Reliable one-dimensional approximate solutions for insulated oblate spheroid containers

Tsung Lieh Hsien, King Leung Wong, Wen Li Chen, Chao chuan Siao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Since there is no reliable surface-area formula available for the calculation of the heat-transfer characteristics of an insulated oblate spheroid, in this investigation, highly accurate oblate spheroid surface area is obtained by a simple numerical integration method. Based on the accurate oblate spheroid surface area, a reliable one-dimensional approximate solution of an insulated oblate spheroid container can be obtained with a one-dimensional RPSWT model. By comparing with accurate three-dimensional numerical results, it is found that in cases of low external convective coefficient (ho = 8.3 W m-2 K-1), long-short-axes ratio a / b ≦ 3, and insulation thickness t / R2 ≦ 2, errors are within 3%. In rarer situations with a / b ≦ 5 and t / R2 ≦ 2, the errors are within 5.5%. The above results are almost independent with the internal flow convective coefficient (hi from 30 to 105 W m-2 K-1) and dimensionless container size (0.5R2ho/Ks from 1.55 to 155).

Original languageEnglish
Pages (from-to)1871-1878
Number of pages8
JournalEnergy Conversion and Management
Issue number8
Publication statusPublished - 2009 Aug

All Science Journal Classification (ASJC) codes

  • Renewable Energy, Sustainability and the Environment
  • Nuclear Energy and Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology

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