Magnetic Peristaltic Ciliary Flow Regulates an Embryo Growth in the Human Fallopian Tube

Abstract

The flow transport behavior in a peristaltic-ciliary fallopian tube in the human system caused by a sinusoidal pressure gradient due to magnetic lines of force has been investigated. A descriptive prototype model is established and presented in cylindrical coordinates for the fallopian tapered tubal linearly viscous fluid influenced by an external magnetic force in the human body. Under the wavelength approximation, the consequential partial differential equations governing this biological phenomenon are solved analytically. The solutions obtained are presented in modified Bessel functions of zeroth order of the first kind. Also, solutions are obtained for the velocity components along the axial and the radial directions, pressure gradient, pressure differences over a wavelength, and the stream function. The impacts of the various physical quantities of interest on the momentum transport, wavy curve patterns depicting the velocity range, and the pressure change are plotted. A comparison study of peristaltic, peristaltic-ciliary, and magnetic peristaltic-ciliary flows is also presented as a special case. Furthermore, the embryo's development in the interior of the narrow fallopian tube intramural fluid coming from the ampulla is discussed.