線状移動熱源による二次元準定常熱傳導の等温度曲線について

• 中根 金作

  鉄道技術研究所

• 藤本 二男

  鉄道技術研究所

書誌事項

タイトル別名

• On the Isotherm of Two-Dimensional Heat Conduction under Quasi-Stationary State due to Linear Moving Heat Source
• Simple calculations and their features
• 簡易計算法とその主要なる性質

抄録

The two-dimensional heat distribution under quasi-stationary state due to linear moving heat source of infinate plate can be expressed :<BR> u=qe^-xv/2h<SUP>2</SUP>/2πbcph² K₀(2√ γ) ; where γ=(4a²h²+v²)/16h⁴(x²+y²)<BR>And the isotherm for it may be approximately expressed as follows :<BR> C-a₀Y=√R²+X²+log|√R²+1-1|, <BR>Y=√R²-X², <BR>where α⁰=vα₁/√4a²h²+v², β⁰=4h²β₁/√4a²+h²+v²;α₁=0.96, β₁=0.16, <BR>and C=integral constant.<BR>As far as the immediate neighbourhood of heat source is concerned, this isotherm may be substituted by ellipse which can be represented by the following equation:<BR> (1-2α′²C)x²+y²+2α₀′Cx=0; α₀′=α′v/2h², α=2.5<BR>Further the graphical method for defining the isotherm is described (Fig. 8) with regard to the geometrical significance of this expression.<BR>The main charrcteristics of the isotherm clarified through the graphical method are as follows: (i) The isotherm in this case takes form of an egg top-heavy in the direction of welding progress.<BR>(ii) In the neighbourhood of heat source, all of these isotherms approach circles.<BR>(iii) In the ZONE sufficiently detached from heat source, these curves tend to be the more flattened under the higher speed of welding.<BR>On the other hand, study of the change of tangent will contribute to fundamental theory of "the formation of beardlike Lüders' lines clustered in series in the part of base metal adjacent to welding bead."

収録刊行物

• 溶接学会誌

  溶接学会誌 22 (7), 231-237, 1953

  一般社団法人 溶接学会

キーワード

• Metals and Alloys
• Surfaces, Coatings and Films
• Mechanical Engineering
• Mechanics of Materials

詳細情報

• CRID: 1390282681477554176
• NII論文ID: 130003762563
• DOI: 10.2207/qjjws1943.22.231
• ISSN: 18837204
• ISSN: 00214787
• 本文言語コード: ja
• 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