Examples of two-phase flows in the human body include particle-hemodynamics in branching arteries and toxic/therapeutic air-particle mixtures in the respiratory system. In this review, the fundamentals of modeling dilute particle suspensions are presented with computer applications to the geometric design of bypass graft-ends and the prediction of local aerosol depositions in the human upper airways. For the latter project, aerosols in the nano- and micro-size ranges, solid and liquid particles as well as evaporating droplets are considered. Specifically, the particle-hemodynamics project deals with the prediction of aggravating two-phase flow events leading to arterial diseases, such as atherosclerosis and hyperplasia, and subsequently the design of bypass grafts mitigating post-operative complications. The lung-aerosol project requires accurate and realistic computations of laminar-to-turbulent airflows and toxic (or therapeutic) particle depositions in the human airways for two applications: dosimetry-and-health-effect assessments of toxic particles and optimal drug aerosol delivery by inhalation. Two-phase flow results from different case studies are presented.

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