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Swimming of gyrotactic micro-organisms within the Williamson blood nano fluid model and solar mimetic system over the peristaltic arterial wall

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Abstract

The leading investigation focuses on the current scenario of peristaltic action with gyrotactic micro-organisms and Williamson nano fluid through the arterial wall under the highlighted impacts of solar mimetic appliance and magneto-hydrodynamics effect. The animation of chemical reaction takes place with the collaboration of activation energy and solar system as encountered through Rosseland’s estimations. The Buongiorno model is applied for further analysis of Brownian diffusion and thermophoresis effects on thermal radiation, chemical reactions, and the dynamics of gyrotactic micro-organisms. In such peristaltic action, viscosity as well as conductivity is presumed to vary with temperature. The controlled DE’s (differential equations) are interpreted by taking the assumption of the lowest Reynolds number and highest wavelength, and numerical findings for such a non-dimensional set of equations were launched by employing the BVP4c technique. Through the use of pictorial interpretations, the implications of diverse physical parameters upon the flow stream, the dynamics of gyrotactic micro-organisms, thermal radiations and concentration distribution were calculated. Major findings about velocity depict that viscosity and the Williamson variable decline the velocity profile due to the resistive behavior of these forces. The magneto-hydrodynamics effect produces a Lorentz retarded force, which slows blood motion during surgical scenarios. The heating phenomenon is accelerated by the Brownian motion variable and the thermophoresis parameter. The activation energy parameter results in a low concentration distribution, whereas the Brownian motion parameter causes a higher density of motile microorganisms. The bio-convection constant and peclet number diminish the motile micro-organism density. The conductivity parameter increases the temperature profile in the pumping section while the Prandtl number slows down the heating phenomenon.

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Authors and Affiliations

  1. Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan

    Azad Hussain, Naila Farooq & Naveel Dar

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  1. Azad Hussain
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  2. Naila Farooq
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Hussain, A., Farooq, N. & Dar, N. Swimming of gyrotactic micro-organisms within the Williamson blood nano fluid model and solar mimetic system over the peristaltic arterial wall. Comp. Part. Mech. 10, 1669–1683 (2023). https://doi.org/10.1007/s40571-023-00581-2

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