Fluid Flow and Heat Transfer Analysis of Quadratic Free Convection in a Nanofluid Filled Porous Cavity

Abstract

The involvement of non-linear convection effects in a natural convective fluid flow and heat transfer along with the effects of magnetic field in a porous cavity is studied numerically. Cu-water filled cavity of higher temperature at the left wall and lower temperature at the right wall. The governing equations are organized to achieve the required flow by using two-dimensional equations of energy, continuity and momentum. Vorticity-stream function based dimensionless equations are solved using the finite difference techniques. The results are discussed for various dimensionless parameters such as the Darcy number, non-linear convection parameter, Hartmann number, Rayleigh number and solid volume fraction of the nanoparticles. An augment in streamline velocity and convection heat transfer are observed by increasing the Rayleigh number, non-linear convection parameter and Darcy number. The non-linear convection parameter has a lesser effect on the lower Rayleigh numbers. Diminished streamline intensity and reduction in convection heat transfer are noted for an increase in the strength of the applied magnetic field irrespective of the non-linear convection parameter.

Heat and mass transfer effects on fluid past an exponentially accelerated vertical plate due to time‐fractional MHD‐free convection

“…Moreover, a detailed study of heat transfer within a natural convective enclosure filled with nanofluid/hybrid nanofluid was studied by Jino and coworkers. [52][53][54][55] Recently, Sarwar et al 56 The present study aims to explore research questions that have not been previously investigated based on the available literature. The research question includes: (1) How does time-fractional order affect the HMT characteristics of a fluid past an EAVP under MHD-free convection by using timefractional modeling?…”

“…It is noted that the Sherwood number decreases when the concentration of nanoparticles within the nanofluid increases. Moreover, a detailed study of heat transfer within a natural convective enclosure filled with nanofluid/hybrid nanofluid was studied by Jino and coworkers 52–55 . Recently, Sarwar et al 56 examined the slip effects on HMT fluid flow over an EAVP under MHD–TFNC, heat generation, and chemical reaction.…”