Abstract

Air flow in nose and sinuses is studied by means of a simple model based on the steady-state ideal fluid flow assumption and repeated use of Bernoulli’s equation. In particular, by describing flow of air drawn in through the vestibulumnasi during inspiration, we investigate how ventilation of the maxillary sinus is affected by surgical removal of part of the lateral walls of the nasal cavity close to the ostiummeatal complex. We find that, according to the model proposed, removal of tissues from this inner part of the nasal cavity may cause a decrease of the flux rate from the maxillary sinus.

Highlights

  • The human ventilation system works by means of gaseous exchanges, which takes place between the nose and sinus cavities, and between the latter and the blood circle through the mucosa [1]

  • One might argue that surgical removal of anatomical structures close to the ostiummeatal complex might worsen the ventilation functional efficacy of the maxillary sinus

  • Air flow in the nasal cavity is studied by means of a simple model resting on the stationary ideal fluid flow hy

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Summary

Introduction

The human ventilation system works by means of gaseous exchanges, which takes place between the nose and sinus cavities, and between the latter and the blood circle through the mucosa [1]. A correct anatomical and physiological equilibrium which is able to generate effective pressure gradients inside the nasal cavity plays an important role in the ventilation of the sinus cavities. At the beginning of each nasal inhalation action, a negative nose pressure is generated, in such a way that air flows out from the sinus cavities, due to the effect of aspiration. The problem of air flow through the ostiummeatal complex coming from the maxillary sinus is studied by means of repeated use of Bernoulli’s equation.

The Model
Perturbation Solution and Approximated Results
Conclusion
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