Significance of thermo-dynamical moment of ferromagnetic nanoparticles and bioconvection analysis for magnetized Carreau fluid under the influence of gyrotactic moment of microorganisms

Nanotechnology is progressing very rapidly so the research on nanofluids got popularity by innovation of nanofluid proved revolutionary in field of science and engineering. Due to its wide range of application in many fields the research in nanofluid took special interest of research community as they are environmentally friendly too. In present study, a non-Newtonian ferrofluid with magnetic effects is under consideration. Similarity transformation is used which is helpful in converting system of partial differential equations that are nonlinear to systems ordinary differential equations. The numerical results are obtained by using bvp4c technique. Comprehensive analysis for temperature, velocity and concentration profiles is demonstrated graphically. It is examined that thermal profile increases while concentration profile declines with upsurge in Brownian motion parameter.

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Nanotechnology has led to significant advancements in the field of science and engineering, particularly in the research on nanofluids. Nanofluids have gained popularity due to their wide range of applications and environmentally friendly nature. This study focuses on a non-Newtonian ferrofluid with magnetic effects and uses a similarity transformation method to convert nonlinear partial differential equations into ordinary differential equations. Numerical results obtained through the bvp4c technique are used to analyze temperature, velocity, and concentration profiles. The study reveals an increase in thermal profile and a decrease in concentration profile with an increase in the Brownian motion parameter.