Theoretical Mathematics & Applications

Bio-Nanofluid Flow Through a Stenosed and Porous Arterial Channel Segment with Heating

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    This research focuses on Bio-nanofluid flow through a stenosis and porous arterial channel segment with heating. Blood is taken as the base fluid (base fluid) with the suspension of gold nano-particles, making the solution a biomagnetic and Newtonian nanofluid. We considered mathematical models for the flow of nanofluid and the distribution of heat through the channel past the stenosed segment subject to the moving and no-slip boundary conditions. The models are scaled using some quantities and obtained some dimensionless physical parameters and the governing equations in dimensionless form. Oscillatory perturbation is further applied to reduce the equations to ODE and solved analytical, the constant coefficients are obtained using the boundary conditions in the velocity and temperature profiles. Mathematica codes were developed to simulate the velocity and temperature profiles by varying the resulted physical parameters values within a specific range. Conclusion: It is seen that the velocity and temperature profiles are influence by the radiation parameter, the stenosis height, the length of stenosis, the volume fraction parameter, the Hartmann number, the treatment parameter, Grashof number and the Darcy number, which satisfies the aim of the investigation and is helpful in creating an awareness of the use of nano technology for targeted treatment.

    Keywords: Nano-fluid, Stenosis, Heating, Porous, Nanoscience, Viscosity.

    MSC 2020 Subject Classification: 35E05, 76D05, 76Z05, 92BC5, 92C35