Detonation is a combustion regime that allows for generating high pressure and high temperature burned gas. Due to short time and space scales, the detonation front propagates as in adiabatic thermal conditions. However, the high temperature reached during this compressible combustion process induces high heat transfers to the wall, requiring the use of specific cooling systems in practical applications (steady conditions). Currently, wall heat flux is not well known and cannot be precisely predicted with standardly used formulations. Accurate databases need to be obtained from the simplest to the most representative conditions to master the wall heat flux in detonation combustion regime for practical application evaluation and control like in a RDE. This study will allow for determination of the effect of compressibility, of chemical reactions (CJ detonation) and dilution of fresh gas by residual burned gas (in RDE conditions) on heat transfers during the detonation front passing as well as during the burned gas period. The study will also try to correlate the detonation cell characteristics with the local unsteady heat flux.