Stability of Roll-Waves on Thin Laminar Flow down an Inclined Plane Wall

• Tamada Ko

  Department of Traffic-Machine Engineering, Osaka Industrial University

• Tougou Hirohumi

  Department of Aeronautical Engineering, Kyoto University

書誌事項

タイトル別名

• Stability of Roll Waves on Thin Laminar

抄録

This paper considers the roll-wave phenomenon on thin laminar viscous flow down an inclined plane wall on the basis of hydraulic equations which are derived on the assumptions of long wave and parabolic velocity profile. Wave fronts are approximated by discontinuous jumps satisfying physical laws. The solution for the permanent roll-wave train obtained involves one free parameter, and is insufficient to explain observed results. Then, the stability of the said solution to infinitesimal disturbances is investigated. It is found that the roll-wave train is unstable if its wave length is shorter than a certain critical value. Furthermore, wave lengths of the most stable waves are favourably compared with those of waves observed in experiments.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 47 (6), 1992-1998, 1979

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390282679159593088
• NII論文ID: 110001964563
• NII論文ID: 130003896215
• NII論文ID: 210000088219
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.47.1992
• BIBCODE: 1979JPSJ...47.1992T
• COI: 1:CAS:528:DyaL3cXnvVymsg%3D%3D
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 2070320
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2070320
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.47.1992
• 本文言語コード: en
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