Fallopian tube analysis of the peristaltic-ciliary flow of third grade fluid in a finite narrow tube

H. Ashraf, Abdul M. Siddiqui, M. A. Rana

Research output: Contribution to journalArticle

3 Citations (Scopus)

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. A mathematical model of peristalsis-cilia induced flow of viscoelastic fluid characterized by the third grade fluid model within the fallopian tubal fluid in a finite two dimensional narrow tube is developed. Non-linear partial differential equation resulting from the modelling of the proposed model is solved using perturbation method. Flow variables like axial and radial velocities, appropriate residue time over tube length, pressure difference over wavelength and stream function are analyzed for embedded parameters and constants. Salient features of the pumping characteristics and trapping phenomenon are discussed in detail. The analysis showed that embedded parameters and constants have opposite effects on axial velocity and appropriate residue time over tube length. Moreover, a comparison of the peristaltic flow with the peristaltic-ciliary flow and the third grade fluid with the linearly viscous fluid is made as a special case. The relevance of the current results to the transport of a developing embryo within the fallopian tubal fluid is also explored. It reveals that, third grade fluid instead of the linearly viscous fluid and the inclusion of cilia along with peristalsis help to complete the required mitotic divisions while transporting the developing embryo within the fallopian tubal fluid in the human fallopian tube.

Original languageEnglish (US)
Pages (from-to)605-621
Number of pages17
JournalChinese Journal of Physics
Volume56
Issue number2
DOIs
StatePublished - Apr 1 2018

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grade
tubes
fluids
embryos
viscous fluids
radial velocity
partial differential equations
division
mathematical models
pumping
trapping
inclusions
perturbation
wavelengths

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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title = "Fallopian tube analysis of the peristaltic-ciliary flow of third grade fluid in a finite narrow tube",
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. A mathematical model of peristalsis-cilia induced flow of viscoelastic fluid characterized by the third grade fluid model within the fallopian tubal fluid in a finite two dimensional narrow tube is developed. Non-linear partial differential equation resulting from the modelling of the proposed model is solved using perturbation method. Flow variables like axial and radial velocities, appropriate residue time over tube length, pressure difference over wavelength and stream function are analyzed for embedded parameters and constants. Salient features of the pumping characteristics and trapping phenomenon are discussed in detail. The analysis showed that embedded parameters and constants have opposite effects on axial velocity and appropriate residue time over tube length. Moreover, a comparison of the peristaltic flow with the peristaltic-ciliary flow and the third grade fluid with the linearly viscous fluid is made as a special case. The relevance of the current results to the transport of a developing embryo within the fallopian tubal fluid is also explored. It reveals that, third grade fluid instead of the linearly viscous fluid and the inclusion of cilia along with peristalsis help to complete the required mitotic divisions while transporting the developing embryo within the fallopian tubal fluid in the human fallopian tube.",
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Fallopian tube analysis of the peristaltic-ciliary flow of third grade fluid in a finite narrow tube. / Ashraf, H.; Siddiqui, Abdul M.; Rana, M. A.

In: Chinese Journal of Physics, Vol. 56, No. 2, 01.04.2018, p. 605-621.

Research output: Contribution to journalArticle

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