بررسی تأثیر جهت حرکت دیواره بر انتقال حرارت جابه‌جایی ترکیبی درون محفظه متخلخل با جذب/تولید حرارت و میدان مغناطیسی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده مهندسی مکانیک، دانشگاه یزد

2 دانشکده مهندسی مکانیک دانشگاه علم و صنعت ایران

3 دانشکده مهندسی مکانیک دانشگاه یزد

چکیده

در مطالعه حاضر، برای اولین بار، اثر جهت حرکت دیواره­های محفظه ربع دایره­ای شکل متخلخل بر انتقال حرارت جابجایی ترکیبی با وجود جذب/تولید حرارت یکنواخت به روش شبکه بولتزمن بررسی شده است. میدان مغناطیسی به دو صورت یکنواخت و پریودیک بر محفظه اعمال می­گردد. جابجایی ترکیبی بر اثر حرکت دیواره­ها در جهات مختلف به وجود می­آید. نتایج نشان می­دهد که افزایش عدد ریچاردسون، عدد هارتمن، ضریب جذب/تولید حرارت و کاهش ضریب تخلخل سبب کاهش عدد ناسلت متوسط می­شود. با ثابت ماندن تمامی پارامترها، بیشترین مقدار عدد ناسلت متوسط مربوط به زاویه اعمال سرعت ۹۰ درجه است که در این حالت عدد ناسلت متوسط در حدود 2۵ درصد بیشتر است. همچنین افزایش عدد ریچاردسون سبب کاهش تأثیر اعمال میدان مغناطیسی می­شود. پریودیک اعمال کردن میدان مغناطیسی در مقایسه با اعمال یکنواخت، حدود ۳۰ درصد انتقال حرارت بیشتری را منجر می­شود. افزایش ضریب تخلخل، اثر عدد هارتمن و زاویه اعمال سرعت را افزایش می­دهد. افزایش هم‌زمان ضریب جذب/تولید حرارت و عدد هارتمن، کاهش بیشتر عدد ناسلت متوسط را در پی دارد.

کلیدواژه‌ها


  1. Sheremet, M. A., Pop, I., and Mahian, O., "Natural Convection in an Inclined Cavity with Time-periodic Temperature Boundary Conditions using Nanofluids: Application in Solar Collectors", Int. J. Heat Mass Tran. Vol. 116, pp. 751-761, 2018.##
  2. Mehryan, S. A. M., Saffarian, M. R., Namazian, Z., Namazian, and Moradi Kashkooli, F., "Numerical Study of the Mixed Convection and the Entropy Generation in a Rhombic Enclosure Filled with the Cu-Water Nanofluid with the Heat Absorption/ Generation", J. Mech Eng. Vol. 48, pp. 289-298, 2019.##
  3. Chamkha, A. J., Selimefendigil, F., and Oztop, H. F., "Effects of a Rotating Cone on the Mixed Convection in a Double Lid-Driven 3D Porous Trapezoidal Nanofluid Filled Cavity under the Impact of Magnetic Field", Nanomaterials. Vol. 10, p. 449, 2020.##
  4. Nemati, M., Rahmati, A. R., "Investigation of Magnetic Field Effect on Nanofluid Mixed Convection inside Lid-Driven K-shaped Enclosure Using Lattice Boltzmann Method", J. Solid Fluid Mech. Vol. 8, pp. 211-126, 2018. (In persian)##
  5. Çolak, E., Öztop, H. F., and Ekici, Ö., "MHD Mixed Convection in a Chamfered Lid-Driven Cavity with Partial Heating", Int. J. Heat Mass Tran. Vol. 156, pp. 119-129, 2020.##
  6. Tiwari, R. K., and Das, M. K., "Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids", Int. J. heat Mass tran. Vol. 50, pp. 2002-2018, 2007.##
  7.  Ghasemi, B., and Aminossadati, S., "Mixed Convection in a Cid-Driven Triangular Enclosure Filled with Nanofluids", Int. Commun. Heat Mass Tran. Vol. 37, pp. 1142-1148, 2010.##
  8. Mehryan, S., Izadi, M., Chamkha, A. J., and Sheremet, M. A., "Natural Convection and Entropy Generation of a Ferrofluid in a Square Enclosure under the Effect of a Horizontal Periodic Magnetic Field", J. Molecular Liquids. Vol. 263, pp. 510-525, 2018.##
  9. Nemati, M., Sefid, M., 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", J. Solid Fluid Mech. Vol. 10, pp. 219-236, 2020. (In persian)##
  10. Keyhanpour, M., and Ghasemi, M., " Numerical Analysis of Heat and Mass Transfer of Magnetic Nanoparticles in a Non-Newtonian Blood Flow under Influence of Magnetic Field", Fluid Mech. Aerodynamics J., Vol. 7, no. 2, pp. 19-31, 2019. (In persian)##
  11. Kefayati, G. R., Gorji-Bandpy, M., Sajjadi, H., and Ganji, D., "Lattice Boltzmann Simulation of MHD Mixed Convection in a Lid-Driven Square Cavity with Linearly Heated Wall", Scientia Iranica. Vol. 19, pp. 1053-1065, 2012.##
  12. Chamkha, A. J., and Ismael, M. A., "Magnetic Field Effect on Mixed Convection in Lid-Driven Trapezoidal Cavities Filled with a Cu–Water Nanofluid with an Aiding or Opposing Side Wall", J. Thermal Sci. Eng. App., Vol. 8, pp. 310-319, 2016.##
  13. Arifuzzaman, S. M., Biswas, P., Al-mamun, A., Ahmmed, S. F., and, Khan, M. S., "Analysis of Unsteady Boundary Layer Viscoelastic Nanofluid Flow Through a Vertical Porous Plate with Thermal Radiation and Periodic Magnetic Field", J. Nanofluids., Vol. 7, pp. 1122-1129, 2018.##
  14. Husssain, S., Ahmed, S. E., and, Saleem, F., "Impact of Periodic Magnetic Field on Entropy Generation and Mixed Convection", J. Thermophysics Heat Tran., Vol. 32, pp. 999-1012, 2018.
  15. Izadi, M., Shermet, M. A., and Mehrian, S. A. M., "Natural Convection of a Hybrid Nanofluid Affected by an Inclined Periodic Magnetic Field within a Porous Medium", Chinese. J. Physics., Vol. 65, pp. 447-458, 2020.##
  16. Kiwan, S., "On the Natural Convection Heat Transfer from an Inclined Surface with Porous Fins", Transport in Porous Media., Vol. 127, pp. 295-307, 2019.##
  17. Alizadeh, R., Karimi, N., Arjmandzadeh, R., and Mehdizadeh, A., "Mixed Convection and Thermodynamic Irreversibilities in MHD Nanofluid Stagnation-Point Flows Over a Cylinder Embedded in Porous Media", J. Thermal Analysis Calorimetry., Vol. 135, pp. 489-506, 2019.##
  18. Ghalambaz, M., Groşan, T., and 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", J. Molecular Liquids., Vol. 293, p. 111432, 2019.##
  19. He, B., Lu, S., Gao, D., Chen, W., and Lin, F., "Lattice Boltzmann Simulation of Double Diffusive Natural Convection in Heterogeneously Porous Media of a Fluid with Temperature-Dependent Viscosity", Chinese. J. Physics., Vol. 63, pp. 186-200, 2020.##
  20. Ashorynejad, H. R.,  Mohamad, A. A., and Sheikholeslami, M., "Magnetic Field Effects on Natural Convection Flow of a Nanofluid in a Horizontal Cylindrical Annulus using Lattice Boltzmann Method", Int. J. Thermal Sci., Vol. 64, pp. 240-250, 2013.##
  21. S. Mojumder, S., Saha, M., and Ibrahim, T. A., "Numerical Study on Mixed Convection Heat Transfer in a Porous L-Shaped Ccavity", Eng. Sci Technology, Vol. 20, pp. 272-282, 2017.##
  22. Nazari, S., Ellahi, R., Sarafraz, M., Akbari, O. A., "Numerical Study on Mixed Convection of a Non-Newtonian Nanofluid with Porous Media in a Two Lid-Driven Square Cavity", J. Therm. Analysis Calorimetry., Vol. 138, pp. 1-25, 2019.##
  23. Eid, M. R., and Mahn, K. L., "Unsteady MHD Heat and Mass Transfer of a Non-Newtonian Nanofluid Flow of a Two-Phase Model Over a Permeable Stretching Wall with Heat Generation/Absorption", Advanced Powder Technology, Vol. 28, pp. 3063-3073, 2017.##
  24. Sheikholeslami, M., Kataria, H. R., and Mittal, A. S., "Effect of Thermal Diffusion and Heat-Generation on MHD Nanofluid Flow Past an Oscillating Vertical Plate Through Porous Medium", J. Molecular Liquids, Vol. 257, pp. 12-25, 2018.##
  25. Selimefendigil, F., and Öztop, H. F., "MHD Mixed Convection of Nanofluid in a Flexible Walled Inclined Lid-Driven L-Shaped Cavity Under the Effect of Internal Heat Generation", Physica A., Vol. 534, p. 122144, 2019.##
  26. Mishra, A., Pandey, A. K., Chamkha, A. J., and Kumar, M., "Roles of Nanoparticles and Heat Generation/Absorption on MHD Flow of Ag–H2O Nanofluid via Porous Stretching/Shrinking Convergent/Divergent Channel", J. Egyptian Mathematical Sci.,  Vol. 28, pp. 1-18, 2020.##
  27. Mahmoudi, A., Mejri, I., Abbassi, M. A., and Omri, A., "Analysis of MHD Natural Convection in a Nanofluid-Filled Open Cavity with Non Uniform Boundary Condition in the Presence of Uniform Heat Generation/Absorption", Powder Technology, Vol. 269, pp. 275-289, 2015.##
  28. Abbassi, M. A., Mliki, B., Omr, A., and Zeghmati, B., "Augmentation of Natural Convective Heat Transfer in Linearly Heated Cavity by Utilizing Nanofluids in the Presence of Magnetic Field and Uniform Heat Generation/Absorption", Powder Technology, Vol. 284, pp. 312-325, 2015.##
  29. Sukop, M. C., and Thorne, D. T., "Lattice Boltzmann Modeling", Springer, 2006.##
  30. Alinejad, J., Esfahani, J. A., "Lattice Boltzmann Simulation and Taguchi Optimization of Magnetic Field Effects on Nanofluid Natural Convection in a Semicircular Enclosure", Fluid Mech Aerodynamics J., Vol. 6, no. 2, pp. 45-59, 2017. (In persian)##
  31. Liang, H., Li, Y., Chen, J., and Xu, J., "Axisymmetric Lattice Boltzmann Model for Multiphase Flows with Large Density Ratio", Int. J. Heat Mass. Tran., Vol. 130, pp. 1189-1205, 2019.##
  32. Liu, Z., Mu, Z., and Wu, H., "A New Curved Boundary Treatment for LBM Modeling of Thermal Gaseous Microflow in the Slip Regime", Microfluidics Nanofluidics, Vol. 23, pp. 27-37, 2019.##
  33. Rahmati, A. R., Roknabadi, A. R., and Abbaszadeh, M., "Numerical Simulation of Mixed Convection Heat Transfer of Nanofluid in a Double Lid-Driven Cavity Using Lattice Boltzmann Method", Alexandria Eng,. J. Vol. 55, pp. 3101-3114, 2016.##
  34. Mohamad, A. A., "Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes", Springer Science & Business Media, 2011.##
  35. Bhatnagar, P. L., Gross, E. P., and Krook, M., "A Model for Collision Processes in Gases", Physical review, Vol. 94, pp. 511-525, 1954.##
  36. Ghasemi, K., and Siavashi, M., "Lattice Boltzmann Numerical Simulation and Entropy Generation Analysis of Natural Convection of Nanofluid in a Porous Cavity with Different Linear Temperature Distributions on Side Walls", J. Molecular Liquids, Vol. 233, pp. 415-430, 2017.##
  37. Liu, S., Zhou, T., Tao, S., Wu, Z., and Yang, G., "Lattice Boltzmann simulation of particle-laden flows using an improved curved boundary condition", Int. J. Modern Physics, Vol. 30, pp. 1-21, 2019.##
  38. Nithiarasu, P., Seetharamu, K., and Sundararajan, T., "Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium", Int. J. Heat Mass Tran., Vol. 40, pp. 3955-3967, 1997.##
  39. Takeshi, S., Takegoshi, E., Kitano, K., and Kenichi, O., "Thermal Lattice Boltzmann Model for Incompressible Flows Through Porous Media", J. Thermal Sci. Technology, Vol. 1, pp. 90-100, 2010.##
  40. Sathiyamoorthy, M., and Chamkha, A., "Effect of Magnetic Field on Natural Convection Flow in a Liquid Gallium Filled Square Cavity for Linearly Heated Side Wall (s) ", Int. J. Thermal Sci., Vol. 49, pp. 1856-1865, 2010.##