Analysis of natural convective heat transport in homocentric annuli containing nanofluids with an oriented magnetic field using nonhomogeneous dynamic model

M. J. Uddin, M. M. Rahman, M. S. Alam

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, the time-dependent natural convective heat transport in homocentric annuli containing nanofluids accompanying an oriented magnetic field using a nonhomogeneous dynamic mathematical model is numerically investigated. The analysis is carried out for four different shapes of inner walls such as triangular, square, elliptical and cylindrical. The outermost cylindrical boundary of the annulus is regarded at an unvarying low temperature and undifferentiated thermal condition on the inner surface of the annulus is considered. A finite element method is implemented for finding the solutions to the nanofluid equations of the problem. The magnetite iron oxide–kerosene nanofluid has been taken to gain insight into the thermal fields and concentration levels in terms of isotherms and isoconcentrations, respectively. The local Nusselt number distributions along the interior and exterior boundaries have been displayed for various flow parameters of the problem. To find the best performer, the average Nusselt number enhancements are demonstrated varying four different shapes of inner wall for ten sorts of nanofluids compared to that of base fluids. Results show that the dispersion of local Nusselt number decreases with the increase in the nanoparticle diameter and Hartmann number, whereas it enhances with the increase in the measure of nanoparticle by volume, magnetic field inclination angle and Rayleigh number. It is also found that the inner shape of the annulus significantly affects the thermal flow as well as the Nusselt number.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalNeural Computing and Applications
DOIs
Publication statusAccepted/In press - Feb 28 2017

Fingerprint

Nusselt number
Dynamic models
Magnetic fields
Nanoparticles
Magnetite
Isotherms
Mathematical models
Iron
Finite element method
Fluids
Hot Temperature
Temperature

Keywords

  • Brownian diffusion
  • Dynamic model
  • Heat transfer
  • Homocentric annuli
  • Nanofluids
  • Thermophoresis

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence

Cite this

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abstract = "In this paper, the time-dependent natural convective heat transport in homocentric annuli containing nanofluids accompanying an oriented magnetic field using a nonhomogeneous dynamic mathematical model is numerically investigated. The analysis is carried out for four different shapes of inner walls such as triangular, square, elliptical and cylindrical. The outermost cylindrical boundary of the annulus is regarded at an unvarying low temperature and undifferentiated thermal condition on the inner surface of the annulus is considered. A finite element method is implemented for finding the solutions to the nanofluid equations of the problem. The magnetite iron oxide–kerosene nanofluid has been taken to gain insight into the thermal fields and concentration levels in terms of isotherms and isoconcentrations, respectively. The local Nusselt number distributions along the interior and exterior boundaries have been displayed for various flow parameters of the problem. To find the best performer, the average Nusselt number enhancements are demonstrated varying four different shapes of inner wall for ten sorts of nanofluids compared to that of base fluids. Results show that the dispersion of local Nusselt number decreases with the increase in the nanoparticle diameter and Hartmann number, whereas it enhances with the increase in the measure of nanoparticle by volume, magnetic field inclination angle and Rayleigh number. It is also found that the inner shape of the annulus significantly affects the thermal flow as well as the Nusselt number.",
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N2 - In this paper, the time-dependent natural convective heat transport in homocentric annuli containing nanofluids accompanying an oriented magnetic field using a nonhomogeneous dynamic mathematical model is numerically investigated. The analysis is carried out for four different shapes of inner walls such as triangular, square, elliptical and cylindrical. The outermost cylindrical boundary of the annulus is regarded at an unvarying low temperature and undifferentiated thermal condition on the inner surface of the annulus is considered. A finite element method is implemented for finding the solutions to the nanofluid equations of the problem. The magnetite iron oxide–kerosene nanofluid has been taken to gain insight into the thermal fields and concentration levels in terms of isotherms and isoconcentrations, respectively. The local Nusselt number distributions along the interior and exterior boundaries have been displayed for various flow parameters of the problem. To find the best performer, the average Nusselt number enhancements are demonstrated varying four different shapes of inner wall for ten sorts of nanofluids compared to that of base fluids. Results show that the dispersion of local Nusselt number decreases with the increase in the nanoparticle diameter and Hartmann number, whereas it enhances with the increase in the measure of nanoparticle by volume, magnetic field inclination angle and Rayleigh number. It is also found that the inner shape of the annulus significantly affects the thermal flow as well as the Nusselt number.

AB - In this paper, the time-dependent natural convective heat transport in homocentric annuli containing nanofluids accompanying an oriented magnetic field using a nonhomogeneous dynamic mathematical model is numerically investigated. The analysis is carried out for four different shapes of inner walls such as triangular, square, elliptical and cylindrical. The outermost cylindrical boundary of the annulus is regarded at an unvarying low temperature and undifferentiated thermal condition on the inner surface of the annulus is considered. A finite element method is implemented for finding the solutions to the nanofluid equations of the problem. The magnetite iron oxide–kerosene nanofluid has been taken to gain insight into the thermal fields and concentration levels in terms of isotherms and isoconcentrations, respectively. The local Nusselt number distributions along the interior and exterior boundaries have been displayed for various flow parameters of the problem. To find the best performer, the average Nusselt number enhancements are demonstrated varying four different shapes of inner wall for ten sorts of nanofluids compared to that of base fluids. Results show that the dispersion of local Nusselt number decreases with the increase in the nanoparticle diameter and Hartmann number, whereas it enhances with the increase in the measure of nanoparticle by volume, magnetic field inclination angle and Rayleigh number. It is also found that the inner shape of the annulus significantly affects the thermal flow as well as the Nusselt number.

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