The basic aim of existing analysis is to scrutinize the two-dimensional flow regime of Ellis model under the consideration of magnetic field. The effect of thermophoresis as well as Brownian motion for Ellis model with the impacts of parameters like thermal radiation, bioconvection of microorganisms and viscous dissipation are also deliberated. On the other hand, the features of bioconvection have been systematically examined for its extensive uses in microbial developed oil recovery, gas-bearing alluvial basin, bio-microsystems and oil modeling. Under the effects of tension force, viscoelastic materials change according to viscoelastic and elastic illustration. Here we considered it due to hydro-dynamics unevenness and designs within suspension of subjective spinning microbes. Therefore, this paper presents a theoretical and computational evaluation of the unsteady 2D Bioconvection flow of Ellis fluid, which has non-linear radiation features as well as gyro-tactic microorganisms, illuminating the novelty of the work. Here, convective B. Cs are used for the current study, coupled PDEs are changed into coupled ODEs by using some suitable B. Cs and similarity conditions. The acquired ODEs are numerically solved by using bvp4c scheme. Here Physical effects concerning all such parameters are studied in detail and represented graphically. We found that increasing behavior of temperature for higher value of Brownian movement and thermophoresis parameter whereas fall in Prandtl number. The gyrotactic microbes result in reduction for rising values of Peclet number.
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