IJPAM: Volume 90, No. 3 (2014)

A COMPARATIVE OF ANALYTICAL AND NUMERICAL
SIMULATIONS FOR THE OSCILLATING AIRFLOW
IN A HUMAN ORAL AIRWAY

S. Kongnuan$^1$, Unchulee Na-Thakuatung$^2$, J. Pholuang$^3$
$^{1,2,3}$Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University
Rangsit Center, Khlong Luang, Pathum Thani, 12121, THAILAND
$^{1}$Centre of Excellence in Mathematics
CHE, Si Ayutthaya Rd., Bangkok, 10400, THAILAND


Abstract. Understanding and more accurate simulation of the oscillation airflow are important to aerosolized therapy. To assure the power of simulation by analytical method, in this paper, we present an effective computational method of finite element analysis to compared with the results obtained by an analytical expression in a Fourier series-based form which is presented by S. Kongnuan and J. Pholuang in their previous work. The finite element analysis is implemented by using the commercial software, COMSOL Multiphysics$^{\circledR}$ 3.5a. The airflow fields at different times of each breathing period by both methods are simulated and then compared. The comparative of the results from both methods show a good agreement and agree to the fact of the airflow in a human airway and other related publications.

Received: August 29, 2013

AMS Subject Classification: 65M60, 76D05, 92B05, 97M60

Key Words and Phrases: human oral airway, Navier-Stokes equations, analytical solution, Fourier series, finite element method, mathematical modelling, oscillating airflow

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DOI: 10.12732/ijpam.v90i3.6 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 3