Kh. Cheng et al., MEASUREMENTS OF AIRWAY DIMENSIONS AND CALCULATION OF MASS-TRANSFER CHARACTERISTICS OF THE HUMAN ORAL PASSAGE, Journal of biomechanical engineering, 119(4), 1997, pp. 476-482
This paper presents measurements of the geometric shape, perimeter, an
d cross-sectional area of the human oral passage (from oral entrance t
o midtrachea) and relates them through dimensionless parameters to the
depositional mass transfer of ultrafine particles. Studies were perfo
rmed in two identical replicate oral passage models, one of which was
cut orthogonal to the airflow direction into 3 mm elements far measure
ment, the other used intact for experimental measurements of ultrafine
aerosol deposition, Dimensional data were combined with deposition me
asurements in two sections of the oral passage (the horizontal oral ca
vity and the vertical laryngeal-tracheal airway) to calculate the dime
nsionless mass transfer Sherwood number (Sh). Mass transfer theory sug
gests that Sh should be expressible as a function of the Reynolds numb
er (Re) and the Schmidt number (Sc). For inhalation and exhalation thr
ough the oral cavity (O-C), an empirical relationship was obtained for
flow rates from 7.5-30.0 1 min(-1): Sh = 15.3 (ReSc-0.986)-Sc-0.812 A
n empirical relationship was likewise obtained for the laryngeal-trach
eal (L-T) region over the same range of flow rates: Sh = 25.9 (ReSc-13
7)-Sc-0.861 These relationships were compared to heat transfer in the
human upper airways through the well-known analogy between heat and ma
ss transfer. The Reynolds number dependence for both the O-C and L-T r
elationships was in good agreement with that for heat transfer. The ma
ss transfer coefficients were compared to extrathoracic uptake of gase
s and vapors and showed similar flow rate dependence. For gases and va
pors that conform to the zero concentration boundary condition, the em
pirical relationships are applicable when diffusion coefficients are t
aken into consideration.