The evaporation of a cloud of droplets, with and without coalescence effects is studied. Analytic solutions of the discrete population balance equations are presented. Evolution in drop-size distributions is analyzed first for constant evaporation and coalescence coefficients, and then for coefficients which are a function of the time-dependent average drop-size diameter. Features of the behavior of sprays undergoing enhanced coalescence rate and simultaneous evaporation are analyzed using stability analysis of the balance equations. Motion of a monosize population of evaporating liquid droplets in developing pipe flows is analyzed analytically, using modified linearization of boundary-layer equations. Several modes of interaction between flow and droplets, depending on drag coefficient and relative velocity, are described.The present study shows that the average droplet size and a Damkohler-like number (which is the ratio of the characteristic evaporation rate and characteristic coalescence rate) are the most important parameters, which influence the evolution in droplet-size distribution during simultaneous evaporation and coalescence. Our results indicate that enhanced evaporation rate may suppress a formation of anomaly large droplets.