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Derivation of three-dimensional heat transfer mathematical equations to predict conductivity of insulation systems for liquid nitrogen pipe flow

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)

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Abstract

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.

Item Type: Article
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Cryogenic; Thermal insulation system; Liquid nitrogen; Pipe flow; Three-dimensional heat conductivity
Subjects: Q Science > Q Science (General)
T Technology > T Technology (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs. Neng Sury Sulaiman
Date Deposited: 03 Aug 2018 07:12
Last Modified: 03 Aug 2018 07:12
URI: http://umpir.ump.edu.my/id/eprint/20632
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