Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag
In this paper, the three-phase-lag model of fractional analysis on the reflection of two-dimensional problem of p-waves with initial stress, temperature-dependent, and magnetic field is investigated. The formulation of the problem for an isotropic homogeneous medium based on a three phase-lag theory...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23006317 |
| _version_ | 1797729940439826432 |
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| author | Araby A. Kilany Sayed M. Abo Dahab Marin Marin Mohammed A. Aiyashi M. Daher Albalwi |
| author_facet | Araby A. Kilany Sayed M. Abo Dahab Marin Marin Mohammed A. Aiyashi M. Daher Albalwi |
| author_sort | Araby A. Kilany |
| collection | DOAJ |
| description | In this paper, the three-phase-lag model of fractional analysis on the reflection of two-dimensional problem of p-waves with initial stress, temperature-dependent, and magnetic field is investigated. The formulation of the problem for an isotropic homogeneous medium based on a three phase-lag theory. The boundary conditions applied on the surface for the stresses and thermal insulation. The numerical solution presented as well as the graphical representation of the impact of analysis considering the external parameters. Also, the modified elastic waves reflected under the action of the magnetic field, initial stress, fractional degree coefficient, and temperature to determine the more exact nature of the reflection of these waves, particularly seismic waves. A comparison has been made between the results obtained and the previous results obtained by others and already published and are in agreement with these, when external parameters considered in the present investigation neglected. The results obtained indicate that the new external parameters have new impact on the waves reflection and applicable in diverse fields as engineering, earthquakes, volcanos, geophysics, acoustics, and astronomy. |
| first_indexed | 2024-03-12T11:36:53Z |
| format | Article |
| id | doaj.art-d88ceec44b0a4da398bbbd7214d9dc37 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-12T11:36:53Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-d88ceec44b0a4da398bbbd7214d9dc372023-09-01T05:01:52ZengElsevierCase Studies in Thermal Engineering2214-157X2023-09-0149103325Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lagAraby A. Kilany0Sayed M. Abo Dahab1Marin Marin2Mohammed A. Aiyashi3M. Daher Albalwi4Ministry of Higher Education, Higher Institute of Management Sciences, Beni Suef, EgyptDepartment of Mathematics Faculty of Science, South Valley University, Qena, 83523, Egypt; Corresponding author.Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania; Academy of Romanian Scientists, Bucharest, Romania; Corresponding author. Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania.Department of Mathematics, Faculty of Science, Jazan University, Jazan, 45142, Saudi ArabiaYanbu Industrial College, The Royal Commission for Jubail and Yanbu, 30436, Saudi ArabiaIn this paper, the three-phase-lag model of fractional analysis on the reflection of two-dimensional problem of p-waves with initial stress, temperature-dependent, and magnetic field is investigated. The formulation of the problem for an isotropic homogeneous medium based on a three phase-lag theory. The boundary conditions applied on the surface for the stresses and thermal insulation. The numerical solution presented as well as the graphical representation of the impact of analysis considering the external parameters. Also, the modified elastic waves reflected under the action of the magnetic field, initial stress, fractional degree coefficient, and temperature to determine the more exact nature of the reflection of these waves, particularly seismic waves. A comparison has been made between the results obtained and the previous results obtained by others and already published and are in agreement with these, when external parameters considered in the present investigation neglected. The results obtained indicate that the new external parameters have new impact on the waves reflection and applicable in diverse fields as engineering, earthquakes, volcanos, geophysics, acoustics, and astronomy.http://www.sciencedirect.com/science/article/pii/S2214157X23006317Temperature dependentThree-phase-lagP-wavesInitial stressElectromagneticConformable fractional derivative |
| spellingShingle | Araby A. Kilany Sayed M. Abo Dahab Marin Marin Mohammed A. Aiyashi M. Daher Albalwi Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag Case Studies in Thermal Engineering Temperature dependent Three-phase-lag P-waves Initial stress Electromagnetic Conformable fractional derivative |
| title | Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag |
| title_full | Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag |
| title_fullStr | Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag |
| title_full_unstemmed | Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag |
| title_short | Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag |
| title_sort | derivative analysis of fractional order on reflection of p waves with electromagnetic temperature and initial stress with three phase lag |
| topic | Temperature dependent Three-phase-lag P-waves Initial stress Electromagnetic Conformable fractional derivative |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23006317 |
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