Residual time of sinusoidal metachronal ciliary flow of non-Newtonian fluid through ciliated walls: fertilization and implantation
The monitoring of the ciliated walls in the uterine tube has supreme importance in enhancing the sperm to reach the egg (capacitation processes), and at peristaltic ciliary flow has a more favorable residual time along the canal when compared to the peristaltic flow. Based on the importance of this...
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| Veröffentlicht in: | Biomechanics and modeling in mechanobiology 2021-04, Vol.20 (2), p.609-630 |
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| creator | Zaher, A. Z. Moawad, A. M. A. Mekheimer, Kh. S. Bhatti, M. M. |
| description | The monitoring of the ciliated walls in the uterine tube has supreme importance in enhancing the sperm to reach the egg (capacitation processes), and at peristaltic ciliary flow has a more favorable residual time along the canal when compared to the peristaltic flow. Based on the importance of this study, a mathematical simulation of this process has been carried out by studying the behavior of a non-Newtonian magnetized fluid with a Darcy flow model with an oscillating wall having an internal ciliated surface. The governing equation is formed with Eyring-Powell fluid (tubal fallopian fluid) without using any approximations and solved using the Adomian analysis method. Using the vorticity formula, the components of the velocity function, pressure gradient, and stream function are obtained. The influence of relevant parameters is explained through diagramming and discussion. We also analyzed the residue time effects on the flow parameters. The results indicate that peristaltic ciliary flow has a more favorable residual time along the canal when compared to peristaltic flow. |
| doi_str_mv | 10.1007/s10237-020-01405-5 |
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The governing equation is formed with Eyring-Powell fluid (tubal fallopian fluid) without using any approximations and solved using the Adomian analysis method. Using the vorticity formula, the components of the velocity function, pressure gradient, and stream function are obtained. The influence of relevant parameters is explained through diagramming and discussion. We also analyzed the residue time effects on the flow parameters. 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Z.</au><au>Moawad, A. M. A.</au><au>Mekheimer, Kh. S.</au><au>Bhatti, M. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Residual time of sinusoidal metachronal ciliary flow of non-Newtonian fluid through ciliated walls: fertilization and implantation</atitle><jtitle>Biomechanics and modeling in mechanobiology</jtitle><stitle>Biomech Model Mechanobiol</stitle><addtitle>Biomech Model Mechanobiol</addtitle><date>2021-04-01</date><risdate>2021</risdate><volume>20</volume><issue>2</issue><spage>609</spage><epage>630</epage><pages>609-630</pages><issn>1617-7959</issn><eissn>1617-7940</eissn><abstract>The monitoring of the ciliated walls in the uterine tube has supreme importance in enhancing the sperm to reach the egg (capacitation processes), and at peristaltic ciliary flow has a more favorable residual time along the canal when compared to the peristaltic flow. Based on the importance of this study, a mathematical simulation of this process has been carried out by studying the behavior of a non-Newtonian magnetized fluid with a Darcy flow model with an oscillating wall having an internal ciliated surface. The governing equation is formed with Eyring-Powell fluid (tubal fallopian fluid) without using any approximations and solved using the Adomian analysis method. Using the vorticity formula, the components of the velocity function, pressure gradient, and stream function are obtained. The influence of relevant parameters is explained through diagramming and discussion. We also analyzed the residue time effects on the flow parameters. The results indicate that peristaltic ciliary flow has a more favorable residual time along the canal when compared to peristaltic flow.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><pmid>33389240</pmid><doi>10.1007/s10237-020-01405-5</doi><tpages>22</tpages></addata></record> |
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| subjects | Biological and Medical Physics Biomedical Engineering and Bioengineering Biophysics Canals Capacitation Engineering Fertilization Flow Fluid flow Mathematical models Newtonian fluids Non Newtonian fluids Original Paper Parameters Space life sciences Stream functions (fluids) Theoretical and Applied Mechanics Uterus Vorticity |
| title | Residual time of sinusoidal metachronal ciliary flow of non-Newtonian fluid through ciliated walls: fertilization and implantation |
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