Abstract: The classical linear instability theory was applied to the planar stratified two-layers flow with high speed compressible gas layer impacting on incompressible viscous liquid layer. The walls were kept at different temperatures, resulting in heat transfer across the layers. The thermal conductivity and the density of the gas were alerted when the temperature changes.After some treatment, a four-order stiff ordinary differential equation was derived,and numerical integration and multi-shooting method were used to solve this equation for its spatial mode calculation. The numerical results of characteristic parameters show good coincidence with other models. At the same time, when the wall temperature ratio decreases,as well as the Reynolds number and the gas thermal conductivity change increases, the atomization would be more efficient and producing finer droplets. And the results show good fit with the experimental datum of HJE. Co. Inc (Glens Falls, NY, USA).