O1: Transport phenomena in cavities and channels filled with bidisperse porous media (BDPM)

Despite of the numerous works dealing with bidisperse porous media, very few articles approach the flow in 2D and 3D domains. Moreover, the existing papers do not take into consideration mathematical models for porous media with high porosity and for high-speed flow. A new approach consists in modelling one of the bidisperse phase (e.g. the macro phase) as a porous medium with a high porosity, while the other phase (e.g. the micro phase) like a porous medium with a low porosity, different equations being necessary for different phases.

O2: Transport phenomena in mono and bidisperse porous media with variable physical properties

It is known that in practical applications the physical properties of fluids (density, viscosity, thermal conductivity, porosity, permeability, etc.) are not constant, see Bejan (1995) and Ingham and Pop (1998, 2002, 2005). For porous media variable porosity, temperature dependent viscosity, thermal non-equilibrium, mass transfer, chemical reactions, radiation and magnetic effects will be taken into account. A special attention will be paid to the porous media filled by hybrid nanofluids. In this case, new special formula for the physical properties of the porous medium mast be used (see Waini et al. 2020). Thus, new mathematical models, strongly non-linear, must be obtained. The previous results obtained in the projects CEEX ET 90 (Grosan et al. 2009a, Grosan et al. 2009b) and PN-II-RU-TE-3-0013 (Rosca et al. 2014) can be used to model some of the above effects in BDPM. To solve these models, numerical methods are needed, and a large amount of computational resources are necessary.

The topic of EPCM is very new; only 4 papers have been studied convective heat transfer in fluids containing EPCSM particles and one paper studies the flow and heat transfer in a packed column of EPCM particles. It is worth mentioning the paper by Ghalambaz and Grosan (2019) where the convection of a nanofluid containing nano-encapsulated phase change materials particles is studied. Further, we intend to extend this study to convection problems from surfaces (using boundary layer approximation) in channels, as well as convection problems in enclosures filled EPCM porous media.

References

1. Bejan, A., Convection Heat Transfer (2nd ed.), Wiley, New York, 1995.

2. Ghalambaz, M., Groşan, T., Pop, I., Mixed convection boundary layer flow and heat transfer

over a vertical plate embedded in a porous medium filled with a suspension of nano-encapsulated phase change materials, Journal of Molecular Liquids 293 111432 2019.

3. Grosan, T., Pop, I., Revnic, C., Ingham, D.B., Magnetohydrodynamic oblique stagnation-point flow, Meccanica 44 565-572 2009.

4. Grosan, T., Pop, I., Revnic, C., Ingham, D.B., Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium, Int. J. Heat Mass Transfer 52 1525-1533 2009.

5. Ingham, D.B., Pop, I., Transport in Porous Media, vol. 1, 2 and 3, Elsevier, 1998, 2002, 2005.

6. Rosca, N.C., Rosca, A.V., Grosan, T., Pop, I., Mixed convection boundary layer flow past a vertical flat plate embedded in a porous medium saturated by a nanofluid: Darcy-Ergun model, Int. J. Num. Methods Heat & Fluid Flow 24 970-987 2014.

7. Waini,, I., Ishak, A., Groşan, T., Pop, I., Int. Comm. Heat Mass Transfer, 114, 104565, 2020.