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Microorganisms are significant in agricultural microbiology because they can generate biosurfactants and surface-active chemicals. Numerous applications, including enhanced oil recovery and ecological bioremediation, depend on these biosurfactants. Moreover, the combined effect of microbes and nanofluids offers a multitude of economic opportunities, particularly in the creation of micro-fluidic products such as micro-reactors and microscopic channels. The aim of this work is to investigate the dynamics of three dimensional nanofluid flows subject to magnetohydrodynamics, Darcy-Forchheimer law, bioconvection motile microorganism, nonlinear thermal radiation and activation energy. The controlling PDEs are converted into nonlinear equations by using the appropriate similarity transformations. The numerical and graphical results are calculated with fourth fifth order Runge-Kutta-Fehlberg (RKF45) approach using the shooting technique. The graphical and numerical importance of physical engineering parameters like local skin friction, local Nusselt, local Sherwood, and local motile microorganism numbers are discussed here. The concentrations of microorganisms and nanoparticles are discounted in relation to their respective Lewis numbers and bio-Lewis numbers. The findings are useful for heat exchangers working in various technological processors. The results indicate that Lewis number for microorganisms and bioconvection is a decreasing function for motile microorganisms while an opposite behavior is seen for microorganism stratification Biot number.
Hamid et al. (Wed,) studied this question.