Significance of stratification and Lorentz force on the transport phenomena of gyrotactic microorganisms in tangent hyperbolic nanofluid with Darcy-Forchheimer law

The present analysis is to investigate the potential applications of nanomaterial suspensions in various contexts, particularly in biomedical rheological models. Nanofluids, which are suspensions of nanoparticles in a base fluid, have been identified as an important material for cooling microelectronic devices such as microchips. In this study, we focus on the transport rates of mass, thermal, and motile microorganisms in the permeable stretching surface flow of tangent hyperbolic nanofluid, which contains gyrotactic microorganisms. Our goal is to analyze the behavior of the nanofluid and microorganisms under these conditions, which could have important practical applications. This study also investigates the behavior of aligned magneto nanofluid through buoyancy forces and stratification. The collective impacts of buoyancy forces and Darcy-Forchheimer porous medium result in the phenomenon of bioconvection, which helps to stabilize the nanofluid. To analyze the system, a set of partial differential equations is transmuted to ordinary differential equations via similarity variables. Numerical results are obtained by employing Runge-Kutta along shooting technique via an efficient MATLAB code. The code's implementation involves using the shooting method to achieve accurate numerical solutions. This study utilizes graphical representation to analyze and explain the effect of different parameters on the distribution of velocity, temperature, concentration, and bioconvection. Various factors are investigated to determine their effects. In order to validate the proposed model, the comparison table serves as evidence for the validity and accuracy of the proposed model.