Buoyancy-driven heat transfer analysis in a square cavity with a mounted variable length partition in the presence of magnetic field

Authors

  • Arab Solghar Faculty of Engineering, Department of Mechanical Engineering, Vali-e-Asr University, Rafsanjan, Iran
  • M. Davoudian Mechanical Branch, Department of Engineering, Islamic Azad University, Izeh, Iran; Faculty of Engineering, Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran

Keywords:

free convection, nanofluid, cavity, baffle, MHD

Abstract

In this study, steady, laminar, natural-convection flow in the presence of a magnetic field in a square enclosure with vertical partition, heated from left and cooled from right is considered. The horizontal walls are well insulated. The cavity is filled with Al2O3–water nanofluid. To consider the influence of magnetic force, a horizontal magnetic field is externally imposed on the left wall. The basic nonlinear differential equations describing the flow driven by natural convection consist of continuity, momentum and energy which are solved numerically utilising finite volume code based on PATANKAR’s SIMPLER method. It is found that for a given condition, the height of vertical partition has strong effect upon flow field and the rate of heat transfer. Also it is shown that Nusselt number of hot wall varies remarkably with volume fraction of nanoparticles in base fluid and changes differently at low, medium and high Rayleigh number.

Downloads

Download data is not yet available.

References

Ambarita, H., Kishinami, K., Maruya, M. D., Saitoh, T., Takahashi, H., & Suzuki, J. (2006).

Laminar natural convection heat transfer in an air filled square cavity with two insulated

baffles attached to its horizontal walls. Thermal Science and Engineering, 14, 35–46.

Aminossadati, S. M., & Ghasemi, B. (2009). Natural convection cooling of a localized heat

source at the bottom of a nanofluid-filled enclosure. European Journal of fluid mechanics B,

, 630–640.

Ampofo, F. (2004). Turbulent natural convection in an air filled partitioned square cavity. International

Journal of Heat and Fluid Flow, 25, 103–114.

Anderson, T. N., Duke, M., & Carson, J. K. (2010). Suppression of natural convection heat

transfer coefficients in an attic shaped enclosure. International Communications in Heat and

Mass Transfer, 37, 984–986.

Arefmanesh, A., Najafi, M., & Musavi, S. H. (2013). Buoyancy-driven fluid flow and heat

transfer in a square cavity with a wavy baffle – Meshless numerical analysis. Engineering

Analysis with Boundary Elements, 37, 366–382.

Barakos, G., Mitsoulis, E., & Assimacopoulos, D. (1994). Natural convection flow in a square

cavity revisited: Laminar and turbulent models with wall functions. International Journal of

Numerical Methods Fluids, 18, 695–719.Ben-Nakhi, A., & Chamkha, A. J. (2007). Conjugate natural convection in a square enclosure

with inclined thin fin of arbitrary length. Thermal Science and Engineering, 46, 467–478.

Bilgen, E. (2005). Natural convection in cavities with a thin fin on the hot wall. International

Journal of Heat and Fluid Flow, 48, 3493–3505.

Brinkman, H. C. (1952). The viscosity of concentrated suspensions and solutions. Journal of

Chemical Physics, 20, 571–581.

De Vhal Davies, G. (1983). Natural convection of air in a square cavity: a bench mark numerical

solution. International Journal for Numerical Methods in Fluids, 3, 227–248.

Ghasemi, B., Aminossadati, S. M., & Raisi, A. (2001). Magnetic field effect on natural convection

in a nanofluid-filled square enclosure. International Journal of Thermal Sciences, 50,

–1756.

Ho, C. J., Chen, M. W., & Li, Z. W. (2008). Numerical simulation of natural convection of nanofluid

in a square enclosure: Effect due to uncertainties of viscosity and thermal conductivity.

International Journal of Heat and Mass Transfer, 51, 4506–4516.

Kahveci, K., & Oztuna, S. (2008). A differential quadrature solution of MHD natural convection

in an inclined enclosure with a partition. ASME Journal of Fluids Engineering, 130, 021102.

Kandaswamy, P., Lee, J., Abdul Hakeem, A. K., & Saravanan, S. (2008). Effect of baffle–cavity

ratios on buoyancy convection in a cavity with mutually orthogonal heated baffles. International

Journal of Heat and Mass Transfer, 51, 1830–1837.

Khanafer, K., Vafai, K., & Lightstone, M. (2003). Buoyancy-driven heat transfer enhancement in

a two-dimensional enclosure utilizing nanofluids. International Journal of Heat and Mass

Transfer, 46, 3639–3653.

Mahmoodi, M. (2011). Numerical simulation of free convection of nanofluid in a square cavity

with an inside heater. International Journal of Thermal Sciences, 50, 2161–2175.

Markatos, N. C., & Pericleous, K. A. (1984). Laminar and turbulent natural convection in an

enclosed cavity. International Journal of Heat and Mass Transfer, 27, 755–772.

Maxwell-Garnett, J. C. (1904). Colours in metal glasses and in metallic films. Philosophical

Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 203,

–420.

Nada, S. A. (2007). Natural convection heat transfer in horizontal and vertical closed narrow

enclosures with heated rectangular finned base plate. International Journal of Heat and Mass

Transfer, 50, 667–679.

Oztop, H. F., & Abu-Nada, E. (2008). Numerical study of natural convection in partially heated

rectangular enclosures filled with nanofluids. International Journal of Heat and Fluid Flow,

, 1326–1336.

Oztop, H. F., Dagtekin, I., & Bahloul, A. (2004). Comparison of position of a heated thin plate

located in a cavity for natural convection. International Communications in Heat and Mass

Transfer, 31, 121–132.

Saravanan, S., Abdul Hakeem, A. K., & Kandaswamy, P. (2009). Natural convection in a cavity

with orthogonal heat-generating baffles of different lengths. Heat Transfer Research, 40,

–819.

Saravanan, S., Abdul Hakeem, A. K., Kandaswamy, P., & Lee, J. (2008). Buoyancy convection

in a cavity with mutually orthogonal heated plates. Computers and Mathematics with Applications,

, 2903–2912.

Wang, X., Shi, D., & Li, D. (2012). Natural convective flow in an inclined lid-driven enclosure

with a heated thin plate in the middle. International Journal of Heat and Mass Transfer, 55,

–8087.

Downloads

Published

2014-03-01

How to Cite

Arab Solghar, & M. Davoudian. (2014). Buoyancy-driven heat transfer analysis in a square cavity with a mounted variable length partition in the presence of magnetic field. European Journal of Computational Mechanics, 23(1-2), 61–77. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1341

Issue

Section

Original Article