Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow
Cryogenics is dealing with very low temperatures of less than 120 K. Thermal insulation is a key to minimize heat leak in cryogenics during transportation in transfer line. The present study is conducted to derive three-dimensional heat transfer mathematical equations to predict conductivity of insu...
| _version_ | 1848821156050632704 |
|---|---|
| author | Lye, Lim Chong Kamarul Arifin, Ahmad Ahmedov, Anvarjon A. Nor Mariah, Adam |
| author_facet | Lye, Lim Chong Kamarul Arifin, Ahmad Ahmedov, Anvarjon A. Nor Mariah, Adam |
| author_sort | Lye, Lim Chong |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Cryogenics is dealing with very low temperatures of less than 120 K. Thermal insulation is a key to minimize heat leak in cryogenics during transportation in transfer line. The present study is conducted to derive three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow. Elliptic differential equations on special domains were derived based on Fourier method for three-dimensional heat equations. As a result from the study, three-dimensional heat conduction equation for a cylindrical problem was successfully derived. The derived equation provides a mathematical solution to determine the heat transfer rate for a system of cryogenic pipe insulated with multiple layers. |
| first_indexed | 2025-11-15T02:20:52Z |
| format | Article |
| id | ump-20632 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T02:20:52Z |
| publishDate | 2017 |
| publisher | Institut Pengurusan Penyelidikan, UiTM |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-206322018-08-03T07:12:27Z http://umpir.ump.edu.my/id/eprint/20632/ Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow Lye, Lim Chong Kamarul Arifin, Ahmad Ahmedov, Anvarjon A. Nor Mariah, Adam Q Science (General) T Technology (General) Cryogenics is dealing with very low temperatures of less than 120 K. Thermal insulation is a key to minimize heat leak in cryogenics during transportation in transfer line. The present study is conducted to derive three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow. Elliptic differential equations on special domains were derived based on Fourier method for three-dimensional heat equations. As a result from the study, three-dimensional heat conduction equation for a cylindrical problem was successfully derived. The derived equation provides a mathematical solution to determine the heat transfer rate for a system of cryogenic pipe insulated with multiple layers. Institut Pengurusan Penyelidikan, UiTM 2017 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/20632/1/Derivation%20of%20Three-Dimensional%20Heat%20Transfer%20Mathematical%20Equations%20to%20Predict%20Conductivity%20of%20Insulation%20Systems%20for%20Liquid%20Nitrogen%20Pipe%20Flow.pdf pdf en http://umpir.ump.edu.my/id/eprint/20632/7/Derivation%20of%20Three-Dimensional%20Heat%20Transfer%20Mathematical%20Equations%20to%20Predict%20Conductivity%20of%20Insulation%20Systems%20for%20Liquid%20Nitrogen%20Pipe%20Flow%201.pdf Lye, Lim Chong and Kamarul Arifin, Ahmad and Ahmedov, Anvarjon A. and Nor Mariah, Adam (2017) Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow. Journal of Mechanical Engineering, S1 2 (1). pp. 39-56. ISSN 1823-5514 (print); 2550-164X (online). (Published) http://jmeche.com/wp-content/uploads/bsk-pdf-manager/4_Vol_SI_2_1_T1_16_258.pdf |
| spellingShingle | Q Science (General) T Technology (General) Lye, Lim Chong Kamarul Arifin, Ahmad Ahmedov, Anvarjon A. Nor Mariah, Adam Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title | Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title_full | Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title_fullStr | Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title_full_unstemmed | Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title_short | Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| title_sort | derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow |
| topic | Q Science (General) T Technology (General) |
| url | http://umpir.ump.edu.my/id/eprint/20632/ http://umpir.ump.edu.my/id/eprint/20632/ http://umpir.ump.edu.my/id/eprint/20632/1/Derivation%20of%20Three-Dimensional%20Heat%20Transfer%20Mathematical%20Equations%20to%20Predict%20Conductivity%20of%20Insulation%20Systems%20for%20Liquid%20Nitrogen%20Pipe%20Flow.pdf http://umpir.ump.edu.my/id/eprint/20632/7/Derivation%20of%20Three-Dimensional%20Heat%20Transfer%20Mathematical%20Equations%20to%20Predict%20Conductivity%20of%20Insulation%20Systems%20for%20Liquid%20Nitrogen%20Pipe%20Flow%201.pdf |