Detail Thin-Film Flow at Moderate Reynolds Number   Oleh:  Weinstein, Steven J. ; Ruschak, Kenneth J. Jenis: Article from Bulletin/Magazine Dalam koleksi: Journal of Fluids Engineering vol. 122 no. 4 (2000), page 774-778. Topik: flow; thin - film; flow; reynolds number 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 over a round - crested weir is analyzed for moderate Reynolds numbers. A previous analysis of this flow utilized a momentum integral approach with a semiparabolic velocity profile to obtain an equation for the film thickness (Ruschak, K. J., and Weinstein, S. J., 1999, "Viscous Thin-Film Flow Over a Round - Crested Weir," ASME J. Fluids Eng., 121, pp. 673 – 677). In this work, a viscous boundary layer is introduced in the manner of Haugen (Haugen, R., 1968, "Laminar Flow Around a Vertical Wall," ASME J. Appl. Mech. 35, pp. 631 – 633). As in the previous analysis of Ruschak and Weinstein, the approximate equations have a critical point that provides an internal boundary condition for a bounded solution. The complication of a boundary layer is found to have little effect on the thickness profile while introducing a weak singularity at its beginning. The thickness of the boundary layer grows rapidly, and there is little cumulative effect of the increased wall friction. Regardless of whether a boundary layer is incorporated, the approximate free - surface profiles are close to profiles from finite - element solutions of the Navier - Stokes equation. Similar results are obtained for the related problem of developing flow on a vertical wall (Cerro, R. L., and Whitaker, S., 1971, "Entrance Region Flows With a Free Surface : the Falling Liquid Film," Chem. Eng. Sci., 26, pp. 785 – 798). Less accurate results are obtained for decelerating flow on a horizontal wall (Watson, E. J., 1964, "The Radial Spread of a Liquid Jet Over a Horizontal Plane," J. Fluid Mech. 20, pp. 481 – 499) where the flow is not gravitationally driven. Opini Anda Klik untuk menuliskan opini Anda tentang koleksi ini! Kembali

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