Nonlinear Stability Analysis of The Thin Micropolar Liquid Film Flowing Down on A Vertical Cylinder  

Oleh:

Lai, Hsin-Yi ; Cheng, Po-Jen ; Chen, Cha'o-Kuang

Jenis: Article from Bulletin/Magazine
Dalam koleksi: Journal of Fluids Engineering vol. 123 no. 2 (2001), page 411-421.
Topik: cylinder; non linear; stability; thin micropolar; liquid film; vertical cylinder

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: JJ89.2 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

Lihat Detail Induk

Isi artikel

This paper investigates the weakly non linear stability theory of a thin micropolar liquid film flowing down along the outside surface of a vertical cylinder. The long - wave perturbation method is employed to solve for generalized non linear kinematic equations with free film interface. The normal mode approach is first used to compute the linear stability solution for the film flow. The method of multiple scales is then used to obtain the weak nonlinear dynamics of the film flow for stability analysis. The modeling results indicate that both subcritical instability and supercritical stability conditions are possible to occur in a micropolar film flow system. The degree of instability in the film flow is further intensified by the lateral curvature of cylinder. This is somewhat different from that of the planar flow. The modeling results also indicate that by increasing the micropolar parameter K(= K / µ) and increasing the radius of the cylinder the film flow can become relatively more stable traveling down along the vertical cylinder.

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