Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative
The present paper examines the plane wave’s reflection in a semiconducting magneto-thermoelastic rotating nonlocal half-space medium, which is stress-free, thermally insulated, and with a diffusion transport process at the boundaries. The novel mathematical model of extended three-phase-lag (TPL) he...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/10/1844 |
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| author | Kulvinder Singh Iqbal Kaur Eduard-Marius Craciun |
| author_facet | Kulvinder Singh Iqbal Kaur Eduard-Marius Craciun |
| author_sort | Kulvinder Singh |
| collection | DOAJ |
| description | The present paper examines the plane wave’s reflection in a semiconducting magneto-thermoelastic rotating nonlocal half-space medium, which is stress-free, thermally insulated, and with a diffusion transport process at the boundaries. The novel mathematical model of extended three-phase-lag (TPL) heat transfer law with memory-dependent derivative (MDD) and two temperatures (2T) is used to model this problem. The investigated 2D model shows that a longitudinal wave, when striking the surface z = 0, produces four reflected waves. The characteristics of the plane wave such as phase velocity, amplitude ratios, penetration depth, attenuation-coefficients-specific loss, and energy ratios of various reflected waves are obtained. The symmetric and asymmetric tensor representations of all physical quantities are used. The effects of various theories of thermoelasticity, two temperatures, and rotation on wave characteristics are illustrated graphically using MATLAB software. |
| first_indexed | 2024-03-10T20:52:19Z |
| format | Article |
| id | doaj.art-f451cb40f6ef4abeb0ced2b8a9ba9e84 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:52:19Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f451cb40f6ef4abeb0ced2b8a9ba9e842023-11-19T18:17:34ZengMDPI AGSymmetry2073-89942023-09-011510184410.3390/sym15101844Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent DerivativeKulvinder Singh0Iqbal Kaur1Eduard-Marius Craciun2CSE Department, University Institute of Engineering and Technology, Kurukshetra University, Kurukshetra 136118, Haryana, IndiaDepartment of Mathematics, Government College for Girls Palwal, Kurukshetra 136118, Haryana, IndiaFaculty of Mechanical, Industrial and Maritime Engineering, “Ovidius” University of Constanta, 900527 Constanta, RomaniaThe present paper examines the plane wave’s reflection in a semiconducting magneto-thermoelastic rotating nonlocal half-space medium, which is stress-free, thermally insulated, and with a diffusion transport process at the boundaries. The novel mathematical model of extended three-phase-lag (TPL) heat transfer law with memory-dependent derivative (MDD) and two temperatures (2T) is used to model this problem. The investigated 2D model shows that a longitudinal wave, when striking the surface z = 0, produces four reflected waves. The characteristics of the plane wave such as phase velocity, amplitude ratios, penetration depth, attenuation-coefficients-specific loss, and energy ratios of various reflected waves are obtained. The symmetric and asymmetric tensor representations of all physical quantities are used. The effects of various theories of thermoelasticity, two temperatures, and rotation on wave characteristics are illustrated graphically using MATLAB software.https://www.mdpi.com/2073-8994/15/10/1844semiconducting medianonlocalhall currenttime delaykernel functionmemory dependent derivative |
| spellingShingle | Kulvinder Singh Iqbal Kaur Eduard-Marius Craciun Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative Symmetry semiconducting media nonlocal hall current time delay kernel function memory dependent derivative |
| title | Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative |
| title_full | Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative |
| title_fullStr | Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative |
| title_full_unstemmed | Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative |
| title_short | Plane Wave Reflection in Nonlocal Semiconducting Rotating Media with Extended Model of Three-Phase-Lag Memory-Dependent Derivative |
| title_sort | plane wave reflection in nonlocal semiconducting rotating media with extended model of three phase lag memory dependent derivative |
| topic | semiconducting media nonlocal hall current time delay kernel function memory dependent derivative |
| url | https://www.mdpi.com/2073-8994/15/10/1844 |
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