Open Access
ARTICLE
Impacts of Heat Flux Distribution, Sloping Magnetic Field and Magnetic Nanoparticles on the Natural Convective Flow Contained in a Square Cavity
Latifa M. Al-Balushi, M. M. Rahman*
Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman
* Corresponding Author: M. M. Rahman. Email:
Fluid Dynamics & Materials Processing 2020, 16(3), 441-463. https://doi.org/10.32604/fdmp.2020.08551
Received 06 September 2019; Accepted 11 December 2019; Issue published 25 May 2020
Abstract
In the present paper, the effect of the heat flux distribution on the natural convective flow inside a square cavity in the presence of a sloping magnetic
field and magnetic nanoparticles is explored numerically. The nondimensional
governing equations are solved in the framework of a finite element method
implemented using the Galerkin approach. The role played by numerous model
parameters in influencing the emerging thermal and concentration fields is examined; among them are: the location of the heat source and its length
H*, the magnitude of the thermal Rayleigh number, the nanoparticles shape and volume
fraction, and the Hartmann number. It is found that the nanofluid velocity
becomes higher when the thermal source length, the nanoparticles volume fraction and/or the thermal Rayleigh number are increased, while it decreases as
the Hartmann number
Ha grows and the position of the heat source moves toward
the center of the lower wall of the cavity. Moreover, the temperature of the nano-
fluid grows with the extension of the thermal source and decreases slowly when
the heat flux position moves toward the center of the lower wall. The outcomes of
the research also indicate that the average Nusselt number becomes smaller on
increasing Hartmann number
Ha and heat source length
H*. The addition of
Fe
3O
4 to engine oil leads to a higher rate of heat transfer with respect to the addition of SiO
2 particles. Blade-shaped nanoparticles generate the highest value of
the Nusselt number compared to all the other considered shapes.
Keywords
Cite This Article
Al-Balushi, L. M., Rahman, M. M. (2020). Impacts of Heat Flux Distribution, Sloping Magnetic Field and Magnetic Nanoparticles on the Natural Convective Flow Contained in a Square Cavity.
FDMP-Fluid Dynamics & Materials Processing, 16(3), 441–463. https://doi.org/10.32604/fdmp.2020.08551