Magneto-bioconvective flow of ferromagnetic nanoparticles containing joule heating and gyrotactic microorganisms phenomenon

• Magneto-bioconvection analysis for Carreau fluid is securitized here. • Impact of Brownian moment of ferromagnetic nanoparticles on heat transfer analysis is investigated. • Numerical Technique is employed here. • Convectively heated phenomenon for nanofluid is accounted. Due to variety of noteworthy applications in many fields’ nanotechnology is developing day-by-day, hence research upon this innovative nanofluid become much famous and revolutionized the modern engineering and science. There is another specialty that make this fluid more attractive for researchers is its environmental friendliness. Main objective in this research work is to analyze the impact of oxytactic moment of microorganisms on convectively heated magneto-Carreau fluid capturing random ferro-magnetic nanoparticles. Additionality, bioconvection phenomenon is constructed subjected to viscous dissipation. Similarity variables are utilized here that are helpful to convert system of non-linear P.D.Es to O.D.Es. Here bvp4c technique which is a pure numeric technique is used for obtaining the results. `Detailed scrutiny of velocity field, temperature, concentration as well as bioconvection density profile are explained by means of graphs, while Nusselt number, Sherwood number and motile micro- organism density is expressed with the help of tables.