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Unsteady three-dimensional MHD flow and heat transfer in porous medium suspended with both microorganisms and nanoparticles due to rotating disks

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Abstract

In the present study, the silent characteristics of magnetized mixed convection flow in porous medium suspended with both microorganisms and nanoparticles induced by two expanded or contracted disks are investigated. The Buongiorno’s model, in which the Brownian diffusion and thermophoresis are taken as dominant factors, is introduced to describe behaviors of the nanofluid. Multiple slip boundary conditions are also included into this problem. The nonlinear system is converted into five fully coupled nonlinear ordinary differential equations via suitable scaling transformations. The homotopy-based algorithm BVPh2.0 is employed to give their solutions. Physical interpretation is made through analyzing the graphs of different constraints for profiles of velocity, temperature, nanoparticle volume concentration and density of motile organism. Furthermore, we extend this model to seek the physical behaviors of heat transfer and the wall motile microorganism fluxes. Significant findings are presented, including that the wall expansion ratio and the magnetic parameter impose contrary effects on microorganism profiles, the Prandtl number and the radiation parameter play opposite roles on heat transfer rate, and the Brownian motion and the thermophoresis exhibit totally different influence on microorganism flux rate. It is expected that this study is helpful to understand heat transfer mechanism in multiple physical fields.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (Grant No. 11872241).

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Authors and Affiliations

  1. State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Tariq Hussain & Hang Xu

  2. School of Computer and Software Engineering, Huaiyin Institute of Technology, 1 Meicheng Rd., Huaian, 223003, Jiangsu, People’s Republic of China

    Ammarah Raees

  3. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, People’s Republic of China

    Qing-Kai Zhao

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  1. Tariq Hussain
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  4. Qing-Kai Zhao
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Correspondence to Hang Xu.

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Hussain, T., Xu, H., Raees, A. et al. Unsteady three-dimensional MHD flow and heat transfer in porous medium suspended with both microorganisms and nanoparticles due to rotating disks. J Therm Anal Calorim 147, 1607–1619 (2022). https://doi.org/10.1007/s10973-020-10528-x

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