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Exploring the heat transfer and entropy generation of Ag/Fe\(_3\)O\(_4\)-blood nanofluid flow in a porous tube: a collocation solution

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Abstract

 Evaluating the entropy generation is essential in thermal systems to avoid the unnecessarily wasted thermal energy during the thermal processes. Nowadays, researchers are greatly fascinated to scrutinize the entropy generation in a human system because it is utilized as a thermodynamic approach to understand the heat transfer characteristics of cancer systems or wounded tissue and their accessibility status. Further, numerous nanoparticles have been employed as an agent to control the heat transfer of blood and wounded tissue. As a result, the present model manifests the entropy generation, flow characteristics and heat transport of Ag/Fe\(_3\)O\(_4\)-blood flow of a nanofluid in a permeable circular tube with the influence of variable electrical conductivity and linear radiation. Nonlinear transport equations are converted into ordinary differential equations by suitable similarity variables which are solved with weighted residual method. Significant parameters like Reynolds number, dimensionless permeability parameter, extending/contracting parameter, Eckert number and Hartmann number on the radial pressure, axial velocity, radial velocity and temperature are explored through graphs. The obtained results show that temperature distribution of Fe\(_3\)O\(_4\) nanoparticles is higher than Ag nanoparticle, in case of suction. The dimensionless permeability parameter has an opposite nature on the radial pressure for the suction and injection cases. Growing values of Hartmann number enhance the total entropy generation for the cases of suction and injection.

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Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, India

    H. Thameem Basha & R. Sivaraj

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  1. H. Thameem Basha
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  2. R. Sivaraj
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Contributions

The first author H. Thameem Basha has formulated the mathematical model, solved numerically, and written the manuscript. The corresponding author R. Sivaraj has verified the mathematical model, solution procedure, numerical results, and improved the manuscript writing.

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Correspondence to R. Sivaraj.

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Basha, H.T., Sivaraj, R. Exploring the heat transfer and entropy generation of Ag/Fe\(_3\)O\(_4\)-blood nanofluid flow in a porous tube: a collocation solution. Eur. Phys. J. E 44, 31 (2021). https://doi.org/10.1140/epje/s10189-021-00024-x

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