The study has been carried out in the framework of heart perfusion. The myocardium is usually irrigated by two coronary arteries, the entries of which are located in the Valsalva sinuses of the aortic root, slightly above the open leaflets of the aortic valve. The present investigation is aimed at determining a representative model of the thoracic aorta, especially of its ascending segment with the aortic valve and the coronary arteries, as well as the aortic arch, which commonly gives rise to three main branches irrigating the upper body parts, and the descending aorta. The model is developed using a CAD software and then meshed. Finally, steady flow simulations are performed using the CFD solver Fluent.