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Abstract
The analysis of peristaltic-ciliary transport in the human female fallopian tube, specifically in relation to the growing embryo, is a matter of considerable physiological importance. This paper proposes a biomechanical model that incorporates a finite permeable tube consisting of two layers, where the Jeffrey fluid model characterizes the viscoelastic properties of the growing embryo and continuously secreting fluid. Jeffrey fluid entering with some negative pressure gradient forms the core fluid layer while continuously secreting Jeffrey fluid forms the peripheral fluid layer. The resulting partial differential equations are solved for closed-form solutions after employing the assumption of long wavelength. The analysis delineated that increasing the constant secretion velocity, Darcy number, and Reynolds number leads to a decrease in the appropriate residue time of the core fluid layer and a reduction in the size of the secreting fluid bolus in the peripheral fluid layer. Eventually, the boluses completely disappear when the constant secretion velocity exceeds 3.0 Progesterone (
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Details
1 University of Okara, Department of Mathematics, Okara, Pakistan (GRID:grid.508556.b) (ISNI:0000 0004 7674 8613)
2 University of Sargodha, Department of Mathematics, Sargodha, Pakistan (GRID:grid.412782.a) (ISNI:0000 0004 0609 4693); University of Management and Technology, Department of Mathematics, Lahore, Pakistan (GRID:grid.444940.9)
3 King Saud University, Mathematics Department, College of Science, Riyadh, Saudi Arabia (GRID:grid.56302.32) (ISNI:0000 0004 1773 5396)
4 Zhejiang Normal University, School of Mathematical Sciences, Jinhua, China (GRID:grid.453534.0) (ISNI:0000 0001 2219 2654)
5 Hameed Latif Hospital, Lahore Institute of Fertility & Endocrinology, Lahore, Pakistan (GRID:grid.508556.b)
6 The University of Child Health and Sciences (Children Hospital), Postgraduate Resident MD Pediatrics, Lahore, Pakistan (GRID:grid.508556.b)