### Abstract

Various types of emitters are often used as energy sources in real engineering systems and technological processes. Investigations of heat transfer basic laws in such systems are of interest. We conducted mathematical modelling of conjugate heat transfer in a closed rectangular cavity under conditions of radiant energy source operating. The 2-D problem of conjugate natural convection in vorticity- -stream function-temperature dimensionless variables has been numerically solved by means of the finite difference method. Radiant energy distribution along the gas-wall interfaces was set by Lamberts' cosine law. We obtained fields of temperature and stream functions in a wide range of governing parameters (Rayleigh number 10^{4} ≤ Ra ≤ 10^{6}, the length of radiant heating source 0.15 ≤ D ≤ 0.6). Then we analyzed how heat retaining properties of finite thickness heat conducting walls made of different materials affect the heat transfer intensity. Differential characteristics distribution showed significant non-uniformity and non-stationarity of the conjugate heat transfer process under study.

Original language | English |
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Pages (from-to) | 591-601 |

Number of pages | 11 |

Journal | Thermal Science |

Volume | 22 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

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### Keywords

- Conjugate heat transfer
- Infrared emitter
- Lambert's cosine law
- Mathematical modelling
- Natural convection

### ASJC Scopus subject areas

- Renewable Energy, Sustainability and the Environment

### Cite this

**Modelling of the conjugate natural convection in a closed system with the radiant heating source radiant energy distribution by Lambert's cosine law.** / Kuznetsov, Geniy V.; Nee, Alexander E.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Modelling of the conjugate natural convection in a closed system with the radiant heating source radiant energy distribution by Lambert's cosine law

AU - Kuznetsov, Geniy V.

AU - Nee, Alexander E.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Various types of emitters are often used as energy sources in real engineering systems and technological processes. Investigations of heat transfer basic laws in such systems are of interest. We conducted mathematical modelling of conjugate heat transfer in a closed rectangular cavity under conditions of radiant energy source operating. The 2-D problem of conjugate natural convection in vorticity- -stream function-temperature dimensionless variables has been numerically solved by means of the finite difference method. Radiant energy distribution along the gas-wall interfaces was set by Lamberts' cosine law. We obtained fields of temperature and stream functions in a wide range of governing parameters (Rayleigh number 104 ≤ Ra ≤ 106, the length of radiant heating source 0.15 ≤ D ≤ 0.6). Then we analyzed how heat retaining properties of finite thickness heat conducting walls made of different materials affect the heat transfer intensity. Differential characteristics distribution showed significant non-uniformity and non-stationarity of the conjugate heat transfer process under study.

AB - Various types of emitters are often used as energy sources in real engineering systems and technological processes. Investigations of heat transfer basic laws in such systems are of interest. We conducted mathematical modelling of conjugate heat transfer in a closed rectangular cavity under conditions of radiant energy source operating. The 2-D problem of conjugate natural convection in vorticity- -stream function-temperature dimensionless variables has been numerically solved by means of the finite difference method. Radiant energy distribution along the gas-wall interfaces was set by Lamberts' cosine law. We obtained fields of temperature and stream functions in a wide range of governing parameters (Rayleigh number 104 ≤ Ra ≤ 106, the length of radiant heating source 0.15 ≤ D ≤ 0.6). Then we analyzed how heat retaining properties of finite thickness heat conducting walls made of different materials affect the heat transfer intensity. Differential characteristics distribution showed significant non-uniformity and non-stationarity of the conjugate heat transfer process under study.

KW - Conjugate heat transfer

KW - Infrared emitter

KW - Lambert's cosine law

KW - Mathematical modelling

KW - Natural convection

UR - http://www.scopus.com/inward/record.url?scp=85045347310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045347310&partnerID=8YFLogxK

U2 - 10.2298/TSCI160120256K

DO - 10.2298/TSCI160120256K

M3 - Article

VL - 22

SP - 591

EP - 601

JO - Thermal Science

JF - Thermal Science

SN - 0354-9836

IS - 1

ER -