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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 4
First page : ( 614) Last page : ( 618)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00104.8

Analytical Solution of Dusty Viscous Air Flow through A Human Respiratory Tract with Time Varying Pressure Gradient

Chitra M.1,*, Shabana S.2

1Associate Professor, Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamilnadu, India

2Research Scholar, Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamilnadu, India, shabanamuzu@gmail.com

*Corresponding Author E-mail: chitratvu@gmail.com

Online published on 12 June, 2018.

Abstract

The unsteady laminar flow of a dusty viscous airflow with uniform distribution of dust particles during inhalation in the trachea of the human respiratory tract under the influence of time dependent exponential pressure gradient have been investigated. The governing equations are solved analytically by using Hankle transformation. The effect of dust parameters are the mass concentration of the dust ′f′ and relaxation time ′τ′ on velocity and wall shear stress of clean air, air with fine dust particles are computed graphically.

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Keywords

Laminar flow, Exponential pressure gradient, Mass concentration, Relaxation time, Fine dust particles.

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