•3D varia...
Gespeichert in:
| Veröffentlicht in: | Nuclear engineering and design Jg. 392; S. 111766 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
Elsevier B.V
01.06.2022
Elsevier BV |
| Schlagworte: | |
| ISSN: | 0029-5493, 1872-759X |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | •Vertical line-based approach to calculate angular, radial and regional porosities.•Methodology validated against analytical and published results.•Determine angular variation in porosity for cylindrical planes and wedges.•Determine radial variation in porosity for radial planes and wedges.•3D variation in porosity of angularly, radially and axially defined regions.
This paper proposes a vertical line-based methodology for the calculation of the porosity of packed beds of spheres. The results for the overall porosity, angular variation in porosity and tangentially averaged radial variation in porosity obtained through the use of this methodology are compared with the results of pre-existing methodologies and found to be in very good agreement, validating the vertical line-based methodology. Building upon this; the angular wedge porosities and angular plane porosities; the radial variation in porosity at different angular planes and the tangentially averaged porosities; and the regional porosities and grid porosities were evaluated for seven packed beds with different sized diameter aspect ratios. From the evaluation of the porosity results for specific points throughout these packed beds, it was found that the vertical line-based methodology has the capability to provide a detailed analysis of the porosity of a packed bed. It is shown that dividing a packed bed into sections, based on axial height, radial range and angular range, can be employed in the calculation of the 3D variation in porosity throughout a packed bed. |
|---|---|
| AbstractList | •Vertical line-based approach to calculate angular, radial and regional porosities.•Methodology validated against analytical and published results.•Determine angular variation in porosity for cylindrical planes and wedges.•Determine radial variation in porosity for radial planes and wedges.•3D variation in porosity of angularly, radially and axially defined regions.
This paper proposes a vertical line-based methodology for the calculation of the porosity of packed beds of spheres. The results for the overall porosity, angular variation in porosity and tangentially averaged radial variation in porosity obtained through the use of this methodology are compared with the results of pre-existing methodologies and found to be in very good agreement, validating the vertical line-based methodology. Building upon this; the angular wedge porosities and angular plane porosities; the radial variation in porosity at different angular planes and the tangentially averaged porosities; and the regional porosities and grid porosities were evaluated for seven packed beds with different sized diameter aspect ratios. From the evaluation of the porosity results for specific points throughout these packed beds, it was found that the vertical line-based methodology has the capability to provide a detailed analysis of the porosity of a packed bed. It is shown that dividing a packed bed into sections, based on axial height, radial range and angular range, can be employed in the calculation of the 3D variation in porosity throughout a packed bed. This paper proposes a vertical line-based methodology for the calculation of the porosity of packed beds of spheres. The results for the overall porosity, angular variation in porosity and tangentially averaged radial variation in porosity obtained through the use of this methodology are compared with the results of pre-existing methodologies and found to be in very good agreement, validating the vertical line-based methodology. Building upon this; the angular wedge porosities and angular plane porosities; the radial variation in porosity at different angular planes and the tangentially averaged porosities; and the regional porosities and grid porosities were evaluated for seven packed beds with different sized diameter aspect ratios. From the evaluation of the porosity results for specific points throughout these packed beds, it was found that the vertical line-based methodology has the capability to provide a detailed analysis of the porosity of a packed bed. It is shown that dividing a packed bed into sections, based on axial height, radial range and angular range, can be employed in the calculation of the 3D variation in porosity throughout a packed bed. |
| ArticleNumber | 111766 |
| Author | Bester, P.M. du Toit, C.G. |
| Author_xml | – sequence: 1 givenname: P.M. surname: Bester fullname: Bester, P.M. – sequence: 2 givenname: C.G. surname: du Toit fullname: du Toit, C.G. email: jat.dutoit@nwu.ac.za |
| BookMark | eNqNkEtLAzEUhYMoWB-_wYBbpyaZRyYLF0V8geBGwV24Te60qeOkJqnQf2-Gigs3Ggi54Z5zuec7IvuDH5CQM86mnPHmcjUdNgaHhcU4FUyIKedcNs0emfBWikLW6nWfTBgTqqgrVR6SoxhXbDxKTMjbjL5jWnrre7_Y0uQpDNBvI9K0xFwvNj2ECxrAOujz39KAC-ezhq598NElh5H6jgI1294NNjgz9sC8oaXzfHMvrpcYMJ6Qgw76iKff7zF5ub15vr4vHp_uHq5nj4URskyFqMqykqZkYJoOUdZQSzZHaOs58oZBa-atUICoVIdGtMoqkFUuczyjWFMek_Pd3HXwHxuMSa_8JuSVoxZNK9uyqsSoutqpTI4RA3bauAQpZ0sBXK850yNfvdI_fPXIV-_4Zr_85V8H9w5h-w_nbOfEDOHTYdDROBwMWhfQJG29-3PGF2EhniY |
| CitedBy_id | crossref_primary_10_3390_mca27050079 crossref_primary_10_1016_j_nucengdes_2022_112124 crossref_primary_10_1016_j_energy_2025_136036 crossref_primary_10_1016_j_fusengdes_2024_114658 crossref_primary_10_3390_catal12101120 |
| Cites_doi | 10.1002/aic.690080319 10.1016/j.nucengdes.2019.110451 10.1016/j.powtec.2017.06.061 10.1016/S0032-5910(00)00374-0 10.5465/AMBPP.2021.14544abstract 10.1021/ie801548h 10.1016/j.powtec.2018.10.017 10.1016/j.nucengdes.2014.02.010 10.1016/j.powtec.2005.06.002 10.1016/0032-5910(92)80045-X 10.1016/j.powtec.2010.07.007 10.1016/j.nucengdes.2014.02.022 10.1016/j.powtec.2017.05.033 10.1016/j.nucengdes.2021.111438 10.1016/j.nucengdes.2016.10.009 10.1002/cjce.5450750404 10.1016/0032-5910(83)85022-0 10.1016/j.powtec.2012.06.013 10.1016/j.powtec.2006.03.022 10.1016/j.powtec.2020.11.026 10.1002/aic.690440225 |
| ContentType | Journal Article |
| Copyright | 2022 Elsevier B.V. Copyright Elsevier BV Jun 2022 |
| Copyright_xml | – notice: 2022 Elsevier B.V. – notice: Copyright Elsevier BV Jun 2022 |
| DBID | AAYXX CITATION 7SP 7ST 7TB 8FD C1K FR3 KR7 L7M SOI |
| DOI | 10.1016/j.nucengdes.2022.111766 |
| DatabaseName | CrossRef Electronics & Communications Abstracts Environment Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Environmental Sciences and Pollution Management Engineering Research Database Civil Engineering Abstracts Advanced Technologies Database with Aerospace Environment Abstracts |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts Engineering Research Database Environment Abstracts Advanced Technologies Database with Aerospace Environmental Sciences and Pollution Management |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1872-759X |
| ExternalDocumentID | 10_1016_j_nucengdes_2022_111766 S0029549322001200 |
| GroupedDBID | --K --M -~X .~1 0R~ 123 1B1 1RT 1~. 1~5 29N 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAHCO AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARJD AATTM AAXKI AAXUO ABFNM ABJNI ABMAC ABWVN ABXDB ACDAQ ACGFS ACIWK ACNNM ACRLP ACRPL ADBBV ADEZE ADMUD ADNMO ADTZH AEBSH AECPX AEIPS AEKER AENEX AFJKZ AFRAH AFTJW AGHFR AGUBO AGYEJ AHHHB AHIDL AHJVU AIEXJ AIKHN AITUG AKRWK ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU ASPBG AVWKF AXJTR AZFZN BELTK BJAXD BKOJK BLXMC BNPGV CS3 DU5 EBS EFJIC EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HME HVGLF HZ~ IHE J1W JARJE JJJVA KOM LY6 LY7 LZ3 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 PC. Q38 R2- RIG RNS ROL RPZ SAC SDF SDG SES SET SEW SHN SPC SPCBC SSH SSR SST SSZ T5K TN5 UHS WUQ XPP ZMT ~02 ~G- 9DU AAYWO AAYXX ACLOT ACVFH ADCNI AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP APXCP CITATION EFKBS EFLBG ~HD 7SP 7ST 7TB 8FD AGCQF C1K FR3 KR7 L7M SOI |
| ID | FETCH-LOGICAL-c273t-243347c30ac6fee75a570bea85be160a8cb829aee99fec289d9a74fec549c9063 |
| ISICitedReferencesCount | 5 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000805959800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0029-5493 |
| IngestDate | Wed Aug 13 03:19:22 EDT 2025 Tue Nov 18 22:00:51 EST 2025 Sat Nov 29 07:27:01 EST 2025 Sun Apr 06 06:54:19 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Tangential porosity Angular porosity Packed bed Radial porosity Regional Porosity |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c273t-243347c30ac6fee75a570bea85be160a8cb829aee99fec289d9a74fec549c9063 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2687834426 |
| PQPubID | 2045424 |
| ParticipantIDs | proquest_journals_2687834426 crossref_citationtrail_10_1016_j_nucengdes_2022_111766 crossref_primary_10_1016_j_nucengdes_2022_111766 elsevier_sciencedirect_doi_10_1016_j_nucengdes_2022_111766 |
| PublicationCentury | 2000 |
| PublicationDate | June 2022 2022-06-00 20220601 |
| PublicationDateYYYYMMDD | 2022-06-01 |
| PublicationDate_xml | – month: 06 year: 2022 text: June 2022 |
| PublicationDecade | 2020 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Nuclear engineering and design |
| PublicationYear | 2022 |
| Publisher | Elsevier B.V Elsevier BV |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier BV |
| References | Giese, Rottschäfer, Vortmeyer (b0050) 1998; 44 Mueller (b0095) 2010; 203 Suikkanen, Ritvanen, Jalali, Kyrki-Rajamäki (b0120) 2014; 273 Mueller (b0100) 2012; 229 Auwerda, G. J., Kloosterman, J.L., Winkelman, A.J.M., Groen, J. and Van Dijk, V. (2010) ‘Comparison of experiments and calculations of void fraction distributions in randomly stacked pebble beds’ Du Toit (b0045) 2020; 359 Goodling, Vachon, Stelpflug, Ying, Khader (b0055) 1983; 35 Du Toit, C. G. (2002) ‘Porosity of the Pebble-Bed Core’, in Yang, Gui, Tu, Jiang (b0135) 2014; 270 Mueller (b0090) 2005; 159 von Seckendorff, J., Achterhold, K., Pfeiffer, F., Fischer, R. and Hinrichsen, O. (2021) ‘Experimental and numerical analysis of void structure in random packed beds of spheres’, 380, pp. 613–628. Mueller (b0085) 1997; 75 Kreyzig, E. (1999) Bai, Theuerkauf, Gillis, Witt (b0015) 2009; 48 Mueller (b0080) 1992; 72 Al Falahi, Al-Dahhan (b0005) 2016; 310 Reimann, Vicente, Brun, Ferrero, Gan, Rack (b0110) 2017; 318 Theuerkauf, Witt, Schwesig (b0125) 2006; 165 3, pp. 1897–1909. Hamzah, Ookawara, Yoshikawa, Matsumoto (b0065) 2020; 151 Bester, Du Toit, Potgieter (b0025) 2021; 383 Sederman, Alexander, Gladden (b0115) 2001; 117 . Mariani, Massa, Martinez, Barreto (b0075) 2000; 78 8th edn. John Wiley & Sons. Petten, Netherlands, pp. 5–9. Available at Guo, Sun, Zhang, Ding, Cao (b0060) 2017; 319 R.F. Benenati C.B. Brosilow Void Fraction in Beds of spheres AIChE Journal 8 3 1962 359 361 Available at Du Toit, C.G. (2019a) ‘Analysing the porosity of a pebble bed core using a combined analytical and numerical approach’, In: Proceedings of the 2019 International Congress on Advances in Nuclear Power Plants (ICAPP 2019). Juan-les-pins, France. Mueller, G. E. (2021) ‘Personal communcation’. Du Toit (b0040) 2019; 342 Mueller (10.1016/j.nucengdes.2022.111766_b0080) 1992; 72 Mueller (10.1016/j.nucengdes.2022.111766_b0095) 2010; 203 10.1016/j.nucengdes.2022.111766_b0020 Bester (10.1016/j.nucengdes.2022.111766_b0025) 2021; 383 Bai (10.1016/j.nucengdes.2022.111766_b0015) 2009; 48 Mueller (10.1016/j.nucengdes.2022.111766_b0090) 2005; 159 Theuerkauf (10.1016/j.nucengdes.2022.111766_b0125) 2006; 165 Du Toit (10.1016/j.nucengdes.2022.111766_b0045) 2020; 359 Al Falahi (10.1016/j.nucengdes.2022.111766_b0005) 2016; 310 Goodling (10.1016/j.nucengdes.2022.111766_b0055) 1983; 35 Suikkanen (10.1016/j.nucengdes.2022.111766_b0120) 2014; 273 Du Toit (10.1016/j.nucengdes.2022.111766_b0040) 2019; 342 Hamzah (10.1016/j.nucengdes.2022.111766_b0065) 2020; 151 Mueller (10.1016/j.nucengdes.2022.111766_b0100) 2012; 229 10.1016/j.nucengdes.2022.111766_b0035 Sederman (10.1016/j.nucengdes.2022.111766_b0115) 2001; 117 10.1016/j.nucengdes.2022.111766_b0130 10.1016/j.nucengdes.2022.111766_b0030 10.1016/j.nucengdes.2022.111766_b0010 10.1016/j.nucengdes.2022.111766_b0070 Mariani (10.1016/j.nucengdes.2022.111766_b0075) 2000; 78 Guo (10.1016/j.nucengdes.2022.111766_b0060) 2017; 319 Reimann (10.1016/j.nucengdes.2022.111766_b0110) 2017; 318 10.1016/j.nucengdes.2022.111766_b0105 Giese (10.1016/j.nucengdes.2022.111766_b0050) 1998; 44 Mueller (10.1016/j.nucengdes.2022.111766_b0085) 1997; 75 Yang (10.1016/j.nucengdes.2022.111766_b0135) 2014; 270 |
| References_xml | – volume: 318 start-page: 471 year: 2017 end-page: 483 ident: b0110 article-title: X-ray tomography investigations of mono-sized sphere packing structures in cylindrical containers publication-title: Powder Technol. – volume: 383 year: 2021 ident: b0025 article-title: A numerical analysis of the porosity of the HTR-10 packed pebble bed publication-title: Nucl. Eng. Des. – volume: 270 start-page: 404 year: 2014 end-page: 411 ident: b0135 article-title: 3D DEM simulation and analysis of void fraction distribution in a pebble bed high temperature reactor publication-title: Nucl. Eng. Des. – volume: 342 start-page: 475 year: 2019 end-page: 485 ident: b0040 article-title: Analysing the porous structure of packed beds of spheres using a semi-analytical approach publication-title: Powder Technol. – volume: 35 start-page: 23 year: 1983 end-page: 29 ident: b0055 article-title: Radial porosity distribution in cylindrical beds packed with spheres publication-title: Powder Technol. – volume: 319 start-page: 445 year: 2017 end-page: 451 ident: b0060 article-title: Radial porosity peak at the centerline of packed beds with small tube to particle diameter ratios publication-title: Powder Technol. – reference: Auwerda, G. J., Kloosterman, J.L., Winkelman, A.J.M., Groen, J. and Van Dijk, V. (2010) ‘Comparison of experiments and calculations of void fraction distributions in randomly stacked pebble beds’, – reference: R.F. Benenati C.B. Brosilow Void Fraction in Beds of spheres AIChE Journal 8 3 1962 359 361 Available at: – reference: Du Toit, C. G. (2002) ‘Porosity of the Pebble-Bed Core’, in – reference: , 3, pp. 1897–1909. – volume: 72 start-page: 269 year: 1992 end-page: 275 ident: b0080 article-title: Radial void fraction distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers publication-title: Powder Technol. – reference: . 8th edn. John Wiley & Sons. – volume: 165 start-page: 92 year: 2006 end-page: 99 ident: b0125 article-title: Analysis of particle porosity distribution in fixed beds using the discrete element method publication-title: Powder Technol. – reference: Du Toit, C.G. (2019a) ‘Analysing the porosity of a pebble bed core using a combined analytical and numerical approach’, In: Proceedings of the 2019 International Congress on Advances in Nuclear Power Plants (ICAPP 2019). Juan-les-pins, France. – volume: 151 year: 2020 ident: b0065 article-title: Numerical study on porosity distribution and hydrodynamics of packed bed in narrow square channels publication-title: Chemical Engineering & Process Intensification – volume: 273 start-page: 24 year: 2014 end-page: 32 ident: b0120 article-title: Discrete element modelling of pebble packing in pebble bed reactors publication-title: Nucl. Eng. Des. – volume: 78 start-page: 133 year: 2000 end-page: 1137 ident: b0075 article-title: Computing radial packing properties from the distribution of particle centers publication-title: Can. J. Chem. Eng. – volume: 159 start-page: 105 year: 2005 end-page: 110 ident: b0090 article-title: Numerically packing spheres in cylinders publication-title: Powder Technol. – reference: Mueller, G. E. (2021) ‘Personal communcation’. – reference: . Petten, Netherlands, pp. 5–9. Available at: – reference: . – reference: Kreyzig, E. (1999) – volume: 75 start-page: 677 year: 1997 end-page: 683 ident: b0085 article-title: Angular Porosity Distributions in Fixed Packed Beds of Low Diameter Aspect Ratio publication-title: Can. J. Chem. Eng. – volume: 48 start-page: 4060 year: 2009 end-page: 4074 ident: b0015 article-title: A coupled DEM and CFD simulation of flow field and pressure drop in fixed bed reactor with randomly packed catalyst particles publication-title: Ind. Eng. Chem. Res. – volume: 117 start-page: 255 year: 2001 end-page: 269 ident: b0115 article-title: Structure of packed beds probed by Magnetic Resonance Imaging publication-title: Powder Technol. – volume: 203 start-page: 626 year: 2010 end-page: 633 ident: b0095 article-title: Radial porosity in packed beds of spheres publication-title: Powder Technol. – volume: 229 start-page: 90 year: 2012 end-page: 96 ident: b0100 article-title: A simple method for determining sphere packed bed radial porosity publication-title: Powder Technol. – reference: von Seckendorff, J., Achterhold, K., Pfeiffer, F., Fischer, R. and Hinrichsen, O. (2021) ‘Experimental and numerical analysis of void structure in random packed beds of spheres’, 380, pp. 613–628. – volume: 359 year: 2020 ident: b0045 article-title: ‘Porous structure of cylindrical packed beds with aspect ratios between 1 and 2’ publication-title: Nucl. Eng. Des. – volume: 44 start-page: 484 year: 1998 end-page: 490 ident: b0050 article-title: Measured and Modeled Superficial Flow Profiles in Packed Beds with Liquid Flow publication-title: AIChE J. – volume: 310 start-page: 231 year: 2016 end-page: 246 ident: b0005 article-title: Experimental investigation of the pebble bed structure by using gamma ray tomography publication-title: Nucl. Eng. Des. – ident: 10.1016/j.nucengdes.2022.111766_b0020 doi: 10.1002/aic.690080319 – volume: 359 year: 2020 ident: 10.1016/j.nucengdes.2022.111766_b0045 article-title: ‘Porous structure of cylindrical packed beds with aspect ratios between 1 and 2’ publication-title: Nucl. Eng. Des. doi: 10.1016/j.nucengdes.2019.110451 – volume: 319 start-page: 445 year: 2017 ident: 10.1016/j.nucengdes.2022.111766_b0060 article-title: Radial porosity peak at the centerline of packed beds with small tube to particle diameter ratios publication-title: Powder Technol. doi: 10.1016/j.powtec.2017.06.061 – volume: 117 start-page: 255 issue: 3 year: 2001 ident: 10.1016/j.nucengdes.2022.111766_b0115 article-title: Structure of packed beds probed by Magnetic Resonance Imaging publication-title: Powder Technol. doi: 10.1016/S0032-5910(00)00374-0 – ident: 10.1016/j.nucengdes.2022.111766_b0105 doi: 10.5465/AMBPP.2021.14544abstract – volume: 48 start-page: 4060 issue: 8 year: 2009 ident: 10.1016/j.nucengdes.2022.111766_b0015 article-title: A coupled DEM and CFD simulation of flow field and pressure drop in fixed bed reactor with randomly packed catalyst particles publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie801548h – ident: 10.1016/j.nucengdes.2022.111766_b0010 – ident: 10.1016/j.nucengdes.2022.111766_b0035 – volume: 342 start-page: 475 year: 2019 ident: 10.1016/j.nucengdes.2022.111766_b0040 article-title: Analysing the porous structure of packed beds of spheres using a semi-analytical approach publication-title: Powder Technol. doi: 10.1016/j.powtec.2018.10.017 – volume: 270 start-page: 404 year: 2014 ident: 10.1016/j.nucengdes.2022.111766_b0135 article-title: 3D DEM simulation and analysis of void fraction distribution in a pebble bed high temperature reactor publication-title: Nucl. Eng. Des. doi: 10.1016/j.nucengdes.2014.02.010 – volume: 78 start-page: 133 year: 2000 ident: 10.1016/j.nucengdes.2022.111766_b0075 article-title: Computing radial packing properties from the distribution of particle centers publication-title: Can. J. Chem. Eng. – volume: 159 start-page: 105 issue: 2 year: 2005 ident: 10.1016/j.nucengdes.2022.111766_b0090 article-title: Numerically packing spheres in cylinders publication-title: Powder Technol. doi: 10.1016/j.powtec.2005.06.002 – volume: 72 start-page: 269 issue: 3 year: 1992 ident: 10.1016/j.nucengdes.2022.111766_b0080 article-title: Radial void fraction distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers publication-title: Powder Technol. doi: 10.1016/0032-5910(92)80045-X – volume: 203 start-page: 626 issue: 3 year: 2010 ident: 10.1016/j.nucengdes.2022.111766_b0095 article-title: Radial porosity in packed beds of spheres publication-title: Powder Technol. doi: 10.1016/j.powtec.2010.07.007 – volume: 273 start-page: 24 year: 2014 ident: 10.1016/j.nucengdes.2022.111766_b0120 article-title: Discrete element modelling of pebble packing in pebble bed reactors publication-title: Nucl. Eng. Des. doi: 10.1016/j.nucengdes.2014.02.022 – volume: 318 start-page: 471 issue: August year: 2017 ident: 10.1016/j.nucengdes.2022.111766_b0110 article-title: X-ray tomography investigations of mono-sized sphere packing structures in cylindrical containers publication-title: Powder Technol. doi: 10.1016/j.powtec.2017.05.033 – volume: 151 year: 2020 ident: 10.1016/j.nucengdes.2022.111766_b0065 article-title: Numerical study on porosity distribution and hydrodynamics of packed bed in narrow square channels publication-title: Chemical Engineering & Process Intensification – volume: 383 year: 2021 ident: 10.1016/j.nucengdes.2022.111766_b0025 article-title: A numerical analysis of the porosity of the HTR-10 packed pebble bed publication-title: Nucl. Eng. Des. doi: 10.1016/j.nucengdes.2021.111438 – volume: 310 start-page: 231 year: 2016 ident: 10.1016/j.nucengdes.2022.111766_b0005 article-title: Experimental investigation of the pebble bed structure by using gamma ray tomography publication-title: Nucl. Eng. Des. doi: 10.1016/j.nucengdes.2016.10.009 – volume: 75 start-page: 677 issue: 4 year: 1997 ident: 10.1016/j.nucengdes.2022.111766_b0085 article-title: Angular Porosity Distributions in Fixed Packed Beds of Low Diameter Aspect Ratio publication-title: Can. J. Chem. Eng. doi: 10.1002/cjce.5450750404 – volume: 35 start-page: 23 issue: 1 year: 1983 ident: 10.1016/j.nucengdes.2022.111766_b0055 article-title: Radial porosity distribution in cylindrical beds packed with spheres publication-title: Powder Technol. doi: 10.1016/0032-5910(83)85022-0 – volume: 229 start-page: 90 year: 2012 ident: 10.1016/j.nucengdes.2022.111766_b0100 article-title: A simple method for determining sphere packed bed radial porosity publication-title: Powder Technol. doi: 10.1016/j.powtec.2012.06.013 – volume: 165 start-page: 92 issue: 2 year: 2006 ident: 10.1016/j.nucengdes.2022.111766_b0125 article-title: Analysis of particle porosity distribution in fixed beds using the discrete element method publication-title: Powder Technol. doi: 10.1016/j.powtec.2006.03.022 – ident: 10.1016/j.nucengdes.2022.111766_b0030 – ident: 10.1016/j.nucengdes.2022.111766_b0130 doi: 10.1016/j.powtec.2020.11.026 – volume: 44 start-page: 484 issue: 2 year: 1998 ident: 10.1016/j.nucengdes.2022.111766_b0050 article-title: Measured and Modeled Superficial Flow Profiles in Packed Beds with Liquid Flow publication-title: AIChE J. doi: 10.1002/aic.690440225 – ident: 10.1016/j.nucengdes.2022.111766_b0070 |
| SSID | ssj0000092 |
| Score | 2.3606818 |
| Snippet | •Vertical line-based approach to calculate angular, radial and regional porosities.•Methodology validated against analytical and published results.•Determine... This paper proposes a vertical line-based methodology for the calculation of the porosity of packed beds of spheres. The results for the overall porosity,... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 111766 |
| SubjectTerms | Angular porosity Aspect ratio Mathematical analysis Methodology Packed bed Packed beds Porosity Radial porosity Regional Porosity Tangential porosity Variation |
| Title | A methodology to analyse the angular, radial and regional porosities of a cylindrical packed bed of spheres |
| URI | https://dx.doi.org/10.1016/j.nucengdes.2022.111766 https://www.proquest.com/docview/2687834426 |
| Volume | 392 |
| WOSCitedRecordID | wos000805959800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-759X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000092 issn: 0029-5493 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Nb9MwGLZg4wAHxKc2GMgHbiVRmjRxzK2g8SWYdiiot8hfmdZN6dR2aPx7Hn8kTQeo7MChUeLUrpv3if281uP3JeTVUOqiztJhVOe8hoOS55FUhYx0mRhMaKVK3IL-9y_s6KicTvlxkAQtXToB1jTl1RW_-K-mRhmMbbfO3sDcXaMowDmMjiPMjuM_GX4cskL74EqglsLFHTGOYtrVyXOvqV4It2fE6cvNiV8RBBl3Ii4fiVYM1E-wUO2jiMC5PrN0FR_cW9pwBEF_OGu38Cqbg2Jg1iEOXet6QyTytssFchx_jdtSfTmYzE-9BCX-EPfXIuDGdpqpbm8Aj-BxZv3xNfPJ7sIIibGV-Twrvw3efh1hFjcAdXOCzsX2N-J1jc1w2demsU5c2OrWZlXXUGUbqnxDt8luynKOEXB3_Olw-rnnLPG0FQTZ_7ChBvxjn_7GZa7N6o6qTB6Q-8HHoGOPjYfklmkekXu9yJOPydmY9lBCV3MaUEKBEhpQ8pp6jOBa0xYjdI0ROq-poD2MUI8RCozYewEjT8i394eTdx-jkHcjUiCzqygdZdmIqSwRqqiNYbnIWSKNKHNphkUiSiXLlAtjOK-NgseuuWAjnOKpKQ7O-5TsNPPG7BGqElkapqVicDN4rqWphcK365HmWidynxTtE6xUCEpvc6OcV1usuE-SruKFj8uyvcqb1kRVoJeeNlYA4PbKB61Rq_Cy435Rujw1afHs5t15Tu6uX6EDsrNaXJoX5I76sTpdLl4GcP4CF4StFw |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+methodology+to+analyse+the+angular%2C+radial+and+regional+porosities+of+a+cylindrical+packed+bed+of+spheres&rft.jtitle=Nuclear+engineering+and+design&rft.au=Bester%2C+P.M.&rft.au=du+Toit%2C+C.G.&rft.date=2022-06-01&rft.issn=0029-5493&rft.volume=392&rft.spage=111766&rft_id=info:doi/10.1016%2Fj.nucengdes.2022.111766&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_nucengdes_2022_111766 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0029-5493&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0029-5493&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0029-5493&client=summon |