Anatomy

Physics

Mathematics

Operations research

Mechanics

Biology

Tangent

Geometry

Drag

Penetration (warfare)

Mathematical Modelling of Natural Phenomena

The goal of this research is to conduct a theoretical investigation about the effect of the electroosmotic forces on the swimming of sperms throughout the cervical canal. To imitate male semen with self-propulsive spermatozoa, a hyperbolic tangent fluid is used as the base liquid. Swimming sperms move inside a ciliated cervical canal and peristalsis occurs due to the ciliated walls. The perturbation method is used to solve the controlling partial differential set of equations analytically. Due to selfpropulsion of swimmers and long wavelength assumption, a creeping flow protocol is used throughout the stream. The stream pattern, velocity distribution, and pressure gradient (above and below the swimming sheet) solutions are produced and displayed with the relevant parameters. The outcomes of this manuscript show that the rheological parameters of hyperbolic tangent fluid are more appropriate to simulate and discuss the motility of cervical fluid. Moreover, the motility of mucus velocity is more applicable for small values of power law index n at the upper swimming sheet of propulsive spermatozoa. In addition, the mucus velocity increases in both region (upper and lower region of swimming sheet) with an increase of the electroosmotic parameter m e and Helmholtz-Smoluchowski velocity U HS . The present analysis provides a mathematical assessment to the swimmers’ interaction through the ciliated genital tract where the embryo is affected by the interaction of ciliary activity.

On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid