Scientific report -2024
Transfer phenomena in special porous media
(PN-III-P4-PCE-2021-0993)

The following objectives have been set and achieved:
• Objectives planned/realized
O1: Transport phenomena in cavities and channels filled with bidisperse porous media
The first part of the project aims at mathematical modeling of transfer phenomena in bidisperse porous media (BDPM). Thus, mathematical models were obtained for convective flows in bidisperse porous media with high porosity, for convective flows at high velocities and for convective flows with internal heat generation. Next, we proceeded to obtain numerical models and to study the existence and uniqueness of solutions. Also, the effect of exothermic chemical reactions in bidisperse porous media was modeled using the Frank-Kamentskii model. The mathematical and numerical models were validated and the obtained results were published/submitted for publication or presented at conferences.
O2: Transport phenomena in mono/bidisperse porous media with variable physical properties
The physical parameters involved in flows in the vicinity of porous plates or plates placed in porous media were studied. Mathematical models for flow on porous plates or plates placed in porous media, expanding or contracting in the presence of (hybrid) nanoparticles, were also obtained, deriving the dimensionless parameters governing the motion. The proposed problems have been solved numerically, and in the case of multiple solutions, their stability and range of existence have been studied. The physical and mathematical model for the use of particles filled with phase change materials in modeling porous media was obtained. Thus, free convection in a cavity filled with a porous medium consisting of capsules filled with phase-change materials (solid-liquid) at ordinary temperatures was studied.
In the period 2.06.2022 – 31.12.2024 the following articles have been published in WoS listed journals (Qi -quartile i; OA – open access):
1. I. Waini, U. Khan, A. Zaib, A. Ishak, I. Pop, N. Akkurt, Time-Dependent Flow of Water-Based CoFe2O4-Mn-ZnFe2O4 Nanoparticles over a Shrinking Sheet with Mass Transfer Effect in Porous Media, Nanomaterials, 12 (22), Art. No. 4102, 2022. DOI 2022.10.3390/nano12224102,(Q2) (OA).
2. T. Grosan, F.O. Patrulescu, I. Pop, Natural convection in a differentially heated cavity filled with a Brinkman bidisperse porous medium, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 (10), pp. 3309-3326, 2023. DOI: 10.1108/HFF-10-2022-0600 (Q1).
3. N.S. Khashi’ie, N.C. Rosca, A.V. Rosca, I. Pop, Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet, Alexandria Engineering Journal, 71, 401-411, 2023. DOI 10.1016/j.aej.2023.03.0661110-0168 (Q1) (OA).
4. Kohr, M; Precup, R; Analysis of Navier-Stokes Models for Flows in Bidisperse Porous Media, Journal of Mathematical Fluid Mechanics, 25(2), Art. No. 38, 2023. DOI 10.1007/s00021-023-00784-w (Q3).
5. Rosca, NC; Rosca, AV; Pop, I; Dual solutions on three-dimensional nanofluid flow and heat transfer over a permeable non-linearly shrinking surface with second-order velocity slips, International Journal of Numerical Methods for Heat & Fluid Flow, 33(7), 2393-2408, 2023. DOI 10.1108/HFF-10-2022-0624 (Q1).
6. I. Pop, T. Grosan, C. Revnic, A. V. Rosca, Unsteady flow and heat transfer of nanofluids, hybrid nanofluids, micropolar fluids and porous media: a review, Thermal Science and Engineering Progress, 46, 102248, 2023. DOI: 10.1016/j.tsep.2023.102248 (Q1).
7. N.S. Wahid, N.M. Arifin, N.S. Khashi’ie, I. Pop, I, Three-dimensional unsteady radiative hybrid nanofluid flow through a porous space over a permeable shrinking surface, Chinese Journal of Physics, 85, 196–211, 2023, DOI 10.1016/j.cjph.2023.07.016 (Q1).
8. R.I. Yahaya, N.M. Arifin, I. Pop, F.M. Ali, SSPM I.S.A., Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect, Mathematics, 11(1) Art. No. 215, 2023. 10.3390/math11010215 (Q1, OA).
9. W.K. Usafzai; A.M. Saeed; E.H. Aly, V. Puneeth, I. Pop, Wall jet nanofluid flow with thermal energy and radiation in the presence of power-law, Numerical Heat Transfer Part A-Applications, 85 (14), 2367-2379, 2024, 10.1080/10407782.2023.2222456 (Q2).
10. W.K. Usafzai, I. Pop, C. Revnic, Dual solutions for the two-dimension copper oxide with silver (CuO-Αg) and zinc oxide with silver (ΖnO-Αg) hybrid nanofluid flow past a permeable shrinking sheet in a dusty fluid with velocity slip, International Journal of Numerical Methods for Heat & Fluid Flow, 34 (1), 259-279, 2024, DOI 10.1108/HFF-08-2023-0473 (Q1)
11. I. Waini, F.N. Jamrus, N.C. Rosca, A.V. Rosca, I. Pop, Dual solutions for axisymmetric flow and heat transfer due to a permeable radially shrinking disk in copper oxide (CuO) and silver (Ag) hybrid nanofluids with radiation effect, International Journal of Numerical Methods for Heat & Fluid Flow, 34 (3), 1424-1445, 2024, 10.1108/HFF-09-2023-0537 (Q1).
12. M. Ghalambaz, T. Yusaf, I. Pop, J. Shafi, M. Baro, M. Fteiti, Magnetohydrodynamic free convection of nano-encapsulated phase change materials between two square cylinders: Mapping the thermal behavior using neural networks, Alexandria Engineering Journal, 89, 110-124, 2024, 10.1016/j.aej.2024.01.035 (Q1, OA).
13. Mirela Kohr, Radu Precup, Localization of energies in Navier-Stokes models with reaction terms, Analysis and Applications, 22 (6), 1053-1073, 2024, 10.1142/S0219530524500118 (Q1).
14. S. Abu Bakar, N.S. Wahid, N.M. Arifin, I. Pop, Effects of Homogenous-Heterogenous Reactions and Hybrid Nanofluid on Bödewadt Flow over a Permeable Stretching/Shrinking Rotating Disk with Radiation, Arabian Journal for Science and Engineering, 49 (11), 15161-15176, 2024, 10.1007/s13369-024-08909-7 (Q2).
15. N.S. Wahid, N.M. Arifin, R.I. Yahaya, N.S. Khashi’ie, I. Pop, Impact of suction and thermal radiation on unsteady ternary hybrid nanofluid flow over a biaxial shrinking sheet, Alexandria Engineering Journal, 96, 132-141, 2024, 10.1016/j.aej.2024.03.079 (Q1, OA).
16. A.F. Albisoru, M. Kohr, I. Papuc, W.L. Wendland, On some Robin-transmission problems for the Brinkman system and a Navier-Stokes type system, Mathematical Methods in the Applied Sciences, 47 (16), 12590-12617, 2024, 10.1002/mma.10170 (Q1).
17. S. Abu Bakar, I. Pop, N.M. Arifin, Unsteady flow of gyrotactic microorganisms with hybrid nanofluid and higher order slips using modified Buongiorno model, International Journal of Heat and Fluid Flow, 107, 109378, 2024, 10.1016/j.ijheatfluidflow.2024.109378 (Q2).
18. N.S. Wahid, M.S. Mustafa, N.M. Arifin, I. Pop, N.S. Anuar, N.S. Khashi’ie, Numerical and statistical analyses of three-dimensional non-axisymmetric Homann’s stagnation-point flow of nanofluids over a shrinking surface, Chinese Journal of Physics, 89, 1555-1570, 2024, 10.1016/j.cjph.2023.11.034 (Q1).
19. M. Turkyilmazoglu, I. Pop, Flow and heat transfer in annuli owing to inner shrinking and outer stationary cylinder, Chinese Journal of Physics, 89, 1899-1907, 2024, 10.1016/j.cjph.2024.01.002 (Q1).
20. N.S. Wahid, N.M. Arifin, N.S. Khashi’ie, I. Pop, Unsteady axisymmetric hybrid graphene-copper nanofluid slip flow over a permeable radially shrinking disk with the Soret and Dufour effects, International Journal of Heat and Fluid Flow, 107, 109415, 2024, 10.1016/j.ijheatfluidflow.2024.109415 (Q2).
21. J.H. Merkin, N.C. Rosca, A.V. Rosca, I. Pop, MHD Mixed Convection Flow Over a Permeable Vertical Flat Plate Embedded in a Darcy-Forchheimer Porous Medium, Transport in Porous Media, 151 (13), 2511-2528, 2024, 10.1007/s11242-024-02124-6 (Q3, OA).
22. W.K. Usafzai, E.H. Aly, I Pop, Nonlinear dynamics of micropolar two-phase fluids: Multiple exact solutions, Chinese Journal of Physics, 92, 607-622, 2024, 10.1016/j.cjph.2024.09.034 (Q1).
23. M.M. Rahman, M.Z. Saghir, K. Vajravelu, I. Pop, Free convective heat transfer flow in a glass bead porous medium varying permeability and sinusoidal wall temperature, JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2024, Early Access, 10.1007/s10973-024-13535-4 (Q2, OA).

In the period 2.06.2022 – 31.12.2024 the following articles have been published in BDI-listed journals (OA – open access):
24. D. Breaz, T. Grosan, F. Patrulescu, C. Revnic, Free convection in a square cavity filled by a bidisperse porous medium. Effect of internal heat generation, Acta Universitas Apulensis, No. 71/2022 pp. 117-125. doi: 10.17114/j.aua.2022.71.08 (OA)
25. A.C. Berghian-Grosan, Grosan, T. (2024). Effect of Heat Generated by an Exothermic Chemical Reaction on the Mixed Convection Flow in a Vertical Porous Channel. In: Benim, A.C., Bennacer, R., Mohamad, A.A., Ocłoń, P., Suh, SH., Taler, J. (eds) Advances in Computational Heat and Mass Transfer. ICCHMT 2023. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-67241-5_11
26. W.K. Usafzai, I. Pop, E.H. Aly, Steady Gyrostatic Nanofluid Flow past a Permeable Stretching/shrinking Sheet with Velocity Slip Condition using the Nanofluid Model Proposed by Buongiorno, Journal of Applied and Computational Mechanics, 10 (2), 413-421, 2024, 10.22055/jacm.2024.45412.4362 (Q2 ESCI, OA).
27. A.C. Berghian Grosan, T. Grosan, S.R. Pop, Mixed convection flow in a porous channel under the effects of exothermic chemical reactions and local thermal non-equilibrium, Archives of Thermodynamics, AOT-00733-2024-03, accepted (OA)

In the period 2.06.2022 – 31.12.2024 lectures were given at the following conferences:
28. T. Grosan, F. Patrulescu, Natural convection in a bidisperse porous medium. Effect of internal heat generation, 14th Joint Conference on Mathematics and Computer Science (MaCS) 2022, November 24–27, Babeș–Bolyai University, Cluj-Napoca, Romania -prezentare.
29. F.O. Patrulescu, Natural convection in a bidisperse porous medium, 17th International Conference on Applied Mathematics and Computer Science, 11 -13.07.2023, Universitatea Tehnica Cluj-Napoca, Romania, -prezentare
30. 14th International Conference on Computational Heat and Mass Transfer (ICCHMT 2023), 4-8 September 2023, Düsseldorf, Germany. (C. Berghian‐Grosan, T. Grosan, Effect of Heat Generated by an Exothermic Chemical Reaction on the Mixed Convection Flow in a Vertical Porous Channel, Paper Number 225)
31. The 31st Conference on Applied and Industrial Mathematics, CAIM 2024, September 19-22, 2024, Oradea, Romania. (C. Berghian‐Grosan, T. Grosan, Natural Convection in a Square Cavity Filled by an Encapsulated Phase Change Material Porous Medium)
32. International Conference on Applied Science and Engineering, November 7-8, 2024, Viena, Austria. (T. Groşan, I. Pop, C. Revnic, Dual solutions of tri-hybrid nanofluids stagnation point over a linearly shrinking sheet)
33. ASPECT’24 -Asymptotic Analysis and Spectral Theory 2024 Metz, September 23-September 27, 2024 Institut Élie Cartan de Lorraine, Université de Lorraine, Metz, France (Mirela Kohr, On some elliptic operators on manifolds with cylindrical ends)