The instability of rhombic cell flows

摘要: Instability of two-dimensional periodic flows with rhombic cell structure represented by the stream function ψ=cos kx+cos y is investigated. Stability characteristics are obtained for Reynolds number R=1, 2, 3 and 4 ratio diagonals k=1, ½ ¼. Variation critical Rc k obtained, square flow (k=1) found to be most stable (Rc=√2). It that → 1 as 0, which leads a finite gap between this limiting Rc=√2 K=0 (ψ=cos y).