Abstract

The focus of this paper is based on the incidence of manifold slip on the transport and dynamics of magnetobioconvective and magnetic nanoparticles Fe3O4 (magnetite) power-law flow between two parallel plates. An interaction takes place between nanoparticles and the organism by inhalation routes, oral, dermal, and distributed to different tissue through the circulatory system The equations of motion are a set of partial differential equations (PDEs). The governing equations are transformed into ordinary differential equations (ODE) by utilizing similarity transformations. The transformed equations are solved by using the Runge-Kutta Gill method alongside the shooting techniques MATLAB software implementation. The velocity of fluid decreases when the magnetic parameter increases. The outcomes of this model find usefulness in controlling the turbulent flow of fluid due to the presence of a magnetic field and also helpful in reducing the dosage of anticancer drugs in the medical field because of the presence of the magnetic nanoparticles. The correctness of the present result is ascertained by comparing it with reported data.

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