Finite element simulation of bioconvection and Cattaneo-Christov effects on micropolar based nanofluid flow over a vertically stretching sheet. (English) Zbl 07848631
Summary: An analysis for varying temperature with bioconvection of self-motive microorganisms mixed in micropolar based nanofluids is carried out with a reliable computational procedure. The overall transportation associated with momentum, energy, and concentration takes place near a stagnation point over stretching surface. The very interest of this exploration corresponds to the implications of multi-buoyancy, thermo-phoresis, micro-rotation, thermal radiation, suction/injection, and magnetic field. The physical consideration is formulated with a partial derivative which is then transmuted to ordinary differential format with the utilization of similarity transforms. The variations of rescaled microorganism density, fluid velocity, fluid temperature, micromotion vector, and volume fraction of nano-sized material are examined with two aspects for buoyancy (opposing \(\lambda < 0\) and assisting \(\lambda > 0\)) by harnessing Finite Element (FE) procedure. The related coding is run on Matlab for varying values of specific parameters. The fluid speed and micromotion make directly increasing response to the parameter of buoyancy ratio (Nr) and bioconvection Raleigh number (Rb). The temperature of fluid rises proportionally with higher values of each of the thermophoretic parameter Nt, radiative parameter Rd, and Biot number Bi. Both the larger microrotation parameter K and the relaxation time parameter \(\gamma_T\) raised the Nusselt number notably. The optimal convergence of the FE solution was checked by varying the mesh and validity of the numerical scheme was ascertained through comparison with literature concerned.
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