Magnetohydrodynamic Flow and Heat Transfer Analysis of Sisko Nanofluid Over Stretching Cylinder With Dual Chemical Reactions Containing Microorganisms

This study examines the combined effects of dual chemical reactions and thermal radiation on the magneto‐Sisko fluid flow along a stretching cylinder containing motile microorganisms. This mathematical modeling also considers the impact of the Buongiorno model to illustrate the effects of Brownian motion and thermophoresis diffusion. The dimensionless nonlinear ODEs are created by converting the governing boundary layer equations of fluid flow using the appropriate variables. The MATLAB software's Bvp4c (Lobatto‐IIIa) solver is used to numerically solve the transformed coupled nonlinear ODEs. The thermal distribution, velocity profiles, solutal profile, and microbe profiles are shown for the curvature parameter, Prandtl number (), Eckert number (), Lewis number (), Peclet number (), and the magnetic field parameter. Numerical variation in the friction drag, motile density of gyrotactic microorganisms, thermal and mass transport rates are investigated using graphs and tables to represent physical interpretation. The analysis reveals that the thermophoretic diffusion parameter enhances both the temperature field and the thickness of the thermal boundary layer, whereas an increase in the Peclet number leads to a reduction in the motile microorganism density. The current study has several real‐world applications, such as biomedical engineering for tissue modeling and polymer processing optimization, improved tissue integration, pollutant dispersion, building ventilation systems, medical imaging, and electronics heat management. The model has been verified by comparing the data from previous literature with the current study in a limiting case.