Bursting Sand Balloons
Using linear elasticity theory, we describe the mechanical response of dry non-cohesive granular masses of Ottawa sand contained by spherical rubber balloons subject to sudden bursting in the earliest instants of the event. Due to the compression imposed by the balloon, the rupture produces a fast r...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Fluids |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2311-5521/9/2/49 |
| _version_ | 1797298293092384768 |
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| author | Gustavo Gómez Francisco José Higuera Florencio Sánchez-Silva Abraham Medina |
| author_facet | Gustavo Gómez Francisco José Higuera Florencio Sánchez-Silva Abraham Medina |
| author_sort | Gustavo Gómez |
| collection | DOAJ |
| description | Using linear elasticity theory, we describe the mechanical response of dry non-cohesive granular masses of Ottawa sand contained by spherical rubber balloons subject to sudden bursting in the earliest instants of the event. Due to the compression imposed by the balloon, the rupture produces a fast radial expansion of the sand front that depends on the initial radius <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula>, the initial pressure <i>p</i> originated by the balloon, and the effective modulus of compression <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>e</mi></msub></semantics></math></inline-formula>. The hydrostatic compression approximation allows for the theoretical study of this problem. We found a linear decompression wave that travels into the sand and that induces a radial expansion of the granular front in the opposite direction with similar behavior to the wave but with a slightly lower speed. |
| first_indexed | 2024-03-07T22:32:51Z |
| format | Article |
| id | doaj.art-a634d3888d1440698d370f507bb6e4f0 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-07T22:32:51Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-a634d3888d1440698d370f507bb6e4f02024-02-23T15:16:14ZengMDPI AGFluids2311-55212024-02-01924910.3390/fluids9020049Bursting Sand BalloonsGustavo Gómez0Francisco José Higuera1Florencio Sánchez-Silva2Abraham Medina3SEPI ESIME Zacatenco, Instituto Politecnico Nacional, Av. Miguel Othon de Mendizabal SN, La Escalera, Ciudad de México 07738, MexicoETSIAE, Universidad Politecnica de Madrid, Plaza Cardenal Cisneros 3, 28040 Madrid, SpainSEPI ESIME Zacatenco, Instituto Politecnico Nacional, Av. Miguel Othon de Mendizabal SN, La Escalera, Ciudad de México 07738, MexicoSEPI ESIME Azcapotzalco, Instituto Politecnico Nacional, Av. de las Granjas 682, Col. Sta. Catarina Azcapotzalco, Ciudad de México 02250, MexicoUsing linear elasticity theory, we describe the mechanical response of dry non-cohesive granular masses of Ottawa sand contained by spherical rubber balloons subject to sudden bursting in the earliest instants of the event. Due to the compression imposed by the balloon, the rupture produces a fast radial expansion of the sand front that depends on the initial radius <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula>, the initial pressure <i>p</i> originated by the balloon, and the effective modulus of compression <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>e</mi></msub></semantics></math></inline-formula>. The hydrostatic compression approximation allows for the theoretical study of this problem. We found a linear decompression wave that travels into the sand and that induces a radial expansion of the granular front in the opposite direction with similar behavior to the wave but with a slightly lower speed.https://www.mdpi.com/2311-5521/9/2/49granular medialinear elasticity theoryeffective modulus of compressiondecompression waves |
| spellingShingle | Gustavo Gómez Francisco José Higuera Florencio Sánchez-Silva Abraham Medina Bursting Sand Balloons Fluids granular media linear elasticity theory effective modulus of compression decompression waves |
| title | Bursting Sand Balloons |
| title_full | Bursting Sand Balloons |
| title_fullStr | Bursting Sand Balloons |
| title_full_unstemmed | Bursting Sand Balloons |
| title_short | Bursting Sand Balloons |
| title_sort | bursting sand balloons |
| topic | granular media linear elasticity theory effective modulus of compression decompression waves |
| url | https://www.mdpi.com/2311-5521/9/2/49 |
| work_keys_str_mv | AT gustavogomez burstingsandballoons AT franciscojosehiguera burstingsandballoons AT florenciosanchezsilva burstingsandballoons AT abrahammedina burstingsandballoons |