SCIENTIFIC REPORT – 2023
Transfer phenomena in special porous media
(PN-III-P4-PCE-2021-0993)
The second part of the project is dedicated to the continuation of the study of BDPM (numerical models, existence and uniqueness, validation of the results) and to model mathematically transport phenomena in mono/bidisperse porous media with variable physical properties
Between January and December 2023, the following was achieved:
1. Obtaining physical models and real physical parameters (BDPM) for exothermic chemical reactions
• Only one energy equation was used (thermal local equilibrium case was considered)
• Internal heat generation due to exothermic chemical reactions requires modifying the energy equation by introducing an exponential term (Arrhenius’ law)
2. Obtaining the mathematical model and studying the dimensionless parameters (BDPM)
• In the case of internal heat generation, a mathematical model was obtained based on Brinkman’s equations, the local thermal balance and the effect of exothermic chemical reactions.
3. The study of the existence of analytical solutions and studies of existence and uniqueness (BDPM)
• The existence of solutions of coupled equations of the Brinkman-Navier-Stokes type was analyzed theoretically using variational approaches.
4. Obtaining the numerical model and numerical simulations (BDPM)
• The systems of partial differential equations along with boundary conditions were discretized using central finite differences and repeated quadrature formulas. The obtained algebraic equation systems were linearized and iteratively solved using the SOR method. Parallel implementations of the sequential algorithms were obtained.
5. Validation of results, interpretation of results, preparation of results for publication/communication – works published/sent for publication or in progress:
i) 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), IF: 4.2
ii) Khashi’ie, NS; Rosca, NC; Rosca, AV; Pop, I; Dual solutions on MHD radiative three-dimensional bidirectional nanofluid flow over a non-linearly permeable shrinking sheet, ALEXANDRIA ENGINEERING JOURNAL, 2023, 71, 401-411, DOI 10.1016/j.aej.2023.03.0661110-0168.(Q1) (Open Access), IF: 6.8
iii) Kohr, M; Precup, R; Analysis of Navier-Stokes Models for Flows in Bidisperse Porous Media, Journal of Mathematical Fluid Mechanics, 2023, 25(2), Art. No. 38, DOI 10.1007/s00021-023-00784-w, WOS:000974525100001 (Q3), IF: 1.3
iv) C. Berghian‐Grosan, T. Grosan, Effect of Heat Generated by an Exothermic Chemical Reaction on the Mixed Convection Flow in a Vertical Porous Channel, ICCHMT2023, Paper Number 225
v) M. Kohr, R. Precup, Localization of energies in Navier-Stokes models with reaction terms, Analysis and Applications, sent for publication
vi) C. Berghian‐Grosan, T. Grosan, Effect of Heat Generated by an Exothermic Chemical Reaction on the Mixed Convection Flow in a Vertical Porous Channel. Local thermal non-equilibrium case. (in progress)
6. Obtaining physical models and real physical parameters for heat transfer from porous plates placed in nanofluids and hybrid nanofluids
• Physical correlations were used that calculate the new properties of the fluid (viscosity, thermal conductivity, etc.)
• Effects such as: magnetic field, thermal radiation, fluid suction/injection, plate shrinking/stretching were considered.
7. Obtaining the mathematical model and studying the dimensionless parameters
• Mathematical models based on the nanofluid models of Twari and Das and for hybrid nanofluids on the model of Takabi and Salehi were obtained.
8. The study of the existence of analytical solutions and studies of existence and uniqueness
• Following a stability analysis, the domains of existence of the solutions for various parameters governing the motion were obtained.
9. Obtaining the numerical models and numerical simulations
• The Systems of ordinary differential equations were solved using the bvp4c routine in Matlab or shooting methods.
10. Validation of results, interpretation of results, preparation of results for publication/communication – articles published/sent for publication or in progress:
i) Waini, I; Khan, U; Zaib, A; Isaac, A; Pop, I; Akkurt, N; Time-Dependent Flow of Water-Based CoFe2O4-Mn-ZnFe2O4 Nanoparticles over a Shrinking Sheet with Mass Transfer Effect in Porous Media, NANOMATERIALS, 2022, 12(22), Art. No. 4102, DOI 10.3390/nano12224102. (Q1)(Open Access), IF: 5.3
ii) 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, DOI 10.1108/HFF-10-2022-0624, MAR 2023 , WOS:000939453800001 (Q1), IF: 4.2
iii) 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, Volume 46, 1 December 2023, 102248 DOI: 10.1016/j.tsep.2023.102248. (Q1