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Developing 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
Lihat Detail Induk
Isi artikel
Viscous, 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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