The constructal law was postulated in 1996 as the law of physics that accounts for the phenomenon of time evolution of configuration in all flow systems that have the freedom to morph: animate and inanimate, human made and not human made, social and individual. The constructal-law field has grown rapidly during the past two decades, particularly with applications to evolutionary design in technology, and with predictions of evolutionary design in biology, geophysics, and social organization. In this review, we highlight some of the current research trends in this field. The topics chosen are from the past 5 years from the activity in our own group, for example, energy storage, heat exchangers, porous media, and technology evolution. The review ends with future directions for research in this very active field.