Math. Model. Nat. Phenom.
Volume 17, 2022
Modelling and Simulations of Fluid Flows
|Number of page(s)
|12 August 2022
On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid
Instituto de Ciencias Matemáticas ICMAT, CSIC, UAM, UCM, UC3M, Madrid 28049, Spain
2 Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo 11837, Egypt
3 Basic Science, Faculty of Engineering, Shubra, Benha University, Cairo, Egypt
* Corresponding author: firstname.lastname@example.org
Accepted: 28 June 2022
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 me and Helmholtz-Smoluchowski velocity UHS. 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.
Mathematics Subject Classification: 35Q35 / 76W05 / 37N25 / 70E20
Key words: Electroosmotic forces / perturbation method / hyperbolic tangent fluid / swimming sperms transport / propulsive velocity / ciliated cervical canal
© The authors. Published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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