Abstract
This is an analytic study of mucous flow caused by ciliary motion. The computed flow data may be compared with that already found exprimentally. The effects of mucous density, viscosity and layer depth on flow phenomena are investigated. The effects of cilia diameter, length, spacing and oscillation frequency are determined from the equations governing the flow of the mucous blanket. A pertinent finding of the analysis is that the mucous flow in the airway tubes can satisfy physical constraints only through the assumption of a variable viscosity in the covering mucous blanket. The mucous viscosity must increase considerably from the low value at the cillium layer to a much higher value at the air-mucus interface.
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Literature
Ewert, G. 1965. “On the Mucus Flow in the Human Nose.”Acta Otolaryngol., Suppl. 200.
Landau, L. D. and E. M. Lifshitz. 1959.Fluid Mechanics. Boston: Addison-Wesley Press, p. 91.
Lucus, A. M. and L. C. Douglas. 1934. “Principles Underlying Ciliary Activity in the Respiratory Tract, II. A Comparison of Nasal Clearance in Man, Monkey, and other Mammals.”Arch. Otolaryngol.,20, 518–541.
Rivera, J. A. 1962.Cilia, Ciliated Epithelium, and Ciliary Activity. New York: Pergamon Press, p. 12.
Tomoptika, S. and T. Aoi. 1951. “An Expansion Formula for the Drag on a Circular Cylinder Moving Through a Viscous Fluid at Small Reynolds Numbers.”Q.J. Mech.,4, 401–406.
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Barton, C., Raynor, S. Analytical investigation of cilia induced mucous flow. Bulletin of Mathematical Biophysics 29, 419–428 (1967). https://doi.org/10.1007/BF02476581
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DOI: https://doi.org/10.1007/BF02476581