International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 8, Issue 5 (September-October 2026) Submit your research before last 3 days of October to publish your research paper in the issue of September-October.
Submit Research Paper Join as a Reviewer

Plagiarism is checked by the leading plagiarism checker TurnItIn

Call for Paper

Volume 8 Issue 5
September-October 2026

Submit your research paper

Indexing Partners
Academia Advanced Sciences Index Bielefeld Academic Search Engine CiteSeer DRJI Google Scholar Independent Search Engine & Directory Network ISI (International Scientific Indexing) Issuu Mendeley Research Networks
RefSeek ResearcherId - Thomson Reuters ResearchGate Scirus Scribd Semantic Scholar UTeM - Universiti Teknikal Malaysia Melaka Wiki for Call for Papers WorldCat Zenodo

Mathematical Modeling of Casson type Biofluid transport in a Gynecological reproductive-tract

Author(s) Ms. Kirthika R, Dr. Karthikeyan S
Country India
Abstract Transport within the female reproductive tract is governed by the coupled action of ciliary activity, smooth-muscle contractility and luminal tubal fluid. The fallopian tube is a seromuscular organ with infundibular, ampullary, isthmic and intramural regions; coordinated ciliary motion, muscular activity and tubal fluid contribute to transport. This study develops a reduced-order continuum model in which a Casson-type constitutive law represents a yield-stress biological fluid. The incompressible continuity and Navier–Stokes equations are formulated in a two-dimensional deformable channel. A travelling-wave transformation, long-wavelength approximation and low-Reynolds-number limit reduce the PDE system to a nonlinear ODE boundary-value problem. The ODEs are written in first-order form and solved using classical fourth-order Runge–Kutta integration with a shooting procedure. Dimensionless parameters include Reynolds number, wave-number ratio, amplitude ratio and a Casson/yield-stress parameter. Illustrative computations demonstrate velocity-profile flattening, plug-region formation, pressure-gradient modulation, pressure rise and RK4 convergence. The framework is intended for mechanistic research on reproductive-tract transport and should not be interpreted as a clinical predictive model.
Keywords Casson fluid, non-Newtonian flow, fallopian tube, oviduct, peristalsis, ciliary transport, reproductive tract, yield stress, travelling wave, long wavelength, low Reynolds number, Runge–Kutta, shooting method.
Field Mathematics > Maths + Physics
Published In Volume 8, Issue 5, September-October 2026
Published On 2026-09-11
View / Download PDF File

Share this



E-ISSN 2582-2160
CrossRef

CrossRef DOI prefix of IJFMR is 10.36948/ijfmr

Downloads
Research Paper Format Copyright Permission Form and Undertaking Form

All research papers published on this website are licensed under Creative Commons Attribution-ShareAlike 4.0 International License, and all rights belong to their respective authors/researchers.

CC-BY-SA Open Access

About IJFMR
Fees & Payment
Current Issue
Publication Archive 		Submit Research Paper
Track Submission Status
Publication Guidelines
Publication Ethics
Peer Review & Plagiarism 		Join as a Reviewer
Editors & Reviewers
Reviewer Referral Program
Get Reviewer Membership Certi. 		Website/Journal Policies
Usage Policy
Content Policies
Privacy Policy
Contact Us +91-9687-828-838 editor@ijfmr.com
Powered by Sky Research Publication and Journals