Effect of Endometriosis to fallopian tube of the peristaltic-ciliary flow of third grade fluid in a finite narrow tube

In: Journal of Physics: Conference Series · 2020 · vol. 1530(1) , pp. 012035 · doi:10.1088/1742-6596/1530/1/012035 · W3028934725
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This theoretical study models the peristaltic-ciliary flow of a third-grade viscoelastic fluid in a finite tube, analyzing how endometriosis affects embryo transport by altering flow patterns and deriving expressions for pressure rise and velocities.

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This theoretical study employs a mathematical model to analyze the transport of a developing embryo within fallopian tube fluid, specifically examining how endometriosis alters peristaltic-ciliary flow. The researchers modeled the fluid as a viscoelastic third-grade non-Newtonian fluid in a finite narrow tube, solving nonlinear partial differential equations using perturbation methods under long wavelength and low Reynolds number approximations. Key findings indicate that endometriosis transforms the natural peristalsis-ciliary flow into a pure peristalsis flow, while the analysis derived expressions for pressure rise, axial velocity, and residue time based on various embedded parameters. This paper is centrally about endometriosis — specifically its theoretical impact on fallopian tube function and embryonic transport mechanisms.

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Abstract

Abstract The present prospective theoretical investigation deals with analysis of the peristaltic-ciliary transport of a developing embryo within the fallopian tubal fluid in the human fallopian tube under the effect6 of Endometriosis. This disease make the peristalsis ciliary flow become to peristalsis flow. A mathematical model induced flow of viscoelastic fluid characterized by the third grade fluid in a finite two dimensional narrow tube. That research is study the effect of couple stress to peristaltic –ciliary flow to Non-Newtonian fluids. Non-linear partial differential equations are solved by perturbation method. Flow variables like axial and radial velocities, appropriate residue time over tube length, pressure difference over have been derived under the assumption of long wavelength and low Reynolds number approximation and the expression for pressure rise is obtained by using wavelength and stream function are analysed for embedded parameter. This study is done through by the “MATHEMATICA”
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Abstract The present prospective theoretical investigation deals with analysis of the peristaltic-ciliary transport of a developing embryo within the fallopian tubal fluid in the human fallopian tube under the effect6 of Endometriosis. This disease make the peristalsis ciliary flow become to peristalsis flow. A mathematical model induced flow of viscoelastic fluid characterized by the third grade fluid in a finite two dimensional narrow tube. That research is study the effect of couple stress to peristaltic –ciliary flow to Non-Newtonian fluids. Non-linear partial differential equations are solved by perturbation method. Flow variables like axial and radial velocities, appropriate residue time over tube length, pressure difference over have been derived under the assumption of long wavelength and low Reynolds number approximation and the expression for pressure rise is obtained by using wavelength and stream function are analysed for embedded parameter. This study is done through by the “MATHEMATICA” Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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endometriosis

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last seen: 2026-05-14T06:00:56.359362+00:00
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