Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation
The paper presents the simulation results of heat transfer in single-crystal lithium niobate (LiNbO3) in the form of cylinder of diameter mm and height mm in interaction with continuous-wave laser radiation with the output power of W and the wavelength of nm. The density of the LiNbO3 crystal is kg...
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| Format: | Article |
| Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2022-03-01
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| Series: | East European Journal of Physics |
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| Online Access: | https://periodicals.karazin.ua/eejp/article/view/18432 |
| _version_ | 1819002285825458176 |
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| author | Denys O. Protektor Denys O. Lisin |
| author_facet | Denys O. Protektor Denys O. Lisin |
| author_sort | Denys O. Protektor |
| collection | DOAJ |
| description |
The paper presents the simulation results of heat transfer in single-crystal lithium niobate (LiNbO3) in the form of cylinder of diameter mm and height mm in interaction with continuous-wave laser radiation with the output power of W and the wavelength of nm. The density of the LiNbO3 crystal is kg/m3; the thermal conductivity along the [001] direction is W/(m×K); the thermal conductivity in the (001) plane is W/(m×K); the specific heat at constant pressure is J/(kg×K); the absorption coefficient is %/cm @ 1064 nm. The laser beam propagates along the optical axis of the crystal. The laser beam intensity profile is represented as a Gaussian function, and the absorption of laser radiation of the single-crystal lithium niobate is described by Beer-Lambert’s law. The numerical solution of the non-stationary heat conduction problem is obtained by meshless scheme using anisotropic radial basis functions. The time interval of the non-stationary boundary-value problem is 2 h 30 min. The results of numerical calculations of the temperature distribution inside and on the surface of the single-crystal lithium niobate at times s are presented. The time required to achieve the steady-state heating mode of the LiNbO3 crystal, as well as its temperature range over the entire time interval, have been determined. The accuracy of the approximate solution of the boundary-value problem at the n-th iteration is estimated by the value of the norm of relative residual . The results of the numerical solution of the non-stationary heat conduction problem obtained by meshless method show its high efficiency even at a small number of interpolation nodes.
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| first_indexed | 2024-12-20T23:02:41Z |
| format | Article |
| id | doaj.art-c8fd872f69fa41a2b30040a5c007b1a5 |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-12-20T23:02:41Z |
| publishDate | 2022-03-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-c8fd872f69fa41a2b30040a5c007b1a52022-12-21T19:23:57ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392022-03-01110.26565/2312-4334-2022-1-02Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser RadiationDenys O. Protektor0Denys O. Lisin1V.N. Karazin Kharkiv National University, Kharkiv, UkraineV.N. Karazin Kharkiv National University, Kharkiv, Ukraine The paper presents the simulation results of heat transfer in single-crystal lithium niobate (LiNbO3) in the form of cylinder of diameter mm and height mm in interaction with continuous-wave laser radiation with the output power of W and the wavelength of nm. The density of the LiNbO3 crystal is kg/m3; the thermal conductivity along the [001] direction is W/(m×K); the thermal conductivity in the (001) plane is W/(m×K); the specific heat at constant pressure is J/(kg×K); the absorption coefficient is %/cm @ 1064 nm. The laser beam propagates along the optical axis of the crystal. The laser beam intensity profile is represented as a Gaussian function, and the absorption of laser radiation of the single-crystal lithium niobate is described by Beer-Lambert’s law. The numerical solution of the non-stationary heat conduction problem is obtained by meshless scheme using anisotropic radial basis functions. The time interval of the non-stationary boundary-value problem is 2 h 30 min. The results of numerical calculations of the temperature distribution inside and on the surface of the single-crystal lithium niobate at times s are presented. The time required to achieve the steady-state heating mode of the LiNbO3 crystal, as well as its temperature range over the entire time interval, have been determined. The accuracy of the approximate solution of the boundary-value problem at the n-th iteration is estimated by the value of the norm of relative residual . The results of the numerical solution of the non-stationary heat conduction problem obtained by meshless method show its high efficiency even at a small number of interpolation nodes. https://periodicals.karazin.ua/eejp/article/view/18432heat transferlithium niobateanisotropic thermal conductivitylaser radiationnon-stationary heat conduction problemmeshless method |
| spellingShingle | Denys O. Protektor Denys O. Lisin Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation East European Journal of Physics heat transfer lithium niobate anisotropic thermal conductivity laser radiation non-stationary heat conduction problem meshless method |
| title | Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation |
| title_full | Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation |
| title_fullStr | Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation |
| title_full_unstemmed | Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation |
| title_short | Simulation of Heat Transfer in Single-Crystal Lithium Niobate in Interaction with Continuous-Wave Laser Radiation |
| title_sort | simulation of heat transfer in single crystal lithium niobate in interaction with continuous wave laser radiation |
| topic | heat transfer lithium niobate anisotropic thermal conductivity laser radiation non-stationary heat conduction problem meshless method |
| url | https://periodicals.karazin.ua/eejp/article/view/18432 |
| work_keys_str_mv | AT denysoprotektor simulationofheattransferinsinglecrystallithiumniobateininteractionwithcontinuouswavelaserradiation AT denysolisin simulationofheattransferinsinglecrystallithiumniobateininteractionwithcontinuouswavelaserradiation |