Stability analysis of stratfied liquid-liquid flow

Linear stability analysis is being widely used in exploring gas-liquid stratified/non-stratified transitions. As the present study relates to liquid-liquid two-phase systems, the stability characteristics of stratified layers are considered. In parallel, the conditions necessary for real characteristics are also explored. The relations between stability conditions and those for well-posedness are discussed in view of the implications for flow pattern transitions. The convergence of the stability conditions to various extremes is discussed. The integrated considerations of stability and well-posedness shed light on the physical sequences in flow pattern transitions, which so far have been studied by stability analysis alone. As liquid-liquid systems are involved, wide ranges of density and viscosity ratios are studied for various operational conditions.