Enhanced thermal energy transport of a ferrofluid contained in a double-sided lid-driven square container due to adiabatic block in the presence of magnetic force

Abstract

This article contains computational results for mixed convective energy flow in cobalt-based ferrofluid enclosed in a two-sided lid-driven container providing heat from the left vertical moving boundary under MHD effects influenced by a source of heat generation/absorption when a square adiabatic block of different aspect ratios is located in the center of a square container. The governing equations describing the heat transfer and fluid flow are exposed to the penalty method first and after that reduced equations are simplified by the Galerkin technique. The governing flow parameters are a concentration of ferroparticles ( $ 0.0 < \phi < 0.1$ ), Reynolds number ( $ 50 < Re < 200$ ), Hartmann number ( $ 0 < Ha < 100$ ), Richardson number ( $ 0.1 < Ri < 100$ ) and heat source/sink coefficient ( $ -10 < Q < 10$ ). The solutions show that the enhancements in heat transport occur due to the presence of the block up to a certain block size. Streamlines recirculation cells suppressed and augmentation in heat transfer are remarkably high because of the influence of an adiabatic block. The results also show that the patterns of energy and fluid flow are significantly dependent upon the concentration of nanoscale solid ferromagnetic particles, heat generation/absorption coefficient, Richardson, Reynolds and Hartman numbers. The obtained results are expressed in terms of streamlines, isotherms, local and overall energy flow rates.