The results of application possibility research of the optimized body form with the minimal force of aerodynamic resistance as a heat sink in a convective gas flow are presented in the paper. The computational experiment was carried out in the Ansys Fluent software system. The conditions of comparison of heat-conducting bodies in the computational experiment are the preservation of constants: the volume and shape of the working area; distances from sources, drains and centers of bodies; gas flow rates; body mass; thermal power source and other secondary characteristics in addition to just the very shape of the surface. The main advantage of the resulting optimized body shape is that it coincides with the streamlines, thereby not separating flow from the surface around it. Thus, the entire surface area will be the effective surface area of the heat sink, unlike other compared forms of bodies, due to which the temperature of the heat-loaded element placed in the center of the heat sink will decrease.