A multidimensional model for flows, sprays and combustion in engines is applied to study the entrainment characteristics of transient jets of relevance to Diesel and direct-injection spark-ignition engines. The following jets will be considered: solid-cone jets, hollow-cone jets and air-assist sprays. The entrainment characteristics will be evaluated by studying the evolution of lean, flammable and rich mixtures in the chamber. The focus of this work is on comparing the entrainment rates of jets from multi-hole solid-cone type jets with hollow-cone type jets. It will be shown that for the conditions considered in this work, the entrainment rate of the hollow-cone jets is less than that of the solid-cone jets. The effects of imparting swirl to the jets and to the air in the ambient will also be briefly discussed.