A numerical model of a direct-contact evaporator is developed, which is used to calculate performance information about direct-contact heat transfer between a rising dispersed refrigerant and a counterflow continuous fluid. Results are compared with the existing experimental data. The numerical scheme involves slicing the column of the evaporator into a finite number of horizontal slices and applying continuity, population, and energy balances to each slice. Temperature and holdup ratio distributions through the evaporator are obtained for the operation of a 0.1-m-diameter column, using n-butane as the dispersed refrigerant and distilled water as the continuous fluid. Results are given for a range of values of the initial drop diameter, mass flow rate of the dispersed fluid, and mass flow rate of the continuous fluid.