Models of microexplosive atomization of two-liquid unmixed drops under high-temperature heating are developed. Two most common mechanisms, namely, superheating of interphase boundary and critical bubble size, are chosen as atomization criteria. Two mathematical models, one based on solution of heat conduction equation and the other on VOF, are presented. The studied drops contain rapeseed oil and aqueous suspension of graphite. Experiments were conducted to determine the time lag of atomization of moving two-liquid unmixed drops under high-temperature heating. The theoretical and experimental atomization time lag values are found to be in satisfactory agreement. The results can be used to develop existing and create new gas-vapor-droplet technologies in chemical and petroleum engineering fields because they help predict the conditions of intense secondary atomization of heterogeneous drops by microexplosive dispersion.