Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45367420211001Magneto-bio-thermal Convection in Rotating Nanoliquid containing Gyrotactic Microorganism197319861567610.22055/jacm.2020.33456.2228ENMeenakshiKhuranaDepartment of Mathematics, The NorthCap University, Sector 23A, Gurugram, Haryana 122017, India0000-0003-0461-0108PuneetRanaSchool of Mathematical Sciences, College of Science and Technology, Wenzhou Kean University, Wenzhou 325060, ChinaDepartment of Mathematics, Jaypee Institute of Information Technology, A-10, Sector 62, Noida 201309, India0000-0002-9850-763XSangeetSrivastavaDepartment of Mathematics, The NorthCap University, Sector 23A, Gurugram, Haryana 122017, IndiaSanjayYadavDepartment of Mathematics, The NorthCap University, Sector 23A, Gurugram, Haryana 122017, IndiaJournal Article20200502The magneto-convection influenced by a gyrotactic behavior of algal suspensions along with rotation in the nanoliquid layer is investigated. Linear theory based on normal mode analysis is used to find out the inquisitive results of the problem for rigid-free and rigid-rigid boundaries. Both Galerkin-method (Number of terms (N) > 6) and shooting method (by taking forcing condition) are utilized to find the critical value of the Rayleigh number (both thermal and bio) in case of non-oscillatory stability. Both thermal and bio Rayleigh numbers are dependent on each other, thus advance or delay the convection. Rotation and magnetic field slow down the convective motion of microorganisms across the layer and destabilizes the system.https://jacm.scu.ac.ir/article_15676_feffb1cb9f43a5f63d3fa418b704fdcd.pdf