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ArtikelDeveloping Film Flow on An Inclined Plane With A Critical Point  
Oleh: Ruschak, Kenneth J. ; Weinstein, Steven J. ; Ng, Kam
Jenis: Article from Bulletin/Magazine
Dalam koleksi: Journal of Fluids Engineering vol. 123 no. 3 (2001), page 698-701.
Topik: critical theories; film flow; plane; critical point
Ketersediaan
  • Perpustakaan Pusat (Semanggi)
    • Nomor Panggil: JJ89.2
    • Non-tandon: 1 (dapat dipinjam: 0)
    • Tandon: tidak ada
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Isi artikelViscous, laminar, gravitationally - driven flow of a thin film on an inclined plane is analyzed for moderate Reynolds number under critical conditions. A previous analysis of film flow utilized a momentum integral approach with a semiparabolic velocity profile to obtain an ordinary differential equation for the film thickness for flow over a round - crested weir, and the singularity associated with the critical point for a subcritical - to - supercritical transition was removable. For developing flow on a plane with a supercritical-to-subcritical transition, however, the same approach leads to a nonremovable singularity. To eliminate the singularity, the film equations are modified for a velocity profile of changing shape. The resulting predictions compare favorably with those from the two - dimensional boundary - layer equation obtained by finite differences and with those from the Navier - Stokes equation obtained by finite elements.
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