A Hot Spots Ignition Probability Model for Low-Velocity Impacted Explosive Particles Based on the Particle Size and Distribution
Particle size and distribution play an important role in ignition. The size and distribution of the cyclotetramethylene tetranitramine (HMX) particles were investigated by Laser Particle Size Analyzer Malvern MS2000 before experiment and calculation. The mean size of particles is 161 μm. Minimum and...
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description | Particle size and distribution play an important role in ignition. The size and distribution of the cyclotetramethylene tetranitramine (HMX) particles were investigated by Laser Particle Size Analyzer Malvern MS2000 before experiment and calculation. The mean size of particles is 161 μm. Minimum and maximum sizes are 80 μm and 263 μm, respectively. The distribution function is like a quadratic function. Based on the distribution of micron scale explosive particles, a microscopic model is established to describe the process of ignition of HMX particles under drop weight. Both temperature of contact zones and ignition probability of powder explosive can be predicted. The calculated results show that the temperature of the contact zones between the particles and the drop weight surface increases faster and higher than that of the contact zones between two neighboring particles. For HMX particles, with all other conditions being kept constant, if the drop height is less than 0.1 m, ignition probability will be close to 0. When the drop heights are 0.2 m and 0.3 m, the ignition probability is 0.27 and 0.64, respectively, whereas when the drop height is more than 0.4 m, ignition probability will be close to 0.82. In comparison with experimental results, the two curves are reasonably close to each other, which indicates our model has a certain degree of rationality. |
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The size and distribution of the cyclotetramethylene tetranitramine (HMX) particles were investigated by Laser Particle Size Analyzer Malvern MS2000 before experiment and calculation. The mean size of particles is 161 μm. Minimum and maximum sizes are 80 μm and 263 μm, respectively. The distribution function is like a quadratic function. Based on the distribution of micron scale explosive particles, a microscopic model is established to describe the process of ignition of HMX particles under drop weight. Both temperature of contact zones and ignition probability of powder explosive can be predicted. The calculated results show that the temperature of the contact zones between the particles and the drop weight surface increases faster and higher than that of the contact zones between two neighboring particles. For HMX particles, with all other conditions being kept constant, if the drop height is less than 0.1 m, ignition probability will be close to 0. When the drop heights are 0.2 m and 0.3 m, the ignition probability is 0.27 and 0.64, respectively, whereas when the drop height is more than 0.4 m, ignition probability will be close to 0.82. In comparison with experimental results, the two curves are reasonably close to each other, which indicates our model has a certain degree of rationality.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2017/7421842</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Analyzers ; Atoms & subatomic particles ; Chemical reactions ; Constants ; Contact ; Distribution functions ; Experiments ; Explosives ; Heat ; HMX ; Ignition ; Kinematics ; Laboratories ; Lasers ; Mathematical models ; Neural networks ; Particle size ; Particle size distribution ; Phase transitions ; Photography ; Probability ; Propagation ; Quadratic equations ; R&D ; Research & development ; Velocity</subject><ispartof>Mathematical problems in engineering, 2017-01, Vol.2017 (2017), p.1-10</ispartof><rights>Copyright © 2017 Hong-fu Guo et al.</rights><rights>Copyright © 2017 Hong-fu Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c350t-dac7cf436c0c7044da907ce118973a87921aa849f70eb92835bf9fec52980d253</cites><orcidid>0000-0002-3763-2066 ; 0000-0002-6039-6436</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><contributor>Vynnycky, Michael</contributor><creatorcontrib>Guo, Hong-fu</creatorcontrib><creatorcontrib>Huang, Fenglei</creatorcontrib><creatorcontrib>Wu, Yan-qing</creatorcontrib><title>A Hot Spots Ignition Probability Model for Low-Velocity Impacted Explosive Particles Based on the Particle Size and Distribution</title><title>Mathematical problems in engineering</title><description>Particle size and distribution play an important role in ignition. The size and distribution of the cyclotetramethylene tetranitramine (HMX) particles were investigated by Laser Particle Size Analyzer Malvern MS2000 before experiment and calculation. The mean size of particles is 161 μm. Minimum and maximum sizes are 80 μm and 263 μm, respectively. The distribution function is like a quadratic function. Based on the distribution of micron scale explosive particles, a microscopic model is established to describe the process of ignition of HMX particles under drop weight. Both temperature of contact zones and ignition probability of powder explosive can be predicted. The calculated results show that the temperature of the contact zones between the particles and the drop weight surface increases faster and higher than that of the contact zones between two neighboring particles. For HMX particles, with all other conditions being kept constant, if the drop height is less than 0.1 m, ignition probability will be close to 0. When the drop heights are 0.2 m and 0.3 m, the ignition probability is 0.27 and 0.64, respectively, whereas when the drop height is more than 0.4 m, ignition probability will be close to 0.82. In comparison with experimental results, the two curves are reasonably close to each other, which indicates our model has a certain degree of rationality.</description><subject>Analyzers</subject><subject>Atoms & subatomic particles</subject><subject>Chemical reactions</subject><subject>Constants</subject><subject>Contact</subject><subject>Distribution functions</subject><subject>Experiments</subject><subject>Explosives</subject><subject>Heat</subject><subject>HMX</subject><subject>Ignition</subject><subject>Kinematics</subject><subject>Laboratories</subject><subject>Lasers</subject><subject>Mathematical models</subject><subject>Neural networks</subject><subject>Particle size</subject><subject>Particle size distribution</subject><subject>Phase transitions</subject><subject>Photography</subject><subject>Probability</subject><subject>Propagation</subject><subject>Quadratic equations</subject><subject>R&D</subject><subject>Research & development</subject><subject>Velocity</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0ctL7DAUBvAiV9Cr7lxLwM0FrebkMUmWvh0YUfCBu5KmqUY6TU0yvlb-6WYYQbgbVwknP74c-IpiE_AeAOf7BIPYF4yAZGSpWAU-oiUHJv7kOyasBELvV4q_MT5hTICDXC0-D9C5T-h68Cmi8UPvkvM9ugq-1rXrXHpHF76xHWp9QBP_Wt7Zzpv5eDwdtEm2QSdvQ-eje7HoSofkTGcjOtQxv-Sg9PgzRtfuwyLdN-jYxRRcPZv_tV4st7qLduP7XCtuT09ujs7LyeXZ-OhgUhrKcSobbYRpGR0ZbARmrNEKC2MBpBJUS6EIaC2ZagW2tSKS8rpVrTWcKIkbwula8W-ROwT_PLMxVVMXje063Vs_ixVIyQDnUJrp9n_0yc9Cn7fLaqSUZDk-q92FMsHHGGxbDcFNdXivAFfzOqp5HdV3HZnvLPij6xv96n7TWwtts7Gt_tGgQHJJvwCncZPF</recordid><startdate>20170101</startdate><enddate>20170101</enddate><creator>Guo, Hong-fu</creator><creator>Huang, Fenglei</creator><creator>Wu, Yan-qing</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-3763-2066</orcidid><orcidid>https://orcid.org/0000-0002-6039-6436</orcidid></search><sort><creationdate>20170101</creationdate><title>A Hot Spots Ignition Probability Model for Low-Velocity Impacted Explosive Particles Based on the Particle Size and Distribution</title><author>Guo, Hong-fu ; Huang, Fenglei ; Wu, Yan-qing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c350t-dac7cf436c0c7044da907ce118973a87921aa849f70eb92835bf9fec52980d253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Analyzers</topic><topic>Atoms & subatomic particles</topic><topic>Chemical reactions</topic><topic>Constants</topic><topic>Contact</topic><topic>Distribution functions</topic><topic>Experiments</topic><topic>Explosives</topic><topic>Heat</topic><topic>HMX</topic><topic>Ignition</topic><topic>Kinematics</topic><topic>Laboratories</topic><topic>Lasers</topic><topic>Mathematical models</topic><topic>Neural networks</topic><topic>Particle size</topic><topic>Particle size distribution</topic><topic>Phase transitions</topic><topic>Photography</topic><topic>Probability</topic><topic>Propagation</topic><topic>Quadratic equations</topic><topic>R&D</topic><topic>Research & development</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Hong-fu</creatorcontrib><creatorcontrib>Huang, Fenglei</creatorcontrib><creatorcontrib>Wu, Yan-qing</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guo, Hong-fu</au><au>Huang, Fenglei</au><au>Wu, Yan-qing</au><au>Vynnycky, Michael</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Hot Spots Ignition Probability Model for Low-Velocity Impacted Explosive Particles Based on the Particle Size and Distribution</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2017-01-01</date><risdate>2017</risdate><volume>2017</volume><issue>2017</issue><spage>1</spage><epage>10</epage><pages>1-10</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>Particle size and distribution play an important role in ignition. The size and distribution of the cyclotetramethylene tetranitramine (HMX) particles were investigated by Laser Particle Size Analyzer Malvern MS2000 before experiment and calculation. The mean size of particles is 161 μm. Minimum and maximum sizes are 80 μm and 263 μm, respectively. The distribution function is like a quadratic function. Based on the distribution of micron scale explosive particles, a microscopic model is established to describe the process of ignition of HMX particles under drop weight. Both temperature of contact zones and ignition probability of powder explosive can be predicted. The calculated results show that the temperature of the contact zones between the particles and the drop weight surface increases faster and higher than that of the contact zones between two neighboring particles. For HMX particles, with all other conditions being kept constant, if the drop height is less than 0.1 m, ignition probability will be close to 0. When the drop heights are 0.2 m and 0.3 m, the ignition probability is 0.27 and 0.64, respectively, whereas when the drop height is more than 0.4 m, ignition probability will be close to 0.82. In comparison with experimental results, the two curves are reasonably close to each other, which indicates our model has a certain degree of rationality.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2017/7421842</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-3763-2066</orcidid><orcidid>https://orcid.org/0000-0002-6039-6436</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Analyzers Atoms & subatomic particles Chemical reactions Constants Contact Distribution functions Experiments Explosives Heat HMX Ignition Kinematics Laboratories Lasers Mathematical models Neural networks Particle size Particle size distribution Phase transitions Photography Probability Propagation Quadratic equations R&D Research & development Velocity |
title | A Hot Spots Ignition Probability Model for Low-Velocity Impacted Explosive Particles Based on the Particle Size and Distribution |
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