The bioconvection of gravitactic microorganisms, through linear analysis and numerical simulation is presented. Using the basic state as initial condition for both microorganisms and streamlines, the critical Rayleigh number and the bioconvection are predicted. The dynamic microorganisms’ behavior is influenced by the initial spatial distribution. The stability of the system is dependent on the horizontal wave component that is inversely related to wavelength. The pattern length and the instability of the process are associated with the horizontal component of the wave number and the characteristic wavelength, respectively. Using complex and real eigenvalues, five unstable and three stable rolls are found, respectively. The three stable rolls is the dominant pattern when varying the principal variables of this bioconvective process.


Dr. Rubén Mil-Martínez received his Ph.D. from the National Polytechnic Institute of Mexico in Mechanical Engineering. He is a Professor in the Department of Industrial Military Engineers, at the Military School Engineers of Mexico, since 2016. He is currently working as a full-time professor performing research in the areas of exterior ballistic, fluid mechanics, heat transfer, rheology, and pattern formations of microorganisms. He has the distinction of being a candidate of the National System of Researchers of Mexico.