Abstract
In current study, the numerical computations of Reiner–Rivlin nanofluid flow through a rotational disk under the influence of thermal radiation and Arrhenius activation energy is considered. For innovative physical situations, the motile microorganisms are incorporated too. The multiple slip effects are considered in the boundary conditions. The bioconvection of motile microorganism is utilized alongside nanofluids to provide stability to enhanced thermal transportation. The Bioconvection pattern in various nanoparticles accredits novel applications of biotechnology like the synthesis of biological polymers, biosensors, fuel cells, petroleum engineering, and the natural environment. By deploying some suitable similarity transformation functions, the governing partial differential equations (PDEs) of the flow problem are rehabilitated into dimensionless forms. The accomplished ordinary differential equations (ODEs) are solved numerically through the bvp4c scheme via a built-in function in computational MATLAB software. The upshots of some prominent physical and bioconvection parameters including wall slip parameters, thermophoresis parameter, Brownian motion parameter, Reiner–Revlin nanofluid parameter, Prandtl number, Peclet number, Lewis number, bioconvection Lewis number, and the mixed convection parameter against velocity, temperature, nanoparticles concentration, and density of motile microorganism profiles are dichotomized and pondered through graphs and tables. The presented computations show that the velocity profiles are de-escalated by the wall slip parameters while the thermal and solutal fields are upgraded with augmentation in thermophoresis number and wall slip parameters. The presence of thermal radiation enhances the temperature profile of nanofluid. The concentration profile of nanoparticles is boosted by intensification in activation energy. Furthermore, the increasing values of bioconvection Lewis number and Peclet number decay the motile microorganisms’ field.
Highlights
The flow of spinning disks is critical in both theoretical and practical considerations
The bioconvection of motile microorganisms is utilized alongside nanofluids to provide stability to enhanced thermal transportation
The numerical solution of non-linear dimensionless ordinary differentiated structures (17)–(21) with boundary constraints given in expression (22) has been attained by the bvp4c function on MATLAB using a mathematical shooting scheme
Summary
The flow of spinning disks is critical in both theoretical and practical considerations. Khan et al [10] studied the effect of thermal and solutal transport behavior in the Maxwell flow of nanofluid on the solar radiative expansion surface. Khan et al [14] investigate the impact of nonlinear heat radiation with nanomaterials and Arrhenius activation energy on the flowing of a generalized 2nd-grade nanofluid. Tabassum et al [17] investigated the numerical behavior of non-Newtonian Reiner– Rivlin nanofluid partial slip and heat transportation basis on a spinning disc. Ferdows et al [29] discovered the conceptual boundary layer flow of cylinder heat and mass transportation in the motile microorganism living in a viscous liquid. Naqvi et al [38] scrutinized the bioconvection flow of a few stress fluids involving nanomaterials, magnetic fields, and gyrotactic microorganisms in rotating disks
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