Journal of the Korean Society for Industrial and Applied Mathematics

  • 제26권1호
  • /
  • Pages.67-75
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  • 2022
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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ANALYSIS OF NON-INTEGER ORDER THERMOELASTIC TEMPERATURE DISTRIBUTION AND THERMAL DEFLECTION OF THIN HOLLOW CIRCULAR DISK UNDER THE AXI-SYMMETRIC HEAT SUPPLY

  • KHAVALE, SATISH G. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE) ;
  • GAIKWAD, KISHOR R. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE)
  • 투고 : 2021.10.12
  • 심사 : 2022.03.04
  • 발행 : 2022.03.25
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초록

Analysis of non-integer order thermoelastic temperature distribution and it's thermal deflection of thin hollow circular disk under the axi-symmetric heat supply is investigated. Initially, the disk is kept at zero temperature. For t > 0 the parametric surfaces are thermally insulated and axi-symmetric heat supply on the thickness of the disk. The governing heat conduction equation has been solved by integral transform technique, including Mittag-Leffler function. The results have been computed numerically and illustrated graphically with the help of PTC-Mathcad.

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과제정보

The authors are grateful thanks to Chhatrapati Shahu Maharaj Research, Training and Human Development Institute (SARTHI) for awarding the Chief Minister Special Research Fellowiship - 2019 (CMSRF - 2019). ORCID ID: 0000-0003-3551-301X

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