Numerical simulation of convective heat transport within the nanofluid filled vertical tube of plain and uneven side walls

Abstract

Two-dimensional transient natural convective flow in a vertical tube of plain and uneven side-walls containing cobalt-kerosene nanofluids is analyzed using a nonhomogeneous dynamic model. The vertical right wall of the enclosure is maintained at a constant low temperature and the left wall is heated by a uniform thermal condition whereas the horizontal side-walls are insulated. The Brownian motion and thermophoretic phenomena of the nanoparticles are considered in the model. The governing nonlinear momentum, energy, and concentration equations are solved numerically using a Galerkin weighted residual finite element method. The thermal, flow and concentration fields are obtained to understand the flow dynamics of cobalt-kerosene nanofluid in two types of enclosures. The local and average Nusselt numbers are analyzed for plain and uneven side walls of the tube for different parameters of the problem. The simulated results are compared with the experimental as well as with the numerical data available in the literature for some special cases. The outcomes show that the tube of having uneven vertical side-walls give higher heat transfer for lower values of the thermal Rayleigh number; whereas for the higher values of the thermal Rayleigh number, the tube of plain vertical side-walls exhibit significantly higher heat transfer rate.

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“…Balamurugan et al [21] exposed an influence of radiation absorption, viscous and joules dissipation on mhd free convection chemically reactive and radiative flow in a moving inclined porous plate with temperature dependent heat source. Uddin et al [22] reported on numerical simulation of convective heat transport within the nanofluid filled vertical tube of plain and uneven side walls. Severno and Campo [23] studied a finite strip method applied to steady heat conduction and thermal radiation in a planar slab: absorbing ̶ emitting gray material and parallel diffuse surfaces.…”

Impacts of Heat Flux Distribution, Sloping Magnetic Field and Magnetic Nanoparticles on the Natural Convective Flow Contained in a Square Cavity

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“…Due to the potential applications of nanofluid in different fields of science and engineering such as solar energy, chemical, microchannel, bioengineering and automotive, it has received considerable attention by many researchers like Alsabery et al [23,24], Al Kalbani et al [25], Uddin et al [26][27][28], Astanina et al [29], Sathiyamoorthy et al [30], Mehryan et al [31] and Rahman et al [32] who have studied the dynamics of nanofluids in various cavities. Mathematical modelling of nanofluids provides a representation of the parameters governing the problem that can be examined with the least possible cost, and thereby provide a good understanding of the situation.…”