Melting in a Rectangular Enclosure-Variational Approach

• EL-BAHADLI Abdulla A.

• HASSAN Raid M.

抄録

The melting process of a solid contained in a rectangular enclosure is investigated by an unsteady two-dimensional analysis of induced natural-convection heat transfer in the liquid region via the Boussinesq model. The mathematical model represented by the system of governing partial differential equations, as well as the initial and boundary conditions for the field variables, is transformed into an equivalent variational form by using the adjoint variational formulations. The weighted function finite element method was used to descretize the resulting variational principles into a system of algebraic equations suitable for numerical calculations. Numerical results obtained by a computer program designed for this purpose, i. e., values of the Rayleigh numbers in the range of 1O⁷-1O⁸, showed good agreement with experimental and other numerical data available for such problems.

収録刊行物

• JSME international journal. Ser. 1, Solid mechanics, strength of materials

  JSME international journal. Ser. 1, Solid mechanics, strength of materials 35 (2), 210-215, 1992

  一般社団法人 日本機械学会

キーワード

• Melting Process
• Natural-Convection
• Landau Transformation
• Adjoint Variational Principle
• Finite Element Method
• Boussinesq Model

詳細情報

• CRID: 1390001205431583104
• NII論文ID: 110002347675
• NII書誌ID: AA10680585
• DOI: 10.1299/jsmea1988.35.2_210
• ISSN: 09148809
• Web Site: https://www.jstage.jst.go.jp/article/jsmea1988/35/2/35_2_210/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可