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NUMERICAL INVESTIGATION OF THE MAGNETIC FIELD EFFECTS ON NATURAL CONVECTION WITHIN A POROUS HORIZONTAL CYLINDRICAL ANNULUS

Volumen 24, Ausgabe 2, 2021, pp. 13-27
DOI: 10.1615/JPorMedia.2020025675
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ABSTRAKT

A numerical study is performed to investigate the magnetic field effects on steady laminar natural convection heat transfer between two concentric horizontal cylinders filled with a porous medium. The inner cylinder surface is maintained at a hot temperature (Th), while the outer cylinder surface is at a cold temperature (Tc). The external magnetic field is applied parallel to the gravity. A non-Darcian model is used to simulate the flow in the porous medium. The governing equations in a body-fitted coordinate system were solved numerically using the finite difference method. Numerical results have covered a wide range of the modified Rayleigh number (25 ≤ Ra* ≤ 800) and the Hartmann number (0 ≤ Ha ≤ 10). The porosity of porous medium, Prandtl number, and Darcy number were taken as, 0.8, 0.7, and 3.2 × 10-6, respectively. The obtained results are depicted in terms of the streamlines, isotherms, and local and average Nusselt numbers, which show significant effects of Hartmann number and modified Rayleigh number on the fluid flow and temperature distribution inside the annulus. Also, it was found that the increase of magnetic field cause a reduction in the average Nusselt number, which leads to increasing in the thermal insulation.

REFERENZEN
  1. Afrand, M., Using a Magnetic Field to Reduce Natural Convection in a Vertical Cylindrical Annulus, Int. J. Therm.. Sci., vol. 118, pp. 12-23,2017. .

  2. Afrand, M., Sina, N., Teimouri, H., Mazaheri, A., Safaei, M.R., Esfe, M.H., Kamali, J., and Toghraie, D., Effect of Magnetic Field on Free Convection in Inclined Cylindrical Annulus Containing Molten Potassium, Int. J. Appl. Mech., vol. 7, no. 4, Article ID 1550052,2015. .

  3. Ait saada, M., Chikh, S., and Campo, A., Natural Convection Reduction in a Composite Air/Porous Annular Region with Horizontal Orientation, ASMEJ. Heat Transf., vol. 131, Article ID 022601, 8 pages, 2009. .

  4. Aldoss, T.K., Alkam, M., and Shatarah, M., Natural Convection from a Horizontal Annulus Partially Filled with Porous Medium, Int. Commun. Heat Mass Transf., vol. 31, pp. 441-452,2004. .

  5. Alloui, Z. and Vasseur, P., Natural Convection in a Horizontal Annular Porous Cavity Saturated by a Binary Mixture, Comput. Therm. Sci., vol. 3, pp. 407-417, 2011. .

  6. Al-Najem, N.M., Khanafer, K.M., and El-Refaee, M.M., Numerical Study of Laminar Natural Convection in Tilted Enclosure with Transverse Magnetic Field, Int. J. Numer. Methods Heat Fluid Flow, vol. 8, pp. 651-672, 1998. .

  7. Altawallbeh, A.A., Saeid, N.H., and Hashim, I., Magnetic Field Effect on Natural Convection in a Porous Cavity Heating from below and Salting from Side, Adv. Mech. Eng., vol. 2013, Article ID 183079, 13 pages, 2013. .

  8. Aminossadati, S.M., Hydromagnetic Natural Cooling of a Triangular Heat Source in a Triangular Cavity with Water-CuO Nanofluid, Int. Commun. Heat Mass Transf., vol. 43, pp. 22-29, 2013. .

  9. 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. Therm. Sci., vol. 64, pp. 240-250,2013. .

  10. Braga, E.J. and de Lemos, M.J.S., Simulation of Turbulent Natural Convection in a Porous Cylindrical Annulus Using a Macro-scopic Two-Equation Model, Int. J. Heat Mass Transf., vol. 49, pp. 4340-4351, 2006. .

  11. Caltagirone, J.P., Thermoconvective Instabilities in a Porous Medium Bounded by Two Concentric Horizontal Cylinders, J. Fluid Mech., vol. 76, pp. 337-362, 1976. .

  12. Charrier-Mojtabi, M.C., Numerical Simulation of Two- and Three-Dimensional Free Convection Flows in a Horizontal Porous Annulus Using a Pressure and Temperature Formulation, Int. J. Heat Mass Transf., vol. 40, pp. 1521-1533, 1997. .

  13. Elshehabey, H.M., Hady, F.M., Ahmed, S.E., and Mohamed, R.A., Numerical Investigation for Natural Convection of a Nanofluid in an Inclined L-Shaped Cavity in the Presence of an Inclined Magnetic Field, Int. Commun. Heat Mass Transf., vol. 57, pp. 228-238,2014. .

  14. Ergun, S., Fluid Flow through Packed Columns, J. Chem. Eng. Prog., vol. 48, pp. 89-94, 1952. .

  15. Ganji, D.D. and Malvandi, A., Natural Convection of Nanofluids inside a Vertical Enclosure in the Presence of a Uniform Magnetic Field, Powder Technol., vol. 263, pp. 50-57, 2014. .

  16. Grosan, T., Revnic, C., Pop, I., and Ingham, D.B., Magnetic Field and Internal Heat Generation Effects on the Free Convection in a Rectangular Cavity Filled with a Porous Medium, Int. J. Heat Mass Transf., vol. 52, pp. 1525-1533, 2009. .

  17. Han, C.Y., Effect of a Magnetic Field on Natural Convection of an Electrically Conducting Fluid in a Tilted Cavity, J. Korean Phys. Soc., vol. 55, pp. 2193-2199, 2009. .

  18. Hasanuzzaman, M., Oztop, H.F., Rahman, M.M., Rahim, N.A., Saidur, R., and Varol, Y., Magnetohydrodynamic Natural Convec-tion in Trapezoidal Cavities, Int. Commun. Heat Mass Transf., vol. 39, pp. 1384-1394,2012. .

  19. Ja, A., Belabid, J., and Cheddadi, A., Heat and Mass Transfer in a Saturated Porous Medium Confined in Cylindrical Annular Geometry, Int. J. Mech. Aerospace Indust. Mechatronic Manufact. Eng., vol. 9, pp. 604-608, 2015. .

  20. Jha, B.K., Aina, B., and Isa, S., Fully Developed MHD Natural Convection Flow in a Vertical Annular Microchannel: An Exact Solution, J. KingSaud Univ. Sci., vol. 27, pp. 253-259, 2015. .

  21. Kaviany, M., Non-Darcian Effects on Natural Convection in Porous Media Confined between Horizontal Cylinders, Int. J. Heat Mass Transf, vol. 29, pp. 1513-1519, 1986. .

  22. Khanafer, K.M. and Chamkha, A.J., Hydromagnetic Natural Convection from an Inclined Porous Square Enclosure with Heat Generation, Numer. Heat Transf. Part A, vol. 33, pp. 891-910, 1998. .

  23. Kimura, S. and Pop, I., Non-Darcian Effects on Conjugate Natural Convection between Horizontal Concentric Cylinders with a Porous Medium, FluidDyn. Res., vol. 7, pp. 241-253, 1991. .

  24. Krakov, M.S., Nikiforov, I.V., and Reks, A.G., Influence of the Uniform Magnetic Field onNatural Convection in Cubic Enclosure: Experiment and Numerical Simulation, J. Magn. Magn. Mater., vol. 289, pp. 272-274, 2005. .

  25. Kumar, A. and Singh, A.K., Effect of Induced Magnetic Field on Natural Convection in Vertical Concentric Annuli Heated/Cooled Asymmetrically, J. Appl. FluidMech., vol. 6, pp. 15-26,2013. .

  26. Kumari, M. and Nath, G., Unsteady Natural Convection from a Horizontal Annulus Filled with a Porous Medium, Int. J. Heat Mass Transf., vol. 51, pp. 5001-5007, 2008. .

  27. Mallikarjuna, B., Chamkha, A.J., and Vijaya, R.B., Soret and Dufour Effects on Double Diffusive Convective Flow through a Non-Darcy Porous Medium in a Cylindrical Annular Region in the Presence of Heat Sources, J. Porous Media, vol. 17, pp. 623-636,2014. .

  28. Mansour, M.A., Chamkha, A.J., Mohamed, R.A., Abd El-Aziz, M.M., and Ahmed, S.E., MHD Natural Convection in an Inclined Cavity Filled with a Fluid Saturated Porous Medium with Heat Source in the Solid Phase, Nonlinear Anal.: Model. Control, vol. 15, pp. 55-70,2010. .

  29. Parvin, S. and Nasrin, R., Analysis of the Flow and Heat Transfer Characteristics for MHD Free Convection in an Enclosure with a Heated Obstacle, Nonlinear Anal.: Model. Control, vol. 16, pp. 89-99, 2011. .

  30. Revnic, C., Grosan, T., Pop, I., and Ingham, D.B., Magnetic Field Effect on the Unsteady Free Convection Flow in a Square Cavity Filled with a Porous Medium with a Constant Heat Generation, Int. J. Heat Mass Transf., vol. 54, pp. 1734-1742, 2011. .

  31. 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. Therm. Sci., vol. 49, pp. 1856-1865, 2010. .

  32. Selimefendigil, F. and Oztop, H.F., Natural Convection and Entropy Generation of Nanofluid Filled Cavity Having Different Shaped Obstacles under the Influence of Magnetic Field and Internal Heat Generation, J. Taiwan Inst. Chem. Eng., vol. 56, pp. 42-56, 2015. .

  33. Sheikholeslami, M., Gorji-Bandpay, M., and Ganji, D.D., Magnetic Field Effects on Natural Convection around a Horizontal Circular Cylinder inside a Square Enclosure Filled with Nanofluid, Int. Commun. Heat Mass Transf., vol. 39, pp. 978-986, 2012. .

  34. Sheikholeslami, M., Hashim, I., and Soleimani, S., Numerical Investigation of the Effect of Magnetic Field on Natural Convection in a Curved-Shape Enclosure, Math. Probl. Eng., vol. 2013, ID 831725, 11 pages, 2013. .

  35. Sheremet, M.A., Pop, I., and Rosca, N.C., Magnetic Field Effect on the Unsteady Natural Convection in a Wavy-Walled Cavity Filled with a Nanofluid: Buongiorno's Mathematical Model, J. Taiwan Inst. Chem. Eng., vol. 61, pp. 211-222, 2016. .

  36. Shivashankar, H.S., Prasanna, B.M.R., Sankar, M., and Sreedhara, S., Numerical Study of Natural Convection in Vertical Porous Annuli in the Presence of Magnetic Field, Int. J. Appl. Math. Mech., vol. 6, pp. 1-18, 2010. .

  37. Thomas, P.D. and Middlecoff, J.F., Direct Control of the Grid Point Distribution in Meshes Generated by Elliptic Equations, AIAA J., vol. 18, pp. 652-656, 1980. .

  38. Vanita and Kumar, A., Effect of Radial Magnetic Field on Natural Convection Flow in Alternate Conducting Vertical Concentric Annuli with Ramped Temperature, Eng. Sci. Tech., Int. J, vol. 19, pp. 1436-1451, 2016. .

  39. Wang, L., Chai, Z., and Shi, B., Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Power-Law Nanofluids in Rectangular Enclosures, Adv. Appl. Math. Mech, vol. 9, pp. 1094-1110, 2017. .

  40. Wang, Q.W., Zeng, M., Huang, Z.P., Wang, G., and Ozoe, H., Numerical Investigation of Natural Convection in an Inclined Enclosure Filled with Porous Medium under Magnetic Field, Int. J. Heat Mass Transf., vol. 50, pp. 3684-3689, 2007. .

  41. Woods, L.C., A Note on the Numerical Solution of Fourth Order Differential Equations, Aeronaut. Q., vol. 5, pp. 176-184, 1954. .

  42. Yu, P.X., Qiu, J.X., Qin, Q., and Tian, Z.F., Numerical Investigation of Natural Convection in a Rectangular Cavity under Different Directions of Uniform Magnetic Field, Int. J. Heat Mass Transf., vol. 67, pp. 1131-1144, 2013. .

  43. Zeng, M., Wang, Q.W., Huang, Z.P., Wang, G., and Ozoe, H., Numerical Investigation of Natural Convection in an Enclosure Filled with Porous Medium under Magnetic Field, Numer. Heat Transf. Part A, vol. 52, pp. 959-971, 2007. .

REFERENZIERT VON
  1. Saha Abhinav, Chakravarty Aranyak, Ghosh Koushik, Biswas Nirmalendu, Manna Nirmal K., Role of obstructing block on enhanced heat transfer in a concentric annulus, Waves in Random and Complex Media, 2022. Crossref

  2. Baadj Salim , Mir Hamed, Abderrahmane Aissa , Siavashi Majid , Moria Hazim , Mohammed Sahnoun , Koulali Aimad , THREE-DIMENSIONAL NUMERICAL INVESTIGATION OF MHD NANOFLUID CONVECTIVE HEAT TRANSFER INSIDE A CUBIC POROUS CONTAINER WITH CORRUGATED BOTTOM WALL , Journal of Porous Media, 25, 12, 2022. Crossref

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