We consider a technology for granulation of asphalt from its mixture with supercritical pentane and construct a mathematical model for the process. We compare two nozzle designs intended for spraying the mixture and flash boiling of pentane. We show that a nozzle with a conical section is not susceptible to clogging by the asphalt. The pentane vaporization rate and the fraction of vapor phase increase owing to the presence of the asphalt phase.