Experimental data are presented which illustrate heat transfer characteristics of the turbulent supercritical flow in vertical circular/ non-circular channels. The working fluid was carbon-dioxide operating at a constant pressure of 8 MPa. Experiments were conducted at various conditions with inlet bulk fluid temperatures ranging from 15 to 32 degrees C, imposed heat fluxes from 3 to 180 kW/m(2), and mass fluxes from 209 to 1230 kg/m(2) s. The corresponding Reynolds numbers were within the range of 3 x 10(4) to 1.4 x 10(5). Wall temperatures are presented for the three channels with different cross-sectional shapes. These were measured by thermocouples installed on the outer surface of the heating section, and are compared with each other at the same heat flux and mass flux conditions. (c) 2007 Elsevier Ltd. All rights reserved.