Entropy production due to conjugate natural convection in a nanofluid-filled enclosure with a stepped wall

• Autorzy: Bouchoucha Abd el , Oztop Hakan F. , Bessaih Rachid , Abu-Hamdeh Nidal

Identyfikatory

DOI

10.24423/EngTrans.2032.20230517

• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to improve the heat transfer in a square cavity with a body at the left wall filled with a Al2O3/water nanofluid for different geometries. Numerous simulation experiments are conducted. A relative temperature is maintained at the vertical and top horizontal walls while the bottom wall is warm. The finite volume approach is considered to resolve the equations governing the thermal transfer flow in the physical domain based on the SIMPLER algorithm. In this study, different values of the following parameters are considered: Rayleigh number (10⁴ ≤ Ra ≤ 10⁵) and solid volume fraction (0 ≤ φ ≤ 0.1) of nanoparticles (NPs). Parameters, such as the Rayleigh (Ra) and Bejan (Be) numbers, thermal conductivity, body’s dimensions, and NPs volume fraction, which directly affect the entropy generation and heat transfer rate, are studied in a particular way. The obtained results show that entropy generation goes ahead with the Ra increase and inverse to the solid volume fraction increase. One can notice that the heat transfer has a proportional relation with φ and Ra.

Słowa kluczowe

EN

entropy generation; natural convection; nanofluids; cavity; wall

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2023
• Tom: Vol. 71, iss. 2
• Strony: 161--183
• Opis fizyczny: Bibliogr. 42 poz., rys., tab., wykr.

Twórcy

autor

Bouchoucha Abd el

• Department of Science and Technology, University of Mila Algeria

autor

Oztop Hakan F.

• Department of Mechanical Engineering, Technology Faculty, Fırat University Elazig, Turkey

autor

Bessaih Rachid

• LEAP Laboratory, Department of Mechanical Engineering, Faculty of Sciences Technology University Fr`eres Mentouri-Constantine Algeria

autor

Abu-Hamdeh Nidal

• Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University Jeddah, Saudi Arabia

Bibliografia

• 1. Alloui Z., Vasseur P., Reggio M., Natural convection of nanofluids in a shallow cavity heated from below, International Journal of Thermal Sciences, 50(3): 385–393, 2011, doi: 10.1016/j.ijthermalsci.2010.04.006.
• 2. Zhang Y., Li L., Ma H.B., Yang M., Effect of Brownian and thermophoretic diffusions of nanoparticles on nonequilibrium heat conduction in a nanofluid layer with periodic heat flux, Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology, 56(4): 325–341, 2009, doi: 10.1080/10407780903163876.
• 3. Jou R.-Y., Tzeng S.-C., Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures, International Communications in Heat and Mass Transfer, 33(6): 727–736, 2006, doi: 10.1016/j.Icheatmasstrans fer.2006.02.016.
• 4. Heris Z.S., Esfahany M.N., Etemad G., Numerical investigation of nanofluid laminar convection heat transfer through a circular tube, Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology, 52(11): 1043–1058, 2007, doi: 10.1080/10407780701364411.
• 5. Abu-Nada E., Investigation of entropy generation over a backward facing step under bleeding conditions, Energy Conversion and Management, 49(11): 3237–3242, 2008, doi: 10.1016/j.enconman.2007.10.031.
• 6. Kim S.S., Baek S.W., Radiation affected compressible turbulent flow over a backward facing step, International Journal of Heat and Mass Transfer, 39(16): 3325–3332, 1996, doi: 10.1016/0017-9310(96)00046-4.
• 7. Guerrero J.S.P., Cotta R.M., Benchmark integral transform results for flow over a backward-facing step, Computers & Fluids, 25(5): 527–540, 1996, doi: 10.1016/0045- 7930(96)00005-9.
• 8. Benard N., Garrido P.S., Bonnet J.P., Moreau E., Control of the coherent structure dynamics downstream of a backward facing step by DBD plasma actuator, International Journal of Heat and Fluid Flow, 61(Part A): 158–173, 2016, doi: 10.1016/ j.ijheatfluidflow.2016.04.009.
• 9. Chang T.S., Tsay Y.L., Natural convection heat transfer in an enclosure with a heated backward step, International Journal of Heat and Mass Transfer, 44(20): 3963–3971, 2001, doi: 10.1016/S0017-9310(01)00035-7.
• 10. Ramˇsak M., Conjugate heat transfer of backward-facing step flow: A benchmark problem revisited, International Journal of Heat and Mass Transfer, 84: 791–799, 2015, doi: 10.1016/j.ijheatmasstransfer.2015.01.067.
• 11. Niemann M., Frohlich ¨ J., Buoyancy-affected backward-facing step flow with heat transfer at low Prandtl number, International Journal of Heat and Mass Transfer, 101: 1237– 1250, 2016, doi: 10.1016/j.ijheatmasstransfer.2016.05.137.
• 12. Xu F., Gao Z., Ming X., Xia L., Wang Y., Sun W., Ma R., The optimization for the backward-facing step flow control with synthetic jet based on experiment, Experimental Thermal and Fluid Science, 64: 94–107, 2015, doi: 10.1016/j.expthermflusci.2015.02.014.
• 13. Kherbeet A.S., Mohammed H.A., Salman B.H., Ahmed H.E., Alawi O.A., Rashidi M.M., Experimental study of nanofluid flow and heat transfer over microscale backward- and forward-facing steps, Experimental Thermal and Fluid Science, 65: 13– 21, 2015, doi: 10.1016/j.expthermflusci.2015.02.023.
• 14. Mramor K., Vertnik R., Sarler ˇ B., Simulation of laminar backward facing step flow under magnetic field with explicit local radial basis function collocation method, Engineering Analysis with Boundary Elements, 49: 37–47, 2014, doi: 10.1016/j.engana bound.2014.04.013.
• 15. Statnikov V., Bolgar I., Scharnowski S., Meinke M., Kahler ¨ C.J., Schroder ¨ W., Analysis of characteristic wake flow modes on a generic transonic backward-facing step configuration, European Journal of Mechanics – B/Fluids, 59: 124–134, 2016, doi: 10.1016/j.euromechflu.2016.05.008.
• 16. Aghakhani S., Pordanjani A.H., Afrand M., Sharifpur M., Meyer J.P., Natural convective heat transfer and entropy generation of alumina/water nanofluid in a tilted enclosure with an elliptic constant temperature: applying magnetic field and radiation effects, International Journal of Mechanical Sciences, 174: 105470, 2020, doi: 10.1016/j.ijmecsci.2020.105470.
• 17. Alnaqi A.A., Aghakhani S., Pordanjani A.H., Bakhtiari R., Asadi A., Tran M.-D., Effects of magnetic field on the convective heat transfer rate and entropy generation of a nanofluid in an inclined square cavity equipped with a conductor fin: Considering the radiation effect, International Journal of Heat and Mass Transfer, 133: 256–267, 2019, doi: 10.1016/j.ijheatmasstransfer.2018.12.110.
• 18. Baghsaz S., Rezanejad S., Moghimi M., Numerical investigation of transient natural convection and entropy generation analysis in a porous cavity filled with nanofluid con sidering nanoparticles sedimentation, Journal of Molecular Liquids, 279: 327–341, 2019, doi: 10.1016/j.molliq.2019.01.117.
• 19. Bezi S., Souayeh B., Cheikh N.B., Beya B.B., Numerical simulation of entropy generation due to unsteady natural convection in a semi-annular enclosure filled with nanofluid, International Journal of Heat and Mass Transfer, 124: 841–859, 2018, doi: 10.1016/j.ijheatmasstransfer.2018.03.109.
• 20. Bondareva N.S., Sheremet M.A., Oztop H.F., Hamdeh N.A., Entropy generation due to natural convection of a nanofluid in a partially open triangular cavity, Advanced Powder Technology, 28(1): 244–255, 2017, doi: 10.1016/j.apt.2016.09.030.
• 21. Cho C.-C., Heat transfer and entropy generation of mixed convection flow in Cu-water nanofluid-filled lid-driven cavity with wavy surface, International Journal of Heat and Mass Transfer, 119: 163–174, 2018, doi: 10.1016/j.ijheatmasstransfer.2017.11.090.
• 22. Dogonchia A.S., Seyyedib S.M., Tilehnoeea M.H., Chamkha A.J., Ganji D.D.D., Investigation of natural convection of magnetic nanofluid in an enclosure with a porous medium considering Brownian motion, Case Studies in Thermal Engineering, 14: 100502, 2019, doi: 10.1016/j.csite.2019.100502.
• 23. Dormohammadi R., Farzaneh-Gord M., Ebrahimi-Moghadam A., Ahmadi M.H., Heat transfer and entropy generation of the nanofluid flow inside sinusoidal wavy channels, Journal of Molecular Liquids, 269: 229–240, 2018, doi: 10.1016/j.molliq.2018.07.119.
• 24. Hashim I., Alsabery A.I., Sheremet M.A., Chamkha A.J, Numerical investigation of natural convection of Al2O3-water nanofluid in a wavy cavity with conductive inner block using Buongiorno’s two-phase model, Advanced Powder Technology, 30(2): 399–414, 2019, doi: 10.1016/j.apt.2018.11.017.
• 25. Khakrah H., Hooshmand P., Jamalabadi M.Y.A., Azar S., Thermal lattice Boltzmann simulation of natural convection in a multi-pipe sinusoidal-wall cavity filled with Al2O3- EG nanofluid, Powder Technology, 356: 240–252, 2019, doi: 10.1016/j.powtec.2019.08.013.
• 26. Rahimi A., Sepehr M., Lariche M.J., Kasaeipoor A., Malekshah E.H., Kolsi L., Entropy generation analysis and heatline visualization of free convection in nanofluid (KKL model-based)-filled cavity including internal active fins using lattice Boltzmann method, Computers & Mathematics with Applications, 75(5): 1814–1830, 2018, doi: 10.1016/j.cam wa.2017.12.008.
• 27. Rahimi A., Sepehr M., Lariche M.J., Mesbah M., Kasaeipoor A., Malekshah E.H., Analysis of natural convection in nanofluid-filled H-shaped cavity by entropy generation and heatline visualization using lattice Boltzmann method, Physica E: Low-dimensional Systems and Nanostructures, 97: 347–362, 2018, doi: 10.1016/j.physe.2017.12.003.
• 28. Selimefendigil F., Oztop ¨ H.F., Effects of conductive curved partition and magnetic field on natural convection and entropy generation in an inclined cavity filled with nanofluid, Physica A: Statistical Mechanics and its Applications, 540: 123004, 2020, doi: 10.1016/ j.physa.2019.123004.
• 29. Sheikholeslami M., Oztop ¨ H.F., MHD free convection of nanofluid in a cavity with sinusoidal walls by using CVFEM, Chinese Journal of Physics, 55(6): 2291–2304, 2017, doi: 10.1016/j.cjph.2017.09.006.
• 30. Sheremet M.A., Pop I., Oztop ¨ H.F., Hamdeh N.A., Natural convective heat transfer and nanofluid flow in a cavity with top wavy wall and corner heater, Journal of Hydrodynamics, 28(5): 873–885, 2016, doi: 10.1016/S1001-6058(16)60688-1.
• 31. Aminossadati S.M., Ghasemi B., Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure, European Journal of Mechanics – B/Fluids, 28(5): 630–640, 2009, doi: 10.1016/j.euromechflu.2009.05.006.
• 32. Hassan M., Mebarek-Oudina F., Faisal A., Ghafar A., Ismail A.I., Thermal energy and mass transport of shear thinning fluid under effects of low to high shear rate viscosity, International Journal of Thermofluids, 15: 100176, 2022, doi: 10.1016/j.ijft.2022.100176.
• 33. Shafiq A., Mebarek-Oudina F., Sindhu T.N., Rassol G., Sensitivity analysis for Walters-B nanoliquid flow over a radiative Riga surface by RSM, Scientia Iranica, 29(3): 1236–1249, 2022, doi: 10.24200/sci.2021.58293.5662.
• 34. Reddy Y.D., Mebarek-Oudina F., Goud B.S., Ismail A.I., Radiation velocity and thermal slips effect toward MHD boundary layer flow through heat and mass transport of Williamson nanofluid with porous medium, Arabian Journal for Science and Engineering, 47(12): 16355–16369, 2022, doi: 10.1007/s13369-022-06825-2.
• 35. Dhif K., Mebarek-Oudina F., Chouf S., Vaidya H., Chamkha A.J., Thermal analysis of the solar collector cum storage system using a hybrid-nanofluids, Journal of Nanofluids, 10(4): 616–626, 2021, doi: 10.1166/jon.2021.1807.
• 36. Mebarek-Oudina F., Numerical modeling of the hydrodynamic stability in vertical annulus with heat source of different lengths, Engineering Science and Technology, an International Journal, 20(4): 1324–1333, 2017, doi: 10.1016/j.jestch.2017.08.003.
• 37. Mebarek-Oudina F., Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source, Heat Transfer – Asian Research, 48(1): 135–147, 2019, doi: 10.1002/htj.21375.
• 38. Chabani I., Mebarek-Oudina F., Vaidya H., Ismail A.I., Numerical analysis of magnetic hybrid nano-fluid natural convective flow in an adjusted porous trapezoidal enclosure, Journal of Magnetism and Magnetic Materials, 564(2): 170142, 2022, doi: 10.1016/j.jmmm.2022.170142.
• 39. Marzougui S., Mebarek-Oudina F., Magherbi M., Mchirgui A., Entropy generation and heat transport of Cu-water nanoliquid in porous lid-driven cavity through magnetic field, International Journal of Numerical Methods for Heat & Fluid Flow, 32(6): 2047– 2069, 2022, doi: 10.1108/HFF-04-2021-0288.
• 40. Brinkman H.C., The viscosity of concentrated suspensions and solution, The Journal of Chemical Physics, 20(4): 571–581, 1952, doi: 10.1063/1.1700493.
• 41. Maxwell J., A Treatise on Electricity and Magnetism, 2nd ed., Oxford University Press, Cambridge, UK, 1904.
• 42. Patankar S.V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).