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Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application

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  • Sara I. Abdelsalam

    (Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo 11837, Egypt
    Instituto de Matemáticas—Juriquilla, Universidad Nacional Autónoma de México, Blvd. Juriquilla 3001, Querétaro 76230, Mexico)

  • Abdullah Z. Zaher

    (Engineering Mathematics and Physics Department, Faculty of Engineering, Shubra-Benha University, Cairo 11629, Egypt)

Abstract

The present work presents a mathematical investigation of a Rabinowitsch suspension fluid through elastic walls with heat transfer under the effect of electroosmotic forces (EOFs). The governing equations contain empirical stress-strain equations of the Rabinowitsch fluid model and equations of fluid motion along with heat transfer. It is of interest in this work to study the effects of EOFs, which are rigid spherical particles that are suspended in the Rabinowitsch fluid, the Grashof parameter, heat source, and elasticity on the shear stress of the Rabinowitsch fluid model and flow quantities. The solutions are achieved by taking long wavelength approximation with the creeping flow system. A comparison is set between the effect of pseudoplasticity and dilatation on the behaviour of shear stress, axial velocity, and pressure rise. Physical behaviours have been graphically discussed. It was found that the Rabinowitsch and electroosmotic parameters enhance the shear stress while they reduce the pressure gradient. A biomedical application to the problem is presented. The present analysis is particularly important in biomedicine and physiology.

Suggested Citation

  • Sara I. Abdelsalam & Abdullah Z. Zaher, 2021. "Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application," Mathematics, MDPI, vol. 9(16), pages 1-25, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2008-:d:619287
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    References listed on IDEAS

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    1. Nguyen-Thoi, Trung & Sheikholeslami, M. & Hamid, Muhammad & Haq, Rizwan-ul & Shafee, Ahmad, 2019. "CVFEM modeling for nanofluid behavior involving non-equilibrium model and Lorentz effect in appearance of radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
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    Cited by:

    1. Najiyah Safwa Khashi’ie & Iskandar Waini & Anuar Ishak & Ioan Pop, 2022. "Blasius Flow over a Permeable Moving Flat Plate Containing Cu-Al 2 O 3 Hybrid Nanoparticles with Viscous Dissipation and Radiative Heat Transfer," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    2. Thumma, Thirupathi & Mishra, S.R. & Abbas, M. Ali & Bhatti, M.M. & Abdelsalam, Sara I., 2022. "Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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