The linear hydrodynamic stability of film flow down a vertical cylinder

Abstract

To illustrate the proposed method, Figure 1 shows calculated and experimental liquid thermal conductivity data for the system methanol water at 0" and 60°C. Figure 2 exemplifies a limitation of Equation (1) in that it fails to predict the minimum thermal conductivities for the azeotropic liquid mixture, CC&/tert-butanol.

Hydrodynamic Instability of Liquid Films on Moving Fibers

“…Then, the incompressibility condition [20] is reduced to the Laplace equation for the velocity potential. Thus, both gas and liquid velocity potentials i , i ϭ l, g obey the Laplace equation (we suppose that the motion is axially symmetric, i.e., that all the derivatives with respect to angle theta, in cylindrical coordinates, are zeros):…”

Nonlinear Stability Analysis of Thin Viscoelastic Film Flowing Down on the Inner Surface of a Rotating Vertical Cylinder

“…Lin et al [15] compared their analytical solutions with the existing experimental results of falling film flow on a cylinder and creeping annular flow threads in viscous liquid. Krantz et al [16] presented an asymptotic solution and pointed out that the effect of curvature on the stability of the film flow is indeed significant. Rosenau et al [17] derived an amplitude equation which describes the evolution of a disturbed free film surface traveling down an infinite vertical cylindrical column.…”

Perturbation analysis to the nonlinear stability characterization of thin condensate falling film on the outer surface of a rotating vertical cylinder

“…Krantz et al [10] presented an asymptotic solution and pointed out that the effect of curvature on the stability of the film flow is indeed significant. Rosenau and Oron [11] derived an amplitude equation which describes the evolution of a disturbed free film surface traveling down an infinite vertical cylindrical column.…”