Viscous potential flow analysis of capillary instability with heat and mass transfer

Abstract

We carry out the linear viscous-irrotational analysis of capillary instability with heat transfer and phase change. We consider the cylindrical interface shared by two viscous incompressible fluids enclosed by two concentric cylinders. In viscous potential flow, viscosity enters the model through the balance of normal stresses at the interface. We write the dispersion relation from the stability analysis for axisymmetric disturbances in terms of a set of dimensionless numbers that arise in this phase change problem. For the film boiling condition, plots depicting the effect of some of these parameters on the maximum growth rate for unstable perturbations and critical wavenumber for marginal stability are presented and interpreted. Viscous effects of a purely irrotational motion in the presence of heat and mass transfer can stabilize an otherwise unstable gas-liquid interface.

Viscous potential flow analysis of capillary instability with heat and mass transfer through porous media

“…They observed that the heat and mass transfer has a stabilizing effect when the lower fluid viscosity is high and destabilizing effect when lower fluid viscosity is low. Kim et al [9] investigated the capillary instability problem of vapor liquid system in an annular configuration with heat and mass transfer using viscous potential flow for axisymmetric disturbances. They observed that for irrotational motion of two viscous fluids, heat and mass transfer phenomenon completely stabilizes the interface against capillary effects.…”

Study on hydro-magnetic capillary instability with mass transfer through porous media

“…In Eq. (32) putting H 0 = 0, ε = 1, k 1 → ∞ we get the dispersion relation as obtained by Kim et al [7]. Choosing…”

“…The effect of heat and mass transfer on the Kelvin-Helmholtz instability was studied by Asthana and Agrawal [6] when both fluids are miscible and viscous. Kim et al [7] extended the work of Funada and Joseph [1] including the effect of interfacial heat and mass transfer. They have found that the interfacial heat and mass transfer phenomenon resists the growth of disturbance waves.…”

Viscous potential flow analysis of magnetohydrodynamic capillary instability with heat and mass transfer

“…Therefore, Ca has a stabilizing effect on the stability of the system. Kim et al [17] have also observed that the heat and mass transfer phenomenon has stabilizing effect in the absence of magnetic field and therefore, magnetic field does not affect the behavior of magnetic field. The effect of heat and mass transfer on the stability of the system can be explained in terms of local evaporation and condensation at the interface.…”

“…They observed that the heat and mass transfer has a stabilizing effect when the lower fluid viscosity is high and destabilizing effect when fluid viscosity is low. Kim et al [17] investigated the capillary instability problem of vapor liquid system in an annular configuration with heat and mass transfer using viscous potential flow for axisymmetric disturbances. Awasthi and Agrawal [18] have studied the nonlinear effects on the capillary instability in the presence of heat and mass transfer and observed that heat and mass transfer phenomenon has stabilizing effect on the stability of the system in the nonlinear analysis.…”