استفاده از روش لتیس بولتزمن در تحلیل آنتروپی تولید شده طی انتقال حرارت دوگانه سیال با مدل توانی در حضور جذب/تولید گرما و میدان مغناطیسی

علوم کاربردی و محاسباتی در مکانیک

مقاله 3، دوره 34، شماره 3 - شماره پیاپی 29، آبان 1401، صفحه 35-66   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/jacsm.2022.77136.1125

نویسندگان

محمد نعمتی؛ محمد سفید^*

دانشکده مهندسی مکانیک، دانشگاه یزد، یزد، ایران.

چکیده

در کار حاضر مقدارآنتروپی تولید شده ناشی ازانتقال حرارت دوگانه سیال با مدل توانی درون محفظه دو بعدی متمایل تحت اثرمیدان مغناطیسی یکنواخت و غیر یکنواخت با وجود جذب/تولید حرارت بررسی شده است. مهمترین نتایج عبارتنداز: (الف) قدرت جریان، مقدار انتقال حرارت و آنتروپی تولید شده با افزایش عدد هارتمن، کاهش عدد رایلی و افزایش شاخص توانی سیال، کاهش می‌یابد. (ب) با کاهش شاخص توانی سیال، اثر میدان مغناطیسی بارزتر می‌شود به نحوی که افزایش عدد هارتمن تا بیشترین مقدار، در حدود 52 درصد برای سیال نازک‌شونده و تا حدود 18 درصد برای سیال ضخیم‌شونده از مقدار عدد ناسلت متوسط می‌کاهد. (ج) برای دست‌یابی به جریانی با قدرت بیشتر و عدد ناسلت متوسط بالاتر می‌توان از میدان مغناطیسی به صورت غیر یکنواخت به خصوص TMF1 استفاده کرد. هر اندازه عدد هارتمن بیشتر باشد، تغییر در نوع اعمال میدان مغناطیسی مشهودتر است. اثر تغییر در نوع اعمال میدان مغناطیسی برای سیال ضخیم‌شونده کمترین است. (د) چنانچه نسبت هدایت حرارتی افزایش یابد، بیشترین مقدار عدد ناسلت متوسط حاصل می‌شود که در این حالت اثر افزایش عدد هارتمن و عدد رایلی محسوس‌تر می‌شود. (ه) کمترین مقدار انتقال حرارت، قدرت جریان و اثر میدان مغناطیسی زمانی حاصل می‌شود که محفظه در زاویه ۹۰+ درجه قرار گیرد که در این حالت عدد ناسلت متوسط تا حدود 82 درصد کمتر از زاویه صفر است. (و) عدد بجان با افزایش ضریب جذب/تولید حرارت، افزایش عدد هارتمن، کاهش عدد رایلی و کاهش نسبت هدایت حرارتی، افزایش می‌یابد و بیشترین مقدار عدد بجان در زاویه ۹۰+ درجه حاصل می‌شود.

کلیدواژه‌ها

انتقال حرارت دوگانه؛ سیال با مدل توانی؛ میدان مغناطیسی یکنواخت و غیر یکنواخت؛ تولید آنتروپی؛ جذب/تولید حرارت یکنواخت؛ زاویه تمایل محفظه

مراجع

1. Cao, X., Gao, D., Huang, Y., and Liu, X., "An Improved Lattice Boltzmann Model for Convection Melting in the Existence of an Inhomogeneous Magnetic Field", Microgravity Science and Technology, Vol. 33, Pp. 1-5, (2021).
2. Amine, B.M., Redouane, F., Mourad, L., Jamshed, W., Eid, M.R., and Al-Kouz, W., "Magnetohydrodynamics Natural Convection of a Triangular Cavity Involving Ag-MgO/Water Hybrid Nanofluid and Provided with Rotating Circular Barrier and a Quarter Circular Porous Medium at Its Right-Angled Corner", Arabian Journal for Science and Engineering, Vol. 46, Pp. 12573-12597, (2021).
3. Akgül, A., and Siddique, I., "Novel Applications of the Magnetohydrodynamics Couple Stress Fluid Flows Between Two Plates with Fractal‐Fractional Derivatives", Numerical Methods for Partial Differential Equations, Vol. 37, Pp. 2178-2189, (2021).
4. Nemati, M., Sefid, M., and Rahmati, A.R., "The Effect of Changing the Position of the Hot Wall and Increasing the Amplitude and Number of Oscillations of Wavy Wall on the Flow and Heat Transfer of Nanofluid Inside the Channel in the Presence of Magnetic Field", Journal of Solid and Fluid Mechanics, Vol. 10, Pp. 219-236, (2020).
5. Zhang, Y., Zhang, G., Zhang, Z., Zhang, Y., and Huang, Y., "Effect of Assisted Transverse Magnetic Field on Distortion Behavior of Thin-Walled components in WEDM Process", Chinese Journal of Aeronautics, 35, Pp. 291-307, (2022).
6. Roy, N.C., "MHD Natural Convection of a Hybrid Nanofluid in an Enclosure with Multiple Heat Sources", Alexandria Engineering Journal, Vol. 61, Pp. 1679-1694 (2022).
7. Borrelli, A., Giantesio, G., and Patria, M.C., "Exact Solutions in MHD Natural Convection of a Bingham Fluid: Fully Developed Flow in a Vertical Channel", Journal of Thermal Analysis and Calorimetry", Vol. 147, Pp. 5825-5838, (2022).
8. Mahdy, A., Hady, F.M., Mohamed, R.A., and Abo‐zaid, O.A., "Internal Heat Generation Impact on MHD Natural Convection of Dusty Hybrid Nanomaterials within a Porous Cavity", Heat Transfer, Vol. 51, Pp. 1150-1169, (2022).
9. Nemati, M., Sefid, M., Mohammad Sajadi, S., Ghaemi, F., and Baleanu, D., "Lattice Boltzmann Method to Study Free Convection and Entropy Generation of Power-Law Fluids Under Influence of Magnetic field and Heat Absorption/Generation", Journal of Thermal Analysis and Calorimetry, Vol. 147, Pp. 10569-10594, (2022).
10. Chen, Z., and Shu, C., "Simplified Lattice Boltzmann Method for Non‐Newtonian Power‐Law Fluid Flows", International Journal for Numerical Methods in Fluids, Vol. 92, Pp. 38-54, (2020).
11. Ismael, A., Eldabe, N.T., Abouzeid, M., and Elshabouri, S., "Entropy Generation and Nanoparticles CuO Effects on MHD Peristaltic Transport of Micropolar Non-Newtonian Fluid with Velocity and Temperature Slip Conditions", Egyptian Journal of Chemistry, Vol. 65, Pp. 715-722, (2022).
12. Ho, C.D., Tu, J.W., Chang, H., Lin, L.P., Chew, T.L., "Optimizing Thermal Efficiencies of Power-Lw Fluids in Double-Pass Concentric Circular Heat Exchangers with Sinusoidal Wall Fuxes", Mathematical Biosciences and Engineering, Vol. 19, Pp. 8648-8670, (2022).
13. Rahmati, A.R., and Nemati, M., "Investigation of Magnetic Field Effect on Nanofluid Mixed Convection Inside Lid-Driven K-Shaped Enclosure Using Lattice Boltzmann Method", Journal of Solid and Fluid Mechanics, Vol. 8, Pp. 111-126, (2018).
14. Sun, C., Zhang, Y., Farahani, S.D., Hu, C., Nemati, M., and Sajadi, S.M., "Analysis of Power-Law Natural Conjugate Heat Transfer Under the Effect of Magnetic Field and Heat Absorption/Production Based on the First and Second Laws of Thermodynamics for the Entropy via Lattice Boltzmann Method", Engineering Analysis with Boundary Elements, Vol. 144, Pp. 165-184, (2022).
15. Abdulkadhim, A., mejbel Abed ,I., and mahjoub Said, N., "An Exhaustive Review on Natural Convection within Complex Enclosures: Influence of Various Parameters", Chinese Journal of Physics, Vol. 74, Pp. 365-374, (2021).
16. Nemati, M., Sefid, M., and Rahmati, A., "Analysis of the Effect of Periodic Magnetic Field, Heat Absorption/Generation and Aspect ratio of the Enclosure on Non-Newtonian Natural Convection", Journal of Heat and Mass Transfer Research, Vol. 8, Pp. 187-203, (2021).
17. Khan, M.R., Mao, S., Deebani, W., and Elsiddieg, A.M., "Numerical Analysis of Heat Transfer and Friction Drag Relating to the Effect of Joule Heating, Viscous Dissipation and Heat Generation/Absorption in Aligned MHD Slip Flow of a Nanofluid", International Communications in Heat and Mass Transfer, Vol. 131, Pp. 105843, (2022).
18. Ojemeri, G., and Hamza, M.M., "Heat Transfer Analysis of Arrhenius-Controlled Free Convective Hydromagnetic Flow with Heat Generation/Absorption Effect in a Micro-Channel", Alexandria Engineering Journal, Vol. 61, Pp. 12797-12811, (2022).
19. Dar, A.A., "Effect of Thermal Radiation, Temperature Jump and Inclined Magnetic Field on the Peristaltic Transport of Blood Flow in an Asymmetric Channel with Variable Viscosity and Heat Absorption/Generation", Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, Vol. 45, Pp. 487-501, (2021).
20. Gambo, J.J., and Gambo, D., "On the Effect of Heat Generation/Absorption on Magnetohydrodynamic Free Convective Flow in a Vertical Annulus: An Adomian Decomposition Method", Heat Transfer, Vol. 50, Pp. 2288-2302, (2021).
21. Al-Farhany, K., Al-Chlaihawi, K.K., Al-dawody, M.F., Biswas, N., and Chamkha, A.J., "Effects of Fins on Magnetohydrodynamic Conjugate Natural Convection in a Nanofluid-Saturated Porous Inclined Enclosure", International Communications in Heat and Mass Transfer, Vol. 126, Pp. 105413, (2021).
22. Siddiqa, S., Begum, N., Hossain, M.A., Abrar, M.N., Gorla, R.S., and Al-Mdallal, Q., "Effect of Thermal Radiation on Conjugate Natural Convection Flow of a Micropolar Fluid Along a Vertical Surface", Computers & Mathematics with Applications, 83, Pp. 74-83, (2021).
23. Nemati, M., and Sefid, M., "Evaluation of Amount the Entropy Production Due to MHD Hybrid Nanofluid Conjugate Heat Transfer with Heat Absorption/Generation", Fluid Mechanics & Aerodynamics Journal, Vol. 10, Pp. 141-168, (2022).
24. Faizan, M., Pati, S., and Randive, P.R., "Effect of Non-Uniform Heating on Conjugate Heat Transfer Performance for Nanofluid Flow in a Converging Duct by a Two-Phase Eulerian–Lagrangian Method", Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, Vol. 236, Pp. 414-424, (2022).
25. Ren, Q., Wang, Z., Lai, T., Zhang, J., and Qu, Z.G., "Conjugate Heat Transfer in Anisotropic Woven Metal Fiber-Phase Change Material Composite", Applied Thermal Engineering, Vol. 189, Pp. 116618, (2021).
26. Fureby, C., "Large Eddy Simulation of Turbulent Reacting Flows with Conjugate Heat Transfer and Radiative Heat Transfer", Proceedings of the Combustion Institute, Vol. 38, Pp. 3021-3029, (2021).
27. Nemati, M., and Sefid M., "The Application of Multiple Relaxation Time Lattice Boltzmann Method to Simulate the Newtonian and Non-Newtonian MHD Natural Convection in Cavity with Lozenge Barrier", Fluid Mechanics & Aerodynamics Journal, Vol. 10, Pp. 17-35, (2021).
28. Nemati, M., Sefid, M., Jahromi, B., and Jahangiri, R., "The Effect of Magnetic Field and Nanoparticle Shape on Heat Transfer in an Inclined Cavity with Uniform Heat Generation/Absorption", Computational Methods in Engineering, Vol. 40, Pp. 109-126, (2022).
29. Shan, F., Du, H., Chai, Z., and Shi, B., "Lattice Boltzmann modeling of the Capillary Rise of Non‐Newtonian Power‐Law Fluids", International Journal for Numerical Methods in Fluids, Vol. 94, Pp. 251-271, (2022).
30. Gohari, E.M., Sefid, M., Malooze, A.R., and Mozafari-Shamsi, M., "Hydrodynamic Simulation of Liquid-Solid Fluidized Bed with Non-Newtonian Power-Law Fluids Using SPM-LBM Method", Journal of Mechanical Engineering, Vol. 51, Pp. 245-250, (2022).
31. Mehmood, A., Khan, S., Iqbal, M.S., and Butt, A.S., "Computational Analysis of Entropy Generation in Mixed Convection Flow Past a Vertical Wavy Cone", Journal of Thermal Analysis and Calorimetry, Vol. 147, Pp. 6983-6992, (2022).
32. Al‐Chlaihawi, K.K., Alaydamee, H.H., Faisal, A.E., Al‐Farhany, K., and Alomari, M.A., "Newtonian and Non‐Newtonian Nanofluids with Entropy Generation in Conjugate Natural Convection of Hybrid Nanofluid‐Porous Enclosures: A Review", Heat Transfer, Vol. 51, Pp. 1725-1745, (2022).
33. Mliki, B., and Abbassi, M.A., "Entropy Generation of MHD Natural Convection Heat Transfer in a Heated Incinerator Using Hybrid-Nanoliquid", Propulsion and Power Research, Vol. 10, Pp. 143-154, (2021).
34. Gal, S., Kolsi, L., Hassen, W., Ben Ali, N., Ben Khedher, N., and Chamkha, A.J., "Three-Dimensional Study of Magnetohydrodynamic Natural Convection, Entropy Generation, and Electromagnetic Variables in a Nanofluid Filled Enclosure Equipped with Inclined Fins", ACS Omega, Vol. 7, Pp. 12365-12373, (2022).
35. Aghakhani, S., Pordanjani, A.H., Karimipour, A., Abdollahi, A., and Afrand, M., "Numerical Investigation of Heat Transfer in a Power-Law Non-Newtonian Fluid in a C-Shaped Cavity with Magnetic Field Effect Using Finite Difference Lattice Boltzmann Method", Computers & Fluids, Vol. 176, Pp. 51-67, (2018).
36. Rezaie, M., and Maghrebi, M.J., "Numerical Investigation of Conjugate Natural Convection Heat Transfer in Porous Enclosure with Lattice Boltzmann Method", Journal of Solid and Fluid Mechanics, Vol. 5, Pp. 217-231, (2019).
37. Ferhi, M., Djebali, R., Abboudi, S., and Kharroubi, H., "Conjugate Natural Heat Transfer Scrutiny in Differentially Heated Cavity Partitioned with a Conducting Solid using the Lattice Boltzmann Method", Journal of Thermal Analysis and Calorimetry, 138, Pp. 3065-3088, (2019).
38. Zhang, R., Aghakhani, S., Pordanjani, A.H., Vahedi, S.M., Shahsavar, A., and Afrand, M., "Investigation of the Entropy Generation During Natural Convection of Newtonian and Non-Newtonian Fluids Inside the L-Shaped Cavity Subjected to Magnetic Field: Application of Lattice Boltzmann Method", The European Physical Journal Plus, Vol. 135, Pp. 184-201, (2020).
39. Mliki, B., Ali, C., and Abbassi, M.A., "Lattice Boltzmann Simulation of MHD Natural Convection Heat Transfer of Cu-Water Nanofluid in a Linearly/Sinusoidally Heated Cavity", International Journal of Physical and Mathematical Sciences, Vol. 14, Pp. 7-11, (2020).
40. Mohebbi, R., and Rasam, H., "Numerical Simulation of Conjugate Heat Transfer in a Square Cavity Consisting the Conducting Partitions by Utilizing Lattice Boltzmann Method", Physica A: Statistical Mechanics and its Applications, Vol. 546, Pp. 123050, (2020).
41. Nemati, M., Sani, H.M., and Chamkha, A.J., "Optimal Wall Natural Convection for a Non-Newtonian Fluid with Heat Generation/Absorption and Magnetic Field in a Quarter-Oval Inclined Cavity", Physica Scripta, Vol. 96, Pp. 125234, (2021).
42. Nemati, M., Mohamadzade, H.M., and Sefid, M., "Investigation the Effect of Direction of Wall Movement on Mixed Convection in Porous Enclosure with Heat Absorption/Generation and Magnetic Feld", Fluid Mechanics & Aerodynamics Journal, 9, Pp. 99-115, (2020).
43. Rahman, A., Nag, P., Molla, M.M., and Hassan, S., "Magnetic Field Effects on Natural Convection and Entropy Generation of Non-Newtonian Fluids Using Multiple-Relaxation-Time Lattice Boltzmann Method", International Journal of Modern Physics C, Vol. 32, Pp. 2150015, (2021).
44. Nemati, M., Sani, H.M., Jahangiri, R., Sefid, M., Mohammad Sajadi, S., Baleanu, D., and Ghaemi, F., "Convection Heat Transfer Under the Effect of Uniform and Periodic Magnetic Fields with Uniform Internal Heat Generation: a New Comprehensive Work to Develop the Ability of the Multi Relaxation Time Lattice Boltzmann Method", Journal of Thermal Analysis and Calorimetry, Vol. 147, Pp. 7883-7897, (2022).
45. Rostami, S., Ellahi, R., Oztop, H.F., and Goldanlou, A.S., "A Study on the Effect of Magnetic Field and the Sinusoidal Boundary Condition on Free Convective Heat Transfer of Non-Newtonian Power-Law Fluid in a Square Enclosure with Two Constant-Temperature Obstacles Using Lattice Boltzmann Method", Journal of Thermal Analysis and Calorimetry, Vol. 144, Pp. 2557-2573, (2021).
46. Ferhi, M., Djebali, R., Al‐Kouz, W., Abboudi, S., and Chamkha, A.J., "MHD Conjugate Heat Transfer and Entropy Generation Analysis of MWCNT/Water Nanofluid in a Partially Heated Divided Medium", Heat Transfer, Vol. 50, Pp. 126-144, (2021).
47. Nemati, M., Sani, H.M., Jahangiri, R., and Chamkha, A.J., "MHD Natural Convection in a Cavity with Different Geometries Filled with a Nanofluid in the Presence of Heat Generation/Absorption Using Lattice Boltzmann Method", Journal of Thermal Analysis and Calorimetry, Vol. 147, Pp. 9067-9081, (2022).
48. Rahman, A., Redwan, D.A., Thohura, S., Kamrujjaman, M., and Molla, M.M., "Natural Convection and Entropy Generation of Non-Newtonian Nanofluids with Different Angles of External Magnetic Field Using GPU Accelerated MRT-LBM", Case Studies in Thermal Engineering, Vol. 30, Pp. 101769, (2022).
49. Ferhi, M., Djebali, R., Mebarek-Oudina, F., Abu-Hamdeh, N.H., and Abboudi, S., "Magnetohydrodynamic Free Convection Through Entropy Generation Scrutiny of Eco-Friendly Nanoliquid in a Divided L-Shaped Heat Exchanger with Lattice Boltzmann Method Simulation", Journal of Nanofluids, Vol. 11, Pp. 99-112, (2022).
50. Ilis, G.G., Mobedi, M., and Sunden, B., "Effect of Aspect Ratio on Entropy Generation in a Rectangular Cavity with Differentially Heated Vertical Walls", International Communications in Heat and Mass Transfer, Vol. 35, Pp. 696-703, (2008).
51. Khezzar, L., Siginer, D., and Vinogradov, I., "Natural Convection of Power Law Fluids in Inclined Cavities", International Journal of Thermal Sciences, Vol. 53, Pp. 8-17, (2012).
52. Kefayati, G.R., "Mesoscopic Simulation of Magnetic Field Effect on Natural Convection of Power-Law Fluids in a Partially Heated Cavity", Chemical Engineering Research and Design, Vol. 94, Pp. 337-354, (2015).