# Effect of the buoyancy force on natural convection in a cubical cavity with a heat source of triangular cross-section

N. S. Gibanov, M. A. Sheremet

Research output: Contribution to journalConference article

### Abstract

Numerical analysis of laminar natural convection inside a cubical cavity with a local heat source of triangular cross-section has been conducted. The mathematical model formulated in dimensionless variables such as «vector potential functions - vorticity vector» has been solved by the finite difference method of the second order accuracy. The three-dimensional temperature fields, 2D streamlines and isotherms in a wide range of the Rayleigh number from 104 to 106 have been presented illustrating variations of the fluid flow and heat transfer.

Original language English 012057 IOP Conference Series: Materials Science and Engineering 124 1 https://doi.org/10.1088/1757-899X/124/1/012057 Published - 2 Jun 2016 International Conference on Mechanical Engineering, Automation and Control Systems 2015, MEACS 2015 - Tomsk, Russian FederationDuration: 1 Dec 2015 → 4 Dec 2015

### Fingerprint

Buoyancy
Natural convection
Vorticity
Finite difference method
Isotherms
Numerical analysis
Flow of fluids
Temperature distribution
Mathematical models
Heat transfer
Hot Temperature

### ASJC Scopus subject areas

• Materials Science(all)
• Engineering(all)

### Cite this

In: IOP Conference Series: Materials Science and Engineering, Vol. 124, No. 1, 012057, 02.06.2016.

Research output: Contribution to journalConference article

title = "Effect of the buoyancy force on natural convection in a cubical cavity with a heat source of triangular cross-section",
abstract = "Numerical analysis of laminar natural convection inside a cubical cavity with a local heat source of triangular cross-section has been conducted. The mathematical model formulated in dimensionless variables such as «vector potential functions - vorticity vector» has been solved by the finite difference method of the second order accuracy. The three-dimensional temperature fields, 2D streamlines and isotherms in a wide range of the Rayleigh number from 104 to 106 have been presented illustrating variations of the fluid flow and heat transfer.",
author = "Gibanov, {N. S.} and Sheremet, {M. A.}",
year = "2016",
month = "6",
day = "2",
doi = "10.1088/1757-899X/124/1/012057",
language = "English",
volume = "124",
journal = "IOP Conference Series: Materials Science and Engineering",
issn = "1757-8981",
publisher = "IOP Publishing Ltd.",
number = "1",

}

TY - JOUR

T1 - Effect of the buoyancy force on natural convection in a cubical cavity with a heat source of triangular cross-section

AU - Gibanov, N. S.

AU - Sheremet, M. A.

PY - 2016/6/2

Y1 - 2016/6/2

N2 - Numerical analysis of laminar natural convection inside a cubical cavity with a local heat source of triangular cross-section has been conducted. The mathematical model formulated in dimensionless variables such as «vector potential functions - vorticity vector» has been solved by the finite difference method of the second order accuracy. The three-dimensional temperature fields, 2D streamlines and isotherms in a wide range of the Rayleigh number from 104 to 106 have been presented illustrating variations of the fluid flow and heat transfer.

AB - Numerical analysis of laminar natural convection inside a cubical cavity with a local heat source of triangular cross-section has been conducted. The mathematical model formulated in dimensionless variables such as «vector potential functions - vorticity vector» has been solved by the finite difference method of the second order accuracy. The three-dimensional temperature fields, 2D streamlines and isotherms in a wide range of the Rayleigh number from 104 to 106 have been presented illustrating variations of the fluid flow and heat transfer.

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U2 - 10.1088/1757-899X/124/1/012057

DO - 10.1088/1757-899X/124/1/012057

M3 - Conference article

AN - SCOPUS:84975759901

VL - 124

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

IS - 1

M1 - 012057

ER -