The humidification-dehumidification (HDH) process, using a direct contact heat exchanger with a packed bed, is an economical approach for water treatment. This research focuses on the crossflow direct-contact condenser which constitutes an important component of HDH systems. A major advantage of these condensers is their compact structure, ease of installation, and low cost. A new shape for the packed bed, with a cross-section that increases along with the horizontal air-vapor flow, is proposed to improve performance. A two-dimensional mathematical model is also developed to accommodate the more complex geometry and estimate performance. A cubic system was studied and compared with a wedge geometry in which the cross-section area of air-vapor at the inlet was half of the area at the outlet. Computational results show that, for the same volume of the packed bed, the wedge-shaped crossflow condenser can be more effective in terms of water production.