### Abstract

In the present study, natural convection heat transfer of [Formula presented]-water nanofluid inside a square cavity with a solid circular cylinder is investigated numerically. For numerical computations, the finite element method is used by taking into consideration Buongiorno's two-phase model. Parts of the vertical surfaces of cavity are kept at constant temperature (left wall [Formula presented] and right wall [Formula presented]) while the other walls (horizontal walls and the remaining of the vertical walls) are taken as adiabatic. The effects of some pertinent parameters such as the Rayleigh number [Formula presented], nanoparticle volume fraction ([Formula presented]), thermal conductivity of the solid cylinder ([Formula presented], 0.76, 1.95, 7 and 16), radius of solid cylinder ([Formula presented]), heat source/sink length ([Formula presented]), and the heat source/sink position ([Formula presented]) on the fluid flow and heat transfer characteristics are investigated. The obtained numerical results are depicted graphically and discussed in detail from the point of view of the streamlines, isotherms, nanoparticle volume fractions and the local and average Nusselt number [Formula presented]. It is indicated that the heat transfer is enhanced with an increase in the nanoparticle volume fraction for all studied Rayleigh numbers. Furthermore, the thermal conductivity, solid circular cylinder size, [Formula presented] and [Formula presented] parameters are the key factors to control and optimize the heat transfer inside the cavity that is partially heated and cooled. The proposed method is found to be in good agreement between previously published experimental and numerical results.

Original language | English |
---|---|

Journal | Computer Methods in Applied Mechanics and Engineering |

DOIs | |

Publication status | Accepted/In press - 1 Jan 2018 |

### Fingerprint

### Keywords

- Brownian
- Buongiorno model
- Heat source/sink
- Natural convection
- Solid cylinder
- Thermophoresis

### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications

### Cite this

*Computer Methods in Applied Mechanics and Engineering*. https://doi.org/10.1016/j.cma.2018.09.041

**Effects of two-phase nanofluid model and localized heat source/sink on natural convection in a square cavity with a solid circular cylinder.** / Alsabery, Ammar I.; Gedik, Engin; Chamkha, Ali J.; Hashim, Ishak.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Effects of two-phase nanofluid model and localized heat source/sink on natural convection in a square cavity with a solid circular cylinder

AU - Alsabery, Ammar I.

AU - Gedik, Engin

AU - Chamkha, Ali J.

AU - Hashim, Ishak

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the present study, natural convection heat transfer of [Formula presented]-water nanofluid inside a square cavity with a solid circular cylinder is investigated numerically. For numerical computations, the finite element method is used by taking into consideration Buongiorno's two-phase model. Parts of the vertical surfaces of cavity are kept at constant temperature (left wall [Formula presented] and right wall [Formula presented]) while the other walls (horizontal walls and the remaining of the vertical walls) are taken as adiabatic. The effects of some pertinent parameters such as the Rayleigh number [Formula presented], nanoparticle volume fraction ([Formula presented]), thermal conductivity of the solid cylinder ([Formula presented], 0.76, 1.95, 7 and 16), radius of solid cylinder ([Formula presented]), heat source/sink length ([Formula presented]), and the heat source/sink position ([Formula presented]) on the fluid flow and heat transfer characteristics are investigated. The obtained numerical results are depicted graphically and discussed in detail from the point of view of the streamlines, isotherms, nanoparticle volume fractions and the local and average Nusselt number [Formula presented]. It is indicated that the heat transfer is enhanced with an increase in the nanoparticle volume fraction for all studied Rayleigh numbers. Furthermore, the thermal conductivity, solid circular cylinder size, [Formula presented] and [Formula presented] parameters are the key factors to control and optimize the heat transfer inside the cavity that is partially heated and cooled. The proposed method is found to be in good agreement between previously published experimental and numerical results.

AB - In the present study, natural convection heat transfer of [Formula presented]-water nanofluid inside a square cavity with a solid circular cylinder is investigated numerically. For numerical computations, the finite element method is used by taking into consideration Buongiorno's two-phase model. Parts of the vertical surfaces of cavity are kept at constant temperature (left wall [Formula presented] and right wall [Formula presented]) while the other walls (horizontal walls and the remaining of the vertical walls) are taken as adiabatic. The effects of some pertinent parameters such as the Rayleigh number [Formula presented], nanoparticle volume fraction ([Formula presented]), thermal conductivity of the solid cylinder ([Formula presented], 0.76, 1.95, 7 and 16), radius of solid cylinder ([Formula presented]), heat source/sink length ([Formula presented]), and the heat source/sink position ([Formula presented]) on the fluid flow and heat transfer characteristics are investigated. The obtained numerical results are depicted graphically and discussed in detail from the point of view of the streamlines, isotherms, nanoparticle volume fractions and the local and average Nusselt number [Formula presented]. It is indicated that the heat transfer is enhanced with an increase in the nanoparticle volume fraction for all studied Rayleigh numbers. Furthermore, the thermal conductivity, solid circular cylinder size, [Formula presented] and [Formula presented] parameters are the key factors to control and optimize the heat transfer inside the cavity that is partially heated and cooled. The proposed method is found to be in good agreement between previously published experimental and numerical results.

KW - Brownian

KW - Buongiorno model

KW - Heat source/sink

KW - Natural convection

KW - Solid cylinder

KW - Thermophoresis

UR - http://www.scopus.com/inward/record.url?scp=85055042324&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055042324&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2018.09.041

DO - 10.1016/j.cma.2018.09.041

M3 - Article

AN - SCOPUS:85055042324

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

ER -