Grant: Transfer phenomena in special porous media (SpePoM)

Project code: PN-III-P4-PCE-2021-0993
Contract: PCE 69/2022
Period: 30 months

The theme of the project is related to the transfer phenomena in bidisperse porous media and in special porous media filled by nanofluids, hybrid nanofluids and porous media formed by phase change media particles.

Therefore, in [C. Revnic, T. Grosan, I. Pop, D.B. Ingham, Int. J. Thermal Sciences, 48, 1876-1883, 2009] it is studied for the first time the free convective motion in a bidisperese porous cavity filled by a Newtonian fluid and proposed a new mathematical model for the case of Non-Darcy porous media by adding additional inertial terms for the free convection from vertical surfaces [F. O. Pătrulescu, T. Groşan , I. Pop, J. Heat Transfer, 142, 012504, 2020]. The new obtained mathematical model can be successfully used for flows at high velocities in both micro and macro phases or only in one phase.

New mathematical models are proposed and solved numerically in [T. Groşan, C. Revnic, I. Pop, D.B. Ingham, Int. J. Heat Mass Transfer, 87, 36–41, 2015; M.A. Sheremet, T. Grosan, I. Pop, Transport in Porous Media, 106, 595–610, 2015]. For the porous media case, modified properties (heat capacitance, thermal conductivity) depending on the properties of the fluid (f) and nanoparticles (p) can be used in order to model accurately the physical processes.

When hybrid nanoparticles (a combination of particles of two or several kind) are placed in the fluid, it is necessary to obtain new formulas for the properties of the new fluid. These will depend on the properties of the involved particles [C Revnic, T Grosan, MA Sheremet, I Pop, Appl. Math. And Mech.-English Ed., 41 1345-1358, 2020] and will drastically modified the governing equations.

A special case of porous medium is the porous medium formed by encapsulated phase change medium. This material will act as a storage material for the thermal energy and will decrease the variation of the temperature [M. Ghalambaz, T. Grosan, I. Pop, J. Molecular Liquids, 293, UNSP 111432, 2019]. In this paper, a mathematical model describing the phase change and the variation of thermal conductivitydue to the phase change is obtained and solved numerically.

Al these particular physical effects request an improvement of the mathematical and numerical models. The new mathematical models will be used for cavities and channels as well as in the boundary layer approximations.