Cover
Vol. 14 No. 2 (2014)

Published: June 30, 2014

Pages: 137-148

Original Article

Natural Convection Heat Transfer in Arc Shape Wall Porous Cavity Filled with Nano-Fluid

Abstract

Natural convection heat transfer in porous cavity with arc shape wall filled with nanofluid is studied numerically. The right arc shape wall of the cavity is heated at constant temperature (Th) while the left wall is kept cold at constant temperature (Tc), and the other horizontal walls are thermally insulated. The governing equations of the heat transfer and nanofluid flow are solved Flex PDE software. A temperature independent nanofluids properties models are adopted. The investigated parameters are the nanoparticles volume fraction Ø= (0-0.2), Rayleigh number Ra (10-1000) and arc center Ce (1-∞). The results are presented by contour of streamlines, isotherms and the average Nusselt number. The results have showed that the average Nusselt number decreases with increasing Ce and increases with increasing Ra and Ø.

References

  1. Eiyad Abu-Nada, Ali J. Chamkha, Effect of fluid variable properties on natural convection in closures filled with a Cuo-EG- water nanofluid, International Journal of thermal science 49 (2010) 2339-2352.
  2. Saleh H., Roslan R., Hashim I., Natural convection heat transfer in a nanofluid-filled trapezoidal enclosure, International Journal of heat and mass transfer, 54 (2011) 194-201.
  3. Sheikh Zadeh G.A., Arfmanesh A., Kheirkah M.H., Abdollah R, Natural convection of Cu-water nanofluid in a cavity with partially active side walls, European Journal of Mechanics B/fluids 3 (2011) 166-176.
  4. Massimo Corcione, Empirical correlating equations for predicting the effective thermal conductivity and dynamics viscosity of nanofluids, Energy convection and Management, 52 (2011) 787-793.
  5. Eiyad Abu-Nada, Effect variable viscosity and thermal conductivity of AL 2 O 3 -water nanofluid on heat transfer enhancement in natural convection, International Journal of heat fluid flow 30 (2009) 679-690.
  6. Farhad Talebi, Amir Houshang Mahmoudi, Mina Shahi, Numerical study of mixed convection flows in a square lid- driven cavity utilizing nanofluid, International communications in Heat and Mass Transfer 37 (2010) 79- 90.
  7. Singh A. K, Thermal conductivity of Nanofluids, Defense Science Journal, 58 (2008) 600-607.
  8. Qiang Sun, Ioan Pop, Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall, International Journal of thermal Sciences 50 (2011) 2141- 2153.
  9. Aminossadati S. M, Ghasemi B., Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure, European Journal of Mechanics B/fluid 29 (2009) 630-640.
  10. Ali J. Chamkha, Muneer A. Ismael, Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall, International Journal of Thermal Sciences, 67 (2013) 135-151.
  11. Muneer A. Ismael, Ahmed Abdul Kareem Mahdi, Conjugate heat transfer in a Differentially Heated Porous Cavity Filled with nanofluids, Basrah Journal for Engineering Science (2013) 123-139.
  12. Mostafa Mahmoodi, Seyed Mohammed Hashemi, Numerically Study of Natural convection of a nanofluid in C-shaped enclosures, International journal of thermal Sciences, 55 (2012) 76-89.
  13. Mostafa Mahmoodi, Numerical Simulation of free convection of nanofluid in a square cavity with an inside heater, International journal of thermal Sciences, 50 (2011) 2161-2175.
  14. Hakan F. Oztop, Eiyad Abu-Nada, Numerical Study of natural convection in partially heated rectangular enclosures filled with nanofluids, International Journal of Heat and Fluid Flow, 29 (2008) 1326-1336.
  15. Khanafer K., Vafai K., Lightstone M., Buoyancy- driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Transfer 46 (2003) 3639–3653.
  16. Brinkman H.C., The viscosity of concentrated suspensions and solutions, J. Chem. Phys. 20 (1952) 571- 571.
  17. Aminossadati S. M., Ghasemi B., Enhanced natural convection in an isosceles triangular enclosure filled with nanofluid, Computers and Mathematics with Applications 61 (2011) 1739-1753.
  18. Maxwell J. C., A Treatise on Electricity and Magnetism, (Vol. II, Oxford University press, Cambridge).
  19. Khodadadi J.M., Hosseini Zahed S. F., Nanoparticles- enhanced phase change materials (NEPCM) with great potential for improved thermal energy storage, Int. communications in Heat and Mass Transfer 34 (2007) 534- 543.
  20. Ean Hin Ooi, Viktor Popov, Numerically Study of influence of nanoparticle shape on the natural convection in CU-water nanofluid, Int. Journal of thermal Science 65 (2013) 178-188.
  21. Raj Kamal Tiwar, Manab Kumar Dos, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. communications in Heat and Mass Transfer 50 (2007) 2002-2018).
  22. Yu W. and Choi S.U.S., The role of interfacial layers in the enhanced thermal Conductivity of nanofluids: A renovated Maxwell model, Journal of Nanoparticles Research 5 (2003) 167-171.
  23. Backstrom G., Fields of physics by finite element analysis using Flex PDE, by GB publishing and Gunnar Backstrom Malmo, Sweden.
  24. Baytas A. C., Pop I., Free convection in oblique enclosures filled with porous medium, International journal of Heat and Mass Transfer 42 (1999) 1047-1057.