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Biomimetic amelioration of zirconium nanoparticles on a rigid substrate over viscous slime — a physiological approach

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Abstract

In this article, an investigation is conducted to study the precise role of zirconium nanoparticles that exist in a slime-like fluid subject to specific adjustments. Since gliding is a technique of mobility used by bacteria that lack motility components, bacteria travel on their own strength in gliding locomotion by secreting a layer of slime on the substrate. A model of an undulating sheet over a layer of slime of a Rabinowitsch fluid is investigated as a potential model of bacteria’s gliding motility. With the aid of long wavelength approximation, the equations governing the circulation of slime underneath the cells are established and analytically solved. The effects of pseudoplasticity, dilatation and non-Newtonian parameter on the behavior of zirconium concentration, speed of microorganism (bacteria), streamline patterns, and pressure rise for non-Newtonian and Newtonian fluids are compared. The power required for propulsion is also investigated. Physical interpretation for the pertinent variables has been graphically discussed against the parameters under consideration. It is found that with the increase in the concentration of zirconium nanoparticles, the bacterial flow is accelerated and attains its maximum near the rigid substrate wall while an opposite behavior is noticed in the rest region.

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Acknowledgements

S. I. ABDELSALAM expresses her deep gratitude to Fundación Mujeres por África for supporting this work through the fellowship awarded to her in 2020. The authors also would like to thank Dr. Angel CASTRO for his constructive comments that contributed to improving the article.

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Authors and Affiliations

  1. Instituto de Ciencias Matemáticas ICMAT, Madrid, 28049, Spain

    S. I. Abdelsalam

  2. Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo, 11837, Egypt

    S. I. Abdelsalam

  3. Basic Science Department, Faculty of Engineering, Shubra-Benha University, Cairo, 11884, Egypt

    A. Z. Zaher

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  1. S. I. Abdelsalam
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  2. A. Z. Zaher
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Correspondence to S. I. Abdelsalam.

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Citation: ABDELSALAM, S. I. and ZAHER, A. Z. Biomimetic amelioration of zirconium nanoparticles on a rigid substrate over viscous slime — a physiological approach. Applied Mathematics and Mechanics (English Edition), 44(9), 1563–1576 (2023) https://doi.org/10.1007/s10483-023-3030-7

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Abdelsalam, S.I., Zaher, A.Z. Biomimetic amelioration of zirconium nanoparticles on a rigid substrate over viscous slime — a physiological approach. Appl. Math. Mech.-Engl. Ed. 44, 1563–1576 (2023). https://doi.org/10.1007/s10483-023-3030-7

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  • DOI: https://doi.org/10.1007/s10483-023-3030-7

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