THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

Natural convection in an inclined porous triangular enclosure with various thermal boundary conditions

ABSTRACT
The aim of the study is to analyze the effect of two different thermal boundary conditions on natural convection in a porous triangular enclosure. Sinusoidal and linearly varying temperature profiles on the left wall are considered. The top wall of the enclosure is kept to be adiabatic. The Darcy model is adopted in this study and the governing equations are solved using the finite difference method for various values of inclination angle and Darcy-Rayleigh number. The results are presented in the form of streamlines, isotherms and Nusselt numbers. The heat transfer rates are calculated and compared between two thermal boundary conditions. The heat transfer is more enhanced in the case of sinusoidal wall temperature than linearly varying wall temperature.
KEYWORDS
PAPER SUBMITTED: 2016-01-30
PAPER REVISED: 2016-06-16
PAPER ACCEPTED: 2018-05-21
PUBLISHED ONLINE: 2018-06-03
DOI REFERENCE: https://doi.org/10.2298/TSCI160130159S
REFERENCES
  1. Aich, W., Hajri, I., Omri, A., Numerical Analysis of Natural Convection in a Prismatic Enclosure, Therm. Sci., 15 (2011), 2, pp. 437—446
  2. Sourtiji, E., Hosseinizadeh, S. F., Heat Transfer Augmentation of Magnetohyrodynamics Natural Convection in L-Shape Cavities Utilizing Nanofluids, Therm. Sci., 16 (2012), 2, pp. 489—501
  3. Cho, C.-C., Yau, H.-T., Chen, C.-K., Enchancement of Natural Convection Heat Transfer in a U-Shaped Cavity Filled with Al2O3-Water Nanofluid, Therm. Sci., 16 (2012), 5, pp. 1317—1323
  4. Kolsi, L., Abidi, A., Maatki, C., Borjini, M. N., Aissia, H. B., Combined Radiation-Natural Convection in Three-Dimensional Verticals Cavities, Therm. Sci., 15 (2011), pp. S327—S339
  5. Sivasankaran, S., Bhuvaneswari, M., Effect of Thermally Active Zones and Direction of Magnetic Field on Hydromagnetic Convection in an Enclosure, Therm. Sci., 15 (2011), pp. S367—S382
  6. Chamkha, A. J., Selimefendigil, F., Ismael, M. A., Mixed Convection in a Partially Layered Porous Cavity with an Inner Rotating Cylinder, Numer. Heat Transf. A, 69 (2016), 6, pp. 659—675
  7. Cianfrini, M., Corcione, M., Quintino, A., Natural Convection in Square Enclosures Differentially Heated at Sides Using Alumina-Water Nanofluids with Temperature-Dependent Physical Properties, Therm. Sci., 19 (2015), 2, pp. 591—608
  8. Salari, M., Mohammadtabar, A., Mohammadtabar, M., Effects of Circular Corners and Aspect-Ratio on Entropy Generation Due to Natural Convection of Nanofluid Flows in Rectangular Cavities, Therm. Sci., 19 (2015), 5, pp. 1621—1632
  9. Chang, B.-H., Numerical Study of Flow and Heat Transfer in Differentially Heated Enclosures, Therm. Sci., 18 (2014), 2, pp. 451—463
  10. Baytas, A. C., Pop, I., Free Convection in Oblique Enclosures Filled with a Porous Medium, Int. J. Heat Mass Transf., 42 (1999), pp. 1047—1057
  11. Saeid, N. H., Pop, I., Transient Free Convection in a Square Cavity Filled with a Porous Medium, Int. J. Heat Mass Transf., 47 (2004), pp. 1917—1924
  12. Sankar, M., Bhuvaneswari, M., Sivasankaran, S., Do, Y., Buoyancy Induced Convection in a Porous Cavity with Partially Thermally Active Sidewalls, Int. J. Heat Mass Transf., 54 (2011), pp. 5173—5282
  13. Bhuvaneswari, M., Sivasankaran, S., Kim, Y. J., Effect of Aspect Ratio on Natural Convection in a Porous Enclosure with Partially Active Thermal Walls, Comput. Math. Appl., 62 (2011), pp. 3844—3856
  14. Salmun, H., Convective Patterns in a Triangular Domain, Int. J. Heat Mass Transf., 38 (1995), pp. 351—362
  15. Kent, E. F., Asmaz, E., Overbay, S., Laminar Natural Convection in Right Triangular Enclosures, Heat Mass Transf., 44 (2007), pp. 187—200
  16. Omri, A., Najjari, M., Nasrallah, S.B., Numerical Analysis of Natural Buoyancy-Induced Regimes in Isoceles Triangular Cavities, Numer. Heat Transf. A, 52 (2007), pp. 661—678
  17. Roy, S., Basak, T., Thirumalesha, C., Krishna, C. M., Finite Element Simulation on Natural Convection Flow in a Triangular Enclosure due to Uniform and Nonuniform Bottom Heating, ASME J. Heat Transf., 130 (2008), pp. 032501
  18. Selimefendigil, F., Öztop, H. F., Numerical Study and POD-Based Prediction of Natural Convection in a Ferrofluids-Filled Triangular Cavity with Generalized Neural Networks, Numer. Heat Transf. A, 67 (2015), 10, pp. 1136—1161
  19. Varol, Y., Oztop, H. F., Varol, A., Free Convection in Porous Media Filled Right-Angle Triangular Enclosures, Int. Commun. Heat Mass Transf., 33 (2006), pp. 1190—1197
  20. Oztop, H. F., Varol, Y., Pop, I., Investigation of Natural Convection in Triangular Enclosure Filled with Porous Media Saturated with Water Near 4°C, Energ. Convers. Manage., 50 (2009), pp. 1473—1480
  21. Varol, Y., Oztop, H. F., Pop, I., Influence of Inclination Angle on Buoyancy-Driven Convection in Triangular Enclosure Filled with a Fluid-Saturated Porous Medium, Heat Mass Transf., 44 (2008), pp. 617-624
  22. Basak, T., Roy, S., Ramakrishna, D., Pop, I., Visualization of Heat Transport during Natural Convection within Porous Triangular Cavities via Heatline Approach, Numer. Heat Transf. A, 57 (2010), pp. 431—452
  23. Anandalakshmi, R., Kaluri, R. S., Basak, T., Heatline Based Thermal Management for Natural Convection Within Right-Angled Porous Triangular Enclosures with Various Thermal Conditions of Walls, Energy, 36 (2011), pp. 4879—4896
  24. Saeid, N. H., Natural Convection in Porous Cavity with Sinusoidal Bottom Wall Temperature Variation, Int. Commun. Heat Mass Transf., 32 (2005), pp. 454—463
  25. Basak, T., Roy, S., Paul, T., Pop, I., Natural Convection in a Square Cavity Filled with a Porous Medium: Effects of Various Thermal Boundary Conditions, Int. J. Heat Mass Transf., 49 (2006), pp. 1430—1441
  26. Mansour, M. A., Abd-Elaziz, M. M., Mohamed, R. A., Ahmed, S. E., Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions, Transp. Porous Media, 87 (2011), pp. 7—23
  27. Sivasankaran, S., Bhuvaneswari, M., Natural Convection in a Porous Cavity with Sinusoidal Heating on Both Sidewalls, Numer. Heat Transf. A, 63 (2013), pp. 14—30
  28. Sivasankaran, S., Cheong, H. T., Bhuvaneswari, M., Ganesan, P., Effect of Moving Wall Direction on Mixed Convection in an Inclined Lid-Driven Square Cavity with Sinusoidal Heating, Numer. Heat Transf. A, 69 (2016), 6, pp. 630—642
  29. Nazari, M., Nejad, E. S., Kayhani, M. H., Thermal Non-Equilibrium Heat Transfer in a Porous Cavity in the Presence of Bio-Chemical Heat Source, Therm. Sci., 19 (2015), 2, pp. 579—590
  30. Rahman, M. M., Oztop, H. F., Saidur, R., Mekhilef, S., Al-Salem, K., Unsteady Mixed Convection in a Porous Media Filled Lid-Driven Cavity Heated by a Semi-Circular Heaters, Therm. Sci., 19 (2015), 5, pp. 1761—1768