4.6 Article

Numerical Computation for Gyrotactic Microorganisms in MHD Radiative Eyring-Powell Nanomaterial Flow by a Static/Moving Wedge with Darcy-Forchheimer Relation

Journal

MICROMACHINES
Volume 13, Issue 10, Pages -

Publisher

MDPI
DOI: 10.3390/mi13101768

Keywords

Eyring-Powell nanofluid; magnetic field; nonlinear thermal radiation; motile microorganisms; static/moving wedge; Darcy-Forchheimer

Funding

  1. Deanship of Scientific Research at Umm Al-Qura University [22UQU4331317DSR95]
  2. Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia [PNURSP2022R163]

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This study conducted a numerical investigation of time-dependent magneto-hydro-dynamics (MHD) Eyring-Powell liquid, considering thermal radiation and the regulation of floating nanoparticles using bioconvection. The study found that bioconvection can stabilize nanoparticles and impact the velocity field and dynamic density distribution.
The intention of this study is to carry out a numerical investigation of time-dependent magneto-hydro-dynamics (MHD) Eyring-Powell liquid by taking a moving/static wedge with Darcy-Forchheimer relation. Thermal radiation was taken into account for upcoming solar radiation, and the idea of bioconvection is also considered for regulating the unsystematic exertion of floating nanoparticles. The novel idea of this work was to stabilized nanoparticles through the bioconvection phenomena. Brownian motion and thermophoresis effects are combined in the most current revision of the nanofluid model. Fluid viscosity and thermal conductivity that depend on temperature are predominant. The extremely nonlinear system of equations comprising partial differential equations (PDEs) with the boundary conditions are converted into ordinary differential equations (ODEs) through an appropriate suitable approach. The reformed equations are then operated numerically with the use of the well-known Lobatto Ma formula. The variations of different variables on velocity, concentration, temperature and motile microorganism graphs are discussed as well as force friction, the Nusselt, Sherwood, and the motile density organism numbers. It is observed that Forchheimer number Fr decline the velocity field in the case of static and moving wedge. Furthermore, the motile density profiles are deprecated by higher values of the bio convective Lewis number and Peclet number. Current results have been related to the literature indicated aforementioned and are found to be great achievement.

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