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Blunt trauma to large vessels: a mathematical studyAbstract: We applied Navier-Stokes, multiphase and boundary layer equations to examine such stress. The method of approximation to solve the BL equations was used. Experiments were conducted in an aerodynamic tube, where incident flow velocity and weight of carriage with particles before and after blowing were measured.We found that sudden compression resulting from trauma leads to (1) BLS on the curved surface of the vessel wall; (2) transfer of laminar boundary layer into turbulent boundary layer. Damage to the endothelium can occur if compression is at least 25% and velocity is greater than 2.4 m/s or if compression is at least 10% and velocity is greater than 2.9 m/s.Our research may point up new ways of reducing the damage from blunt trauma to large vessels. It has the potential for improvement of safety features of motor vehicles. This work will better our understanding of the precise mechanics and critical variables involved in diagnosis and prevention of blunt trauma to large vessels.Blunt trauma to large vessels is well recognized outcome in patients with chest, abdominal or pelvic contusion [1,2]. Thoracic aortic rupture carries a mortality rate of over 90%, with on-scene death occurring in more than 80% of individuals with this injury [1,2]. Even minimal aortic injuries are important, since the potential adverse consequences of not operatively repairing minimal aortic injuries, defined as a small (<1 cm) intimae flap with no or minimal periaortic hematoma, include formation, enlargement, and rupture of pseudoaneurysm, embolism of loose intima, or thrombus and progressive dissection of the aortic wall [3,4].Compression of the chest, abdomen or pelvis as a result of injury changes hemodynamics of the blood. This short-term compression also causes a transient decrease in the diameter of the aorta and other blood vessels. Fox and McDonald have shown that a sudden change in the diameter of the tube or in the direction of the flow, causes the slower-moving fluid near the
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