STUDY ON KELVIN-HELMHOLTZ INSTABILITY OF CYLINDRICAL FLOW WITH MASS AND HEAT TRANSFER THROUGH POROUS MEDIUM

摘要

We studied the linear Kelvin-Helmholtz instability of the interface between two viscous and incompressible fluids in a fully saturated porous medium using viscous potential flow theory, when the phases are enclosed between two horizontal cylindrical surfaces coaxial with the interface, and when there is mass and heat transfer across the interface. The Darcy-Brinkman model was used for the investigation and both asymmetric and axisymmetric disturbances were considered. A dispersion relation was derived and stability discussed theoretically as well as numerically. Stability criterion is given in terms of critical value of relative velocity. It is observed that vapor fraction has a stabilizing effect on the stability of the system, while heat and mass transfer destabilizes the interface. Porosity and porous medium both have a stabilizing effect.