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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018020175
pages 921-943

MIXED CONVECTION IN A LID-DRIVEN CAVITY FILLED BY A MICROPOLAR NANOFLUID WITH AN INSIDE CIRCULAR CYLINDER

Zehba A. Raizah
Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Saudia Arabia

ABSTRAKT

In this study, we numerically investigated steady mixed-convection flow and heat transfer in a lid-driven cavity filled by micropolar nanofluids with an inside circular cylinder by using the finite volume method. The inner circular cylinder and the vertical walls of the cavity were taken as adiabatic. The cavity is subjected to moving upper wall with constant temperatures on the top and bottom walls. Computations are carried out to investigate the effects of the Reynolds number, Richardson number, micropolar parameters, and the radius with positions of the inner circular cylinder on heat transfer, nanoparticle concentrations, microrotation, and fluid flows inside the square cavity for a strong concentration case (ζ = 0). Local results show that there is an effect of a micropolar parameter on the flow and heat transfer. The results for k = 0, which corresponds to the Newtonian fluid case, are compared with the previous published studies from the open literature and good agreement is obtained.

REFERENZEN

  1. Abu-Nada, E. and Chamkha, A.J., Mixed Convection Flow in a Lid-Driven Inclined Square Enclosure Filled with a Nanofluid, Euro. J. Mech. — B/Fluids, vol. 29, pp. 472–482, 2010.

  2. Abu-Nada, E. and Chamkha, A.J., Mixed Convection Flow of a Nanofluid in a Lid-Driven Cavity with a Wavy Wall, Int. Commun. Heat Mass Transf., vol. 57, pp. 36–47, 2014.

  3. Ahmadi, G., Self-Similar Solution of Imcompressible Micropolar Boundary Layer Flow over a Semi-Infinite Plate, Int. J. Eng. Sci., vol. 14, pp. 639–646, 1976.

  4. Ahmed, S.E., Mansour, M.A., Hussein, A.K., and Sivasankaran, S., Mixed Convection from a Discrete Heat Source in Enclosures with Two Adjacent Moving Walls and Filled with Micropolar Nanofluids, Eng. Sci. Technol. Int. J., vol. 19, pp. 364–376, 2016.

  5. Alleborn, N., Raszillier, H., and Durst, F., Lid-Driven Cavity with Heat and Mass Transport, Int. J. Heat Mass Transf., vol. 42, pp. 833–853, 1999.

  6. Aly, A.M., Natural Convection over Circular Cylinders in a Porous Enclosure Filled with a Nanofluid under Thermo-Diffusion Effects, J. Taiwan Inst. Chem. Eng., vol. 70, pp. 88–103, 2017.

  7. Aminossadati, S.M., Kargar, A., and Ghasemi, B., Adaptive Network-Based Fuzzy Inference System Analysis of Mixed Convection in a Two-Sided Lid-Driven Cavity Filled with a Nanofluid, Int. J. Therm. Sci., vol. 52, pp. 102–111, 2012.

  8. Arefmanesh, A. and Mahmoodi, M., Effects of Uncertainties of Viscosity Models for Al<sub>2</sub>O<sub>3</sub>–Water Nanofluid on Mixed Convection Numerical Simulations, Int. J. Therm. Sci., vol. 50, pp. 1706–1719, 2011.

  9. Billah, M.M., Rahman, M.M., and Sharif, U.M., Heat Transfer Enhancement of Nanofluids in a Lid-Driven Triangular Enclosure Having a Discrete Heater, Procedia Eng., vol. 56, pp. 330–336, 2013.

  10. Bourantas, G.C. and Loukopoulos, V.C., MHD Natural-Convection Flow in an Inclined Square Enclosure Filled with a Micropolar- Nanofluid, Int. J. Heat Mass Transf., vol. 79, pp. 930–944, 2014a.

  11. Bourantas, G.C. and Loukopoulos, V.C., Modeling the Natural Convective Flow of Micropolar Nanofluids, Int. J. Heat Mass Transf., vol. 68, pp. 35–41, 2014b.

  12. Cho, C.-C., Chen, C.-L., and Chen, C.O.-K., Mixed Convection Heat Transfer Performance of Water-Based Nanofluids in Lid-Driven Cavity with Wavy Surfaces, Int. J. Therm. Sci., vol. 68, pp. 181–190, 2013.

  13. Eringen, A.C., Simple Microfluids, Int. J. Eng. Sci., vol. 2, pp. 205–217, 1964.

  14. Eringen, A.C., Theory of Micropolar Fluids, DTIC Document, 1965.

  15. Eringen, A.C., Theory of Thermomicrofluids, J. Math. Anal. Appl., vol. 38, pp. 480–496, 1972.

  16. Gümgüm, S. and Tezer-Sezgin, M., DRBEM Solution of Mixed Convection Flow of Nanofluids in Enclosures with Moving Walls, J. Comput. Appl. Math., vol. 259, Part B, pp. 730–740, 2014.

  17. Guram, G.S. and Smith, A.C., Stagnation Flows of Micropolar Fluids with Strong and Weak Interactions, Comput. Math. Appl., vol. 6, pp. 213–233, 1980.

  18. Ha, M.Y., Kim, I.-K., Yoon, H.S., and Lee, S., Unsteady Fluid Flow and Temperature Fields in a Horizontal Enclosure with an Adiabatic Body, Phys. Fluids, vol. 14, pp. 3189–3202, 2002a.

  19. Ha, M.Y., Kim, I.-K., Yoon, H.S., Yoon, K.S., Lee, J.R., Balachandar, S., and Chun, H.H., Two-Dimensional and Unsteady Natural Convection in a Horizontal Enclosure with a Square Body, Numer. Heat Transf., Part A: Appl., vol. 41, pp. 183–210, 2002b.

  20. Hsu, T.-H. and Wang, S.-G., Mixed Convection of Micropolar Fluids in a Cavity, Int. J. Heat Mass Transf., vol. 43, pp. 1563–1572, 2000.

  21. Hussain, S., Ahmad, S., Mehmood, K., and Sagheer, M., Effects of Inclination Angle on Mixed Convective Nanofluid Flow in a Double Lid-Driven Cavity with Discrete Heat Sources, Int. J. Heat Mass Transf., vol. 106, pp. 847–860, 2017.

  22. Hyun, J.M. and Lee, J.W., Numerical Solutions for Transient Natural Convection in a Square Cavity with Different Sidewall Temperatures, Int. J. Heat Fluid Flow, vol. 10, pp. 146–151, 1989.

  23. Iwatsu, R., Hyun, J.M., and Kuwahara, K., Mixed Convection in a Driven Cavity with a Stable Vertical Temperature Gradient, Int. J. Heat Mass Transf., vol. 36, pp. 1601–1608, 1993.

  24. Jami, M., Mezrhab, A., Bouzidi, M.h., and Lallemand, P., Lattice Boltzmann Method Applied to the Laminar Natural Convection in an Enclosure with a Heat-Senerating Cylinder Conducting Body, Int. J. Therm. Sci., vol. 46, pp. 38–47, 2007.

  25. Jena, S.K. and Mathur, M.N., Similarity Solutions for Laminar Free Convection Flow of a Thermomicropolar Fluid past a Non-Isothermal Vertical Flat Plate, Int. J. Eng. Sci., vol. 19, pp. 1431–1439, 1981.

  26. Kalteh, M., Javaherdeh, K., and Azarbarzin, T., Numerical Solution of Nanofluid Mixed Convection Heat Transfer in a Lid-Driven Square Cavity with a Triangular Heat Source, Powder Technol., vol. 253, pp. 780–788, 2014.

  27. Kareem, A.K., Mohammed, H.A., Hussein, A.K., and Gao, S., Numerical Investigation of Mixed Convection Heat Transfer of Nanofluids in a Lid-Driven Trapezoidal Cavity, Int. Commun. Heat Mass Transf., vol. 77, pp. 195–205, 2016.

  28. Karimipour, A., Hemmat Esfe, M., Safaei, M.R., Toghraie Semiromi, D., Jafari, S., and Kazi, S.N., Mixed Convection of Copper–Water Nanofluid in a Shallow Inclined Lid-Driven Cavity using the Lattice Boltzmann Method, Physica A: Stat. Mech. Appl., vol. 402, pp. 150–168, 2014.

  29. Khanafer, K. and Aithal, S.M., Laminar Mixed Convection Flow and Heat Transfer Characteristics in a Lid-Driven Cavity with a Circular Cylinder, Int. J. Heat Mass Transf., vol. 66, pp. 200–209, 2013.

  30. Khanafer, K.M. and Chamkha, A.J., Mixed Convection Flow in a Lid-Driven Enclosure Filled with a Fluid-Saturated Porous Medium, Int. J. Heat Mass Transf., vol. 42, pp. 2465–2481, 1999.

  31. Khanafer, K.M., Al-Amiri, A.M., and Pop, I., Numerical Simulation of Unsteady Mixed Convection in a Driven Cavity using an Externally Excited Sliding Lid, Euro. J. Mech. B/Fluids, vol. 26, pp. 669–687, 2007.

  32. Kim, B.S., Lee, D.S., Ha, M.Y., and Yoon, H.S., A Numerical Study of Natural Convection in a Square Enclosure with a Circular Cylinder at Different Vertical Locations, Int. J. Heat Mass Transf., vol. 51, pp. 1888–1906, 2008.

  33. Lee, J.R. and Ha, M.Y., A Numerical Study of Natural Convection in a Horizontal Enclosure with a Conducting Body, Int. J. Heat Mass Transf., vol. 48, pp. 3308–3318, 2005.

  34. Lee, J.R. and Ha, M.Y., Numerical Simulation of Natural Convection in a Horizontal Enclosure with a Heat-Generating Conducting Body, Int. J. Heat Mass Transf., vol. 49, pp. 2684–2702, 2006.

  35. Lee, J.R., Ha, M.Y., Balachandar, S., Yoon, H.S., and Lee, S.S., Natural Convection in a Horizontal Layer of Fluid with a Periodic Array of Square Cylinders in the Interior, Phys. Fluids, vol. 16, pp. 1097–1117, 2004.

  36. Mansour, M.A., Mohamed, R.A., Abd-Elaziz, M.M., and Ahmed, S.E., Numerical Simulation of Mixed Convection Flows in a Square Lid-Driven Cavity Partially Heated from below Using Nanofluid, Int. Commun. Heat Mass Transf., vol. 37, pp. 1504–1512, 2010.

  37. Mirzakhanlari, S., Milani Shirvan, K., Mamourian, M., and Chamkha, A.J., Increment of Mixed Convection Heat Transfer and Decrement of Drag Coefficient in a Lid-Driven Nanofluid-Filled Cavity with a Conductive Rotating Circular Cylinder at Different Horizontal Locations: A Sensitivity Analysis, Powder Technol., vol. 305.

  38. Misra, D. and Sarkar, A., Finite Element Analysis of Conjugate Natural Convection in a Square Enclosure with a Conducting Vertical Wall, Comput. Meth. Appl. Mech. Eng., vol. 141, pp. 205–219, 1997.

  39. Muthtamilselvan, M., Kandaswamy, P., and Lee, J., Heat Transfer Enhancement of Copper–Water Nanofluids in a Lid-Driven Enclosure, Commun. Nonlin. Sci. Numer. Simul., vol. 15, pp. 1501–1510, 2010.

  40. Nayak, A.K., Haque, A., and Banerjee, A., Thermosolutal Mixed Convection of a Shear Thinning Fluid due to Partially Active Mixed Zones within a Lid-Driven Cavity, Int. J. Heat Mass Transf., vol. 106, pp. 686–707, 2017.

  41. Patankar, S., Numerical Heat Transfer and Fluid Flow, Boca Raton, FL: CRC Press, 1980.

  42. Peddieson Jr., J., An Application of the Micropolar Fluid Model to the Calculation of a Turbulent Shear Flow, Int. J. Eng. Sci., vol. 10, pp. 23–32, 1972.

  43. Sebdani, S.M., Mahmoodi, M., and Hashemi, S.M., Effect of Nanofluid Variable Properties on Mixed Convection in a Square Cavity, Int. J. Therm. Sci., vol. 52, pp. 112–126, 2012.

  44. Selimefendigil, F. and Öztop, H.F., Fuzzy-Based Estimation of Mixed Convection Heat Transfer in a Square Cavity in the Presence of an Adiabatic Inclined Fin, Int. Commun. Heat Mass Transf., vol. 39, pp. 1639–1646, 2012.

  45. Sheremet, M.A. and Pop, I., Mixed Convection in a Lid-Driven Square Cavity Filled by a Nanofluid: Buongiorno's Mathematical Model, Appl. Math. Comput., vol. 266, pp. 792–808, 2015.

  46. 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 Transf., vol. 50, 2002–2018, 2007.

  47. Waheed, M.A., Mixed Convective Heat Transfer in Rectangular Enclosures Driven by a Continuously Moving Horizontal Plate, Int. J. Heat Mass Transf., vol. 52, pp. 5055–5063, 2009.

  48. Wright, J.L., Jin, H., Hollands, K.G.T., and Naylor, D., Flow Visualization of Natural Convection in a Tall, Air-Filled Vertical Cavity, Int. J. Heat Mass Transf., vol. 49, pp. 889–904, 2006.


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