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Biomechanics of Swimming Microbes in Atherosclerotic Region with Infusion of Nanoparticles

  • Research Article-Biological Sciences
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Abstract

This study is focused to investigate the blood flow pattern with motion of motile gyrotactic microorganisms. Since nanoparticles play an essential factor for enhancing delivery efficiency in vascular flow therefore physiochemical properties of these particles are considered in this examination. Prandtl fluid characteristics are instigated to discuss the blood flow rheology. Moreover, considerations of gyrotactic microbes with nanoparticles will exaggerate the thermal features of considered base fluid. The governing model output containing coupled nonlinear systems is evaluated by HPM technique. The features of flow defining parameters in an anisotropic stenotic region with motile microbes are inspected and presented through different illustrations. It is concluded from the governing nanofluid model that with addition of gyrotactic microbe’s hemodynamics factors of stenotic lesion are enhanced. Heat transfer rate phenomena depict opposite trends for nanoparticles key parameters involved in a governing problem.

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Abbreviations

\({\vartheta }\) :

Average volume of the microorganism

\(n\) :

Concentration of the microorganism

\({\rho }_{p}\), \({\rho }_{m}\) :

Density of the nanoparticles and microorganism, respectively

\({T}_{e}\) :

Base fluid volumetric coefficient

\({\overline{D} }_{T}\),\({\overline{D} }_{B}\) :

Brownian diffusion terms

\({k}_{f}\) :

Coefficient of thermal conductivity

\(\tau \) :

Ratio of nanoparticle material heat capacity to fluid heat capacity

\((\rho c{)}_{f}, (\rho c{)}_{p}\) :

Coefficients of volumetric heat capacity and nanoparticle

\({T}_{g}\) :

Local temperature Grashof number

\({N}_{g}\) :

Local nanoparticle Grashof number

\({R}_{b}\) :

Bioconvection Rayleigh number

\({T}_{b}\),\({T}_{t}\) :

Brownian motion and thermophoresis terms

\({P}_{t}\) :

Peclet number

\(\Theta \) :

Constant term

\(\alpha , \beta \) :

Fluid features defining parameter

\(\chi \) :

Motile microbe’s movement expression

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University Taxila, Taxila, Pakistan

    S. Ijaz, M. Batool, R. Mehmood, Z. Iqbal & E. N. Maraj

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  1. S. Ijaz
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  2. M. Batool
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Correspondence to S. Ijaz.

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Ijaz, S., Batool, M., Mehmood, R. et al. Biomechanics of Swimming Microbes in Atherosclerotic Region with Infusion of Nanoparticles. Arab J Sci Eng 47, 6773–6786 (2022). https://doi.org/10.1007/s13369-021-06241-y

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