Oxytactic Microorganisms and Thermo-Bioconvection Nanofluid Flow Over a Porous Riga Plate with Darcy–Brinkman–Forchheimer Medium

Lijun Zhang 1 , Muhammad Mubashir Bhatti 1 , Rahmat Ellahi 2 , 3  and Efstathios E. Michaelides 4
  • 1 College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China
  • 2 Department of Mathematics & Statistics, FBAS, IIUI, Islamabad, Pakistan
  • 3 Faculty of Science, Taibah University Madinah Almunawwarah, Madinah, Saudi Arabia
  • 4 Department of Engineering, TCU, Fort Worth, USA
Lijun Zhang
  • College of Mathematics and Systems Science, 74789Shandong University of Science and Technology, Qingdao, Shandong, 266590, China
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, Muhammad Mubashir Bhatti
  • Corresponding author
  • College of Mathematics and Systems Science, 74789Shandong University of Science and Technology, Qingdao, Shandong, 266590, China
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, Rahmat Ellahi
  • Department of Mathematics & Statistics, FBAS, IIUI, Islamabad, Pakistan
  • Faculty of Science, Taibah University Madinah Almunawwarah, Madinah, Saudi Arabia
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and Efstathios E. Michaelides

Abstract

The aim of this paper is to analyze the behavior of oxytactic microorganisms and thermo-bioconvection nanofluid flow through a Riga plate with a Darcy–Brinkman–Forchheimer porous medium. The Riga plate is composed of electrodes and magnets that are placed on a plane. The fluid is electrically conducting, and the Lorentz force evolves exponentially along the vertical direction. The governing equations are formulated with the help of dimensionless variables. With the aid of a shooting scheme, the numerical results are presented in graphs and tables. It is noted that the modified Hartmann number boosts the velocity profile when it is positive, but lowers these values when it is negative. The density-based Rayleigh number and the nanoparticle concentration enhance the fluid velocity. The thermal Rayleigh number and the Darcy–Forchheimer number decrease the velocity. An increase in Lewis number causes a remarkable decline in the oxytactic microorganism profile. Several useful results for these flows with oxytactic microorganisms through Darcy–Brinkman–Forchheimer porous media are presented in this paper.

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