Priti Kumari’s research while affiliated with Indian Institute of Technology Kanpur and other places

The coupled nonlinear partial differential equations modeling the transverse magnetic effect on Darcian mixed convection from a horizontal plate in a nanofluid saturated porous medium have been solved numerically by finite difference method after transforming the partial differential equations into a set of two ordinary equations in suitable similarity variables under boundary layer approximations. Results obtained by the present study are compared with those from literature and are found to be in excellent agreement. Further, the results are analyzed for the heat transfer from the plate. Also, the dimensionless velocity and temperature profile are presented in the form of xy-plots for inferring the salient features in the current mixed convection process.

The coupled nonlinear partial differential equations modelling the influence of multiple heat sources on the mixed convection process in a fluid saturated vertical porous square enclosure have been solved numerically by Galerkin finite element method in conjuction with the Krylov Solver BICGM. Detailed parallel numerical computations, based on the message passing libraries from ANULIB, have been carried out on an eight noded ANUCLUSTER to assess the influence of flow governing paremeters such as Rayleigh number and suction/injection velocity on mixed convection process. The obtained results have been analysed for heat and mass transfer in the form of isotherm, streamline and velocity vector plots. Local, cumulative and global heat fluxes have been calculated in the form of corresponding versions of Nusselt number. Computations have also been carried out for the case natural convection due the multiple hot sources. Nusselt numbers from mixed convection process are compared with those from natural convection process. Efficiency and speedup of the parallel computations on ANUCLUSTER have also been assessed and presented.