Chapter 7
Natural Convection in Nanofluids
7.1 Natural Convection in Water
As discussed in preceding chapters, the suspension of nanoparticles is one of the best
suitable alternatives to enhance the profitable thermophysical properties of working
fluids. But before focusing on the effect of nanoparticles dispersion on the natural
convection heat transfer, a brief discussion on the natural convection in water is
essential for the comparison and validation purpose.
There has been abundant research work, comprising theoretical and experimental,
conducted on the study of natural convection in water or gases, and different kinds of
outcomes have been presented for innumerable geometrical-shaped test sections. The
Rayleigh–Bénard convection is the classical model used by the researchers to study
the natural convection in an enclosure. In the Rayleigh–Bénard convection, the fluid
is enclosed between two plates and heated from below and cooled from above, as
shown in Fig. 7.1, and the model is presented by Barna et al. [1] to show the convection
rolls in two spatial dimensions: a horizontal and a vertical. The effect of non-uniform
temperature heating of side wall on natural convection in a parallelepiped enclosure
filled with water was explored by Filis et al. [2]. Two different cells having a half
height of enclosure were used to create a non-uniform heating, in which one top cell
filled with hot water and other bottom cell with cold water. A forced direct thermal
contact due to flow structure for the aspect ratio (ratio of the enclosure depth to the
enclosure width) of 0.749 was observed and resulted in the weak dependency of the
Nusselt number (Nu) on the Rayleigh number (Ra). The transient natural convection
in an inclined rectangular enclosure which is heated and cooled by two opposed walls
was studied through experiments by Upton and Watt (1997). The temperature and
velocity field during the evolution of the flow to steady state for different inclination
angles of 45°, 90° and 135° were examined. For inclination angle 45°, a rapid growth
in Nu was found at the center of the enclosure as compared to the wall for aspect ratio
of 1.0. Turan et al. [3] have numerically investigated the effect of constant heat flux
conditions on natural convection in a rectangular enclosure with heated side walls
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
A. Kumar and S. Subudhi, Thermal Characteristics and Convection in Nanofluids,
Lecture Notes in Mechanical Engineering,
https://doi.org/10.1007/978-981-33-4248-4_7
151