The numerical solution of thermal radiation and chemical reaction on exponential curved stretching surface along bioconvective Sisko nanofluid

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Here, the current paper is exploring the bioconvective behavior of a Sisko nanofluid travelling over an extended curved surface, which focuses on the central part of bioconvection on the microorganism liquid interaction. The governing formulation includes non-uniform heat source sink effects, Hall current and Lorentz force generated by an imposed magnetic field. Other transportation processes such as the thermophoretic diffusion, the effects of thermal radiation, and the effects of the chemical reactions are also discussed. The physical and mathematical models are constructed using a curvilinear coordinate system and solved using MATLAB with the bvp4c scheme, into a system of ordinary differential equations. The calculated outputs give comprehensive changes of temperature, the concentration and velocity of the Sisko nanofluid. Elements impacting rheological parameters on these areas are examined and it is found that the terms of spatial and thermal sources and sinks influence the properties of the heat and mass transfer significantly in the geometrical form of a curved shape. It is found that the velocity of the stretched Sisko nanofluid tends to increase with the increase in the curvature parameter whereas an increase in Peclet numbers causes concentrations of motile microorganisms to decrease. Besides, oscillatory variations in the rheological characteristics reduce the drag force, and the rate of heat transfer increases significantly. The findings also indicate that increased Brownian motion would lead to a greater drop in concentration, whereby, its influence on the dispersion and mass transport behavior of nanoparticles is very influential.