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