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This work examines how radiation, Darcy-Forchheimer effects, and stretching sheets affect the behavior of Maxwell nanofluids in a bio-convective boundary layer flow. Because it provides insights into complicated fluid dynamics and thermal management, it is important for optimising heat and mass transport processes in industrial and biological applications. The regulating formulas underwent a transformation process that resulted in their conversion to one-dimensional ordinary differential equations from 2D partial differential equations that originally included symmetrical characteristics of non-Newtonians in liquids within the structure of Navier-Stokes modeling. To design a solution, the optimum homotopy analysis method is employed. There is a use for Maxwell flow of tiny fluid across a sheet (engine cooling/vehicle management of heat, fuel – cells and hybrid engines, domestic refrigerators). In the momentum boundary layer's formulation, the Maxwell model was employed to improve relaxation time, and the energy equation integrated thermal radiation using the Rosseland approximation. The three flow model profiles (velocity, temperature, and concentration) are graphed against different physical factors such as radiation, the porosity factor, Deborah and Prandtl numbers, thermophoresis, and the Brownian diffusion coefficient. Skin friction, or the drag force, shown enough improvement to account for the increased porosity factor values. The fluid slowed down and the temperature and concentration profiles were enhanced by the Deborah number, which was obtained from the relaxation time of the Maxwell model.
Sohail et al. (Sun,) studied this question.