Unsteady Flow Of A Dust Particles Through Human Airways: Effects Of Uniform Magnet

The unsteady unidirectional laminar flow of Newtonian, viscous, compressible fluid with uniform distribution of dust particles under the influence of uniform magnetic field during inhalation in the trachea of the human respiratory tract have been investigated. The effects of dust particles under influence of magnetic micro particles are described in three parameters, the mass concentration of the dust β , relaxation time γˈ and magnetic field H, which measures the rate at which the velocity of the dust particles with magnetic field adjusts in the velocity of the clean air and depends upon the size of the individual particles. Analytical expression for the velocity of clean air , air with fine and coarse dust particle under the influence of uniform magnetic field with arbitrary constant pressure gradient have been derived. The velocities, wall shear stress distribution flow rate for clean air and air with fine dust particles, and air with coarse dust particles with uniform magnetic field in the human trachea for different radial coordinate and for different time due to effect of dust parameters β and γˈ with magnetic field H are computed graphically.

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