Dorsal Displacement of Soft Palate (DDSP) is a commonly observed upper-airway respiratory disorder in horses, especially while racing. Either solely or in combination with other conditions, DDSP is one of the most common causes for performance retardation and abnormal respiratory noise in equine athletes. However, the exact causes for the occurrence of DDSP are not yet understood clearly. Besides, little is known about the dynamic pressure and velocity distributions that may contribute to dynamic collapse of the soft palate into the upper airway. In this work, the airflow through the equine upper airway was studied using Computational Fluid Dynamics in order to investigate if there is correlation between a particular flow regime and the occurrence of DDSP. Post-mortem CT scan images of the upper airway were used to develop a computational domain, representative of the actual airway geometry. Numerical computations were performed in order to solve the flow field for different geometries and breathing conditions. The results of the numerical solutions were validated by comparing with experimental results recorded in literature. Pressure and velocity distributions were studied throughout the domain in order to find out if there is a correlation between the flow field and the occurrence of DDSP. The various assumptions applied to the mathematical modeling applied were discussed.