A theoretical analysis of steady three-dimensional flow and heat transfer of Power-Law nanofluid over a stretchable rotating disk filled with gyrotactic microorganisms

The current research study investigates the steady three-dimensional flow and heat transfer of a power-law nanofluid in the presence of the uniformly applied magnetic field and nonlinear thermal radiation over the stretchable rotating disk filled with gyrotactic microorganisms. The physically modeled partial differential equations (PDEs) are lessened to combined nonlinear ordinary differential equations (ODEs) with appropriate transformation. The influence of several types of pertinent parameters upon the dimensionless distributions of velocity, temperature, the concentration of nanoparticles, and microorganisms are analyzed graphically by solving the ODEs with a well-known shooting method. The tabular comparison is provided for the verification between the present results with those in the literature. Also, the physical quantities of interest are calculated, and the effects are scrutinized. Furthermore, it is noticed that the emerging parameters have produced a significant influence upon the velocity components, temperature, concentration of nanoparticles, and motile density of microorganisms.

Automated summary

The research investigates the steady three-dimensional flow and heat transfer of a power-law nanofluid in the presence of a magnetic field and thermal radiation over a stretchable rotating disk filled with gyrotactic microorganisms. The physically modeled partial differential equations are transformed into combined nonlinear ordinary differential equations for analysis. The study examines the influence of various parameters on velocity, temperature, nanoparticle concentration, and microorganism density, providing a comparison with existing literature and scrutinizing the effects.