TY - JOUR
T1 - Evolution and breaking of liquid film flowing on a vertical cylinder
AU - Rosenau, Philip
AU - Oron, Alexander
PY - 1989
Y1 - 1989
N2 - An amplitude equation is derived, which describes the evolution of a disturbed film interface H(τ,Z,Y) flowing down an infinite vertical cylindrical column. Using a new approach, which accounts for fast spatial changes, the nonlinear evolution of the interface is shown to be governed by Hτ + βHHz + αHzz + γ∇2{N [ (1/ω2)H + ∇2H ]} = 0, where ω is the normalized cylinder radius and α, β, and γ are constants, ∇ ≡ (∂Z, ∂Y), and N= [ 1 + ∈4(∇H)2] -3/2. It is shown numerically that for some linearly unstable equilibria the evolving waves break in a finite time.
AB - An amplitude equation is derived, which describes the evolution of a disturbed film interface H(τ,Z,Y) flowing down an infinite vertical cylindrical column. Using a new approach, which accounts for fast spatial changes, the nonlinear evolution of the interface is shown to be governed by Hτ + βHHz + αHzz + γ∇2{N [ (1/ω2)H + ∇2H ]} = 0, where ω is the normalized cylinder radius and α, β, and γ are constants, ∇ ≡ (∂Z, ∂Y), and N= [ 1 + ∈4(∇H)2] -3/2. It is shown numerically that for some linearly unstable equilibria the evolving waves break in a finite time.
UR - http://www.scopus.com/inward/record.url?scp=0000638696&partnerID=8YFLogxK
U2 - 10.1063/1.857502
DO - 10.1063/1.857502
M3 - מאמר
AN - SCOPUS:0000638696
VL - 1
SP - 1763
EP - 1766
JO - Physics of fluids. A, Fluid dynamics
JF - Physics of fluids. A, Fluid dynamics
SN - 0899-8213
IS - 11
ER -