Estimation of surface temperature and heat flux over a hollow cylinder and slab using an inverse heat conduction approach

Deep Roy, Apoorva (author), Kumar Dhiman, Sushil (author)

A non-iterative approximation of the inverse heat conduction problem has been developed through energy balance between the control volumes. The heat flow domain along the surface normal was divided into three control volumes and studied in three cases, specifically on a heated hollow metallic cylinder cooled in crossflow of air, a heating flat plate in still air, and a heated flat plate when cooled in still air with random air blows. The time derivatives of temperature and heat flux estimates at the surface appearing in derived equations were evaluated by approximate expressions. Both estimates were obtained from the derived equations by simultaneous measurement of temperature-time histories at two locations: one at the inner surface and the other anywhere within the control volume along the surface normal. The deviation was checked by real-time simultaneous measurement of temperature-time history at the outer surface along the normal surface. Comparison between the estimated surface temperature-time history using the derived equations and the real-time measurement showed deviations within 0.5 % for the cylinder, within 0.03 % for the plate in still air and within 0.5 % when air blows were given. Heat fluxes estimated using these time histories were correspondingly arrived at consistent and close approximations for all cases. Estimates from the derived equations were compared with reported equations from the literature, and a wind tunnel experiment for the validation of circumferential distribution of heat transfer was conducted, for which they also showed reasonably good agreements.

• Language: English
• Keywords: surface temperature, heat flux, inverse heat conduction, energy balance approach, hollow cylinder, flat plates, derived equations
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 342-354
• Numbering: Vol. 70, no. 7/8
• PID: 20.500.12556/RUL-163466
• UDC: 536
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2023.864
• COBISS.SI-ID: 210404355
• Publication date in RUL: 07.10.2024

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.] = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Ocena površinske temperature in toplotnega toka nad votlim valjem in ploščo z uporabo inverznega prevajanja toplote
• Keywords: površinska temperatura, toplotni tok, inverzno prevajanje toplote, pristop z energijskim ravnovesjem, votli valj, ravne plošče, izpeljane enačbe