Conjugate Free Convection in a Square Cavity Filled with Nanofluid and Heated from Below by Spatial Wall Temperature

The problem of conjugate free convection in a square
cavity filled with nanofluid and heated from below by spatial wall
temperature is studied numerically using the finite difference method.
Water-based nanofluid with copper nanoparticles are chosen for the
investigation. Governing equations are solved over a wide range
of nanoparticle volume fraction (0 ≤ φ ≤ 0.2), wave number
((0 ≤ λ ≤ 4) and thermal conductivity ratio (0.44 ≤ Kr ≤ 6). The
results presented for values of the governing parameters in terms of
streamlines, isotherms and average Nusselt number. It is found that
the flow behavior and the heat distribution are clearly enhanced with
the increment of the non-uniform heating.




References:
[1] S. Ostrach, “Natural convection in enclosures,” Journal of Heat Transfer,
vol. 110, no. 4b, pp. 1175–1190, 1988.
[2] C. Shu and K. Wee, “Numerical simulation of natural convection in
a square cavity by simple-generalized differential quadrature method,”
Computers & fluids, vol. 31, no. 2, pp. 209–226, 2002. [3] O. Turan, N. Chakraborty, and R. J. Poole, “Laminar natural convection
of bingham fluids in a square enclosure with differentially heated side
walls,” Journal of Non-Newtonian Fluid Mechanics, vol. 165, no. 15,
pp. 901–913, 2010.
[4] A. Alsabery, H. Saleh, N. Arbin, and I. Hashim, “Unsteady natural
convection in a square cavity partially filled with porous media using a
thermal non-equilibrium model,” Optimization, vol. 610, p. 9999726.
[5] K. Khanafer, K. Vafai, and M. Lightstone, “Buoyancy-driven
heat transfer enhancement in a two-dimensional enclosure utilizing
nanofluids,” International Journal of Heat and Mass Transfer, vol. 46,
no. 19, pp. 3639–3653, 2003.
[6] R.-Y. Jou and S.-C. Tzeng, “Numerical research of nature convective
heat transfer enhancement filled with nanofluids in rectangular
enclosures,” International Communications in Heat and Mass Transfer,
vol. 33, no. 6, pp. 727–736, 2006.
[7] R. Nasrin and S. Parvin, “Investigation of buoyancy-driven flow and
heat transfer in a trapezoidal cavity filled with water–Cu nanofluid,”
International Communications in Heat and Mass Transfer, vol. 39, no. 2,
pp. 270–274, 2012.
[8] J. M. House, C. Beckermann, and T. F. Smith, “Effect of a centered
conducting body on natural convection heat transfer in an enclosure,”
Numerical Heat Transfer, vol. 18, no. 2, pp. 213–225, 1990.
[9] F.-Y. Zhao, D. Liu, and G.-F. Tang, “Conjugate heat transfer in square
enclosures,” Heat and mass transfer, vol. 43, no. 9, pp. 907–922, 2007.
[10] N. H. Saeid and Y. Yaacob, “Natural convection in a square cavity with
spatial side-wall temperature variation,” Numerical Heat Transfer, Part
A: Applications, vol. 49, no. 7, pp. 683–697, 2006.