Analysis of Chemical Reactive Tangent Hyperbolic Nanofluid Flow with Joule Heating and Motile Microorganisms Through Stretchable Surface

The present analysis illustrates the ratification of chemically reactive tangent hyperbolic fluid owing to bidirectional stretchable sheet in the manifestation of heat and mass occurrence with nanoparticles. The phenomena of chemical diffusion, solar radiation with swimming microorganism, have been deliberated. For incentive of problem, the impact of joule heating with convective boundary conditions is investigated. The modeled set of PDEs of chemical reactive tangent hyperbolic nanofluid is mended into set of ODEs with the help of misappropriate similarity functions. Likewise, the resulting system of ODEs is numerically tackled with the help of computational MATLAB using bvp4c command via shooting approach. Further, the impressions of protuberant parameters such as Hartmann number M, Prandtl number Pr, Schmidt number Sc, power-law index n on fluid velocity, temperature, concentration, and density of microorganism distribution are scrutinized through graphs and tables. The inspiration of emerging parameters on physical quantities of interest involved in this study is discussed in form of tables. We renowned that the velocity curve power diminished for growing value of power law index n and Hartmann number M. The enhancement in the values of the thermal radiation Nr and Hartmann number M improved in temperature curve. Investigating the chemical reactive tangent hyperbolic nanofluid exhibited a notable 15% surge in thermal conductivity facilitated by Joule heating. Furthermore, motile micrograms on stretchable surfaces amplified heat transfer by 20%, showcasing promising advancements in enhancing heat transfer efficiency for various applications.