Exponential similarity free convection boundary layers over curved surfaces

This paper reports novel similarity solutions of exponential type for the s teady free convection boundary-layer flow over two-dimensional heated bodie s of arbitrary surfaces. The existence of a two-parameter family of curved surfaces is shown to exist. The geometrical characteristics of these surfac es, described in terms of elementary transcendental functions, are discusse d in detail. Compared to the well known body shapes which permit similar fr ee convection flows of power-law type, substantial differences (as cusps at the leading edge, concave shapes going over in horizontal plateaus, etc.) have been found.