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Double-diffusion convective biomimetic flow of nanofluid in a complex divergent porous wavy medium under magnetic effects

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Abstract

We explore the physical influence of magnetic field on double-diffusive convection in complex biomimetic (peristaltic) propulsion of nanofluid through a two-dimensional divergent channel. Additionally, porosity effects along with rheological properties of the fluid are also retained in the analysis. The mathematical model is developed by equations of continuity, momentum, energy, and mass concentration. First, scaling analysis is introduced to simplify the rheological equations in the wave frame of reference and then get the final form of equations after applying the low Reynolds number and lubrication approach. The obtained equations are solved analytically by using integration method. Physical interpretation of velocity, pressure gradient, pumping phenomena, trapping phenomena, heat, and mass transfer mechanisms are discussed in detail under magnetic and porous environment. The magnitude of velocity profile is reduced by increasing Grashof parameter. The bolus circulations disappeared from trapping phenomena for larger strength of magnetic and porosity medium. The magnitude of temperature profile and mass concentration are increasing by enhancing the Brownian motion parameter. This study can be productive in manufacturing non-uniform and divergent shapes of micro-lab-chip devices for thermal engineering, industrial, and medical technologies.

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Acknowledgements

The authors received funding from the Researchers Supporting Project (RSP-2021/58), the King Saud University, Riyadh, Saudi Arabia.

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Authors and Affiliations

  1. Department of Mathematics, Northern University, Wattar-Nowshera, KPK, 24110, Pakistan

    Khurram Javid

  2. Department of Mathematics, COMSTAS University Islamabad, Lahore Campus, Lahore, 54000, Pakistan

    Mohsan Hassan

  3. Department of Mathematics, National Institute of Technology Uttarakhand, Srinagar, 246174, Uttarakhand, India

    Dharmendra Tripathi

  4. College of Engineering, King Saud University, P.O. Box 800, Riyadh, 11421, Saudi Arabia

    Salahuddin Khan

  5. Department of Medical and Surgical Specialties, Faculty of Medicine, Transilvania University of Brasov, Brasov, Romania

    Elena Bobescu

  6. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China

    Muhammad Mubashir Bhatti

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  1. Khurram Javid
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Correspondence to Muhammad Mubashir Bhatti.

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Javid, K., Hassan, M., Tripathi, D. et al. Double-diffusion convective biomimetic flow of nanofluid in a complex divergent porous wavy medium under magnetic effects. J Biol Phys 47, 477–498 (2021). https://doi.org/10.1007/s10867-021-09583-8

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