Description of non-Newtonian bioconvective Sutterby fluid conveying tiny particles on a circular rotating disk subject to induced magnetic field

The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles as well as the induced magnetic field in the involvement of motile gyrotactic microorganisms. The flow is configured between a pair of circular disks filled with Sutterby fluid conveying tiny particles and gyrotactic microorganisms. The impact of Arrhenius kinetics and thermal radiation is also considered in the governing flow. The presented mathematical models are modified into nonlinear ordinary differential equations using the relevant similarity transformations. To compute the numerical solutions of nonlinear ordinary differential equations, the differential transform procedure (DTM) is used. For nonlinear problems, integral transform techniques are more difficult to execute. However, a polynomial solution is obtained as an analytical solution using the differential transform method, which is based on Taylor expansion. To improve the convergence of the formulated mathematical modeling, the Pade approximation was combined with the differential transformation method. Variations of different dimensionless factors are discussed for velocity, temperature field, concentration distribution, and motile gyrotactic microorganism profile. Torque on both plates is calculated and presented through tables.

Automated summary

The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles and the induced magnetic field in the involvement of motile gyrotactic microorganisms, considering the impact of Arrhenius kinetics and thermal radiation. The differential transform procedure is used to compute the numerical solutions of the nonlinear ordinary differential equations, and the Pade approximation is combined to improve the convergence of the mathematical modeling.