Bioconvection Reiner-Rivlin Nanofluid Flow between Rotating Circular Plates with Induced Magnetic Effects, Activation Energy and Squeezing Phenomena

This article deals with the unsteady flow in rotating circular plates located at a finite distance filled with Reiner-Rivlin nanofluid. The Reiner-Rivlin nanofluid is electrically conducting and incompressible. Furthermore, the nanofluid also accommodates motile gyrotactic microorganisms under the effect of activation energy and thermal radiation. The mathematical formulation is performed by employing the transformation variables. The finalized formulated equations are solved using a semi-numerical technique entitled Differential Transformation Method (DTM). Pade approximation is also used with DTM to present the solution of nonlinear coupled ordinary differential equations. Pade approximation helps to improve the accuracy and convergence of the obtained results. The impact of several physical parameters is discussed and gives analysis on velocity (axial and tangential), magnetic, temperature, concentration field, and motile gyrotactic microorganism functions. The impact of torque on the lower and upper plates are deliberated and presented through the tabular method. Furthermore, numerical values of Nusselt number, motile density number, and Sherwood number are given through tabular forms. It is worth mentioning here that the DTM-Pade is found to be a stable and accurate method. From a practical point of view, these flows can model cases arising in geophysics, oceanography, and in many industrial applications like turbomachinery.

Automated summary

This article discusses the unsteady flow of Reiner-Rivlin nanofluid in rotating circular plates located at a finite distance, using transformation variables for mathematical formulation and solving equations using the Differential Transformation Method (DTM) with Pade approximation. The impact of various physical parameters on velocity, magnetic field, temperature, concentration field, and motile gyrotactic microorganism functions is analyzed. The study also demonstrates the stability and accuracy of the DTM-Pade method in modeling practical cases in geophysics, oceanography, and industrial applications like turbomachinery.