Numerical simulations of mixed convection of hybrid nanofluid flow and hydrodynamic forces

This proposal is planned to explore the characteristics of heat transfer and fluid flow of hybrid nanofluid enclosed in a horizontal channel with cavity having an obstacle under the effect of magnetic field. The dimensionless governing partial equations for various physical parameters will be simulated via higher order and stable Galerkin based finite element method. In particular, the higher order and stable finite element pair, Q2/P1 will be utilized for the discretization of the modelled partial differential equations. The discretised system of nonlinear algebraic equations will be linearized with the help or Newtons method and the resulting linear problem will be computed with the help of geometric multi-grid techniques. Effective governing parameters such as nanoparticle volume fraction, aspect ratio of obstacle, Richardson number, Hartmann number and Reynolds number on the heat transfer and fluid flow will be analysed in detail. Moreover, the computation of hydrodynamic forces for example, drag and lift on the obstacle, will also be the focus of this project.