### Abstract

Numerical predictions of pressure effects on natural convective heat transfer characteristics for a non-Boussinesq fluid in a rectangular enclosure are presented. The solution method is developed based on a compressible flow model and is employed to simultaneously determine the absolute pressure, density, temperature, and velocity distributions in the enclosure. Discretization equations are derived from the integral mass, momentum, and energy equations on a staggered grid. The fluid pressure in the enclosure is varied from 20 to 300 kPa such that the flow behavior in a vacuum or pressurized system can be observed. Physical situations investigated also include cases in a wide range of wall temperature difference associated with various length scales, corresponding to an equivalent modified Rayleigh number ranging from 10^{4} to 10^{6}. The validity of the incompressible flow model coupled with the Boussinesq approximation for the fluid density, which is commonly used in the existing studies of the buoyant flows, is discussed.

Original language | English |
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Pages (from-to) | 223-230 |

Number of pages | 8 |

Journal | American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD |

Volume | 369 |

Issue number | 1 |

Publication status | Published - 2001 |

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### All Science Journal Classification (ASJC) codes

- Mechanical Engineering
- Fluid Flow and Transfer Processes

### Cite this

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**Pressure effects on the buoyancy-induced convective heat transfer for non-Boussinesq fluid in a rectangular enclosure.** / Hung, Kuo Shu; Cheng, Chin-Hsiang.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Pressure effects on the buoyancy-induced convective heat transfer for non-Boussinesq fluid in a rectangular enclosure

AU - Hung, Kuo Shu

AU - Cheng, Chin-Hsiang

PY - 2001

Y1 - 2001

N2 - Numerical predictions of pressure effects on natural convective heat transfer characteristics for a non-Boussinesq fluid in a rectangular enclosure are presented. The solution method is developed based on a compressible flow model and is employed to simultaneously determine the absolute pressure, density, temperature, and velocity distributions in the enclosure. Discretization equations are derived from the integral mass, momentum, and energy equations on a staggered grid. The fluid pressure in the enclosure is varied from 20 to 300 kPa such that the flow behavior in a vacuum or pressurized system can be observed. Physical situations investigated also include cases in a wide range of wall temperature difference associated with various length scales, corresponding to an equivalent modified Rayleigh number ranging from 104 to 106. The validity of the incompressible flow model coupled with the Boussinesq approximation for the fluid density, which is commonly used in the existing studies of the buoyant flows, is discussed.

AB - Numerical predictions of pressure effects on natural convective heat transfer characteristics for a non-Boussinesq fluid in a rectangular enclosure are presented. The solution method is developed based on a compressible flow model and is employed to simultaneously determine the absolute pressure, density, temperature, and velocity distributions in the enclosure. Discretization equations are derived from the integral mass, momentum, and energy equations on a staggered grid. The fluid pressure in the enclosure is varied from 20 to 300 kPa such that the flow behavior in a vacuum or pressurized system can be observed. Physical situations investigated also include cases in a wide range of wall temperature difference associated with various length scales, corresponding to an equivalent modified Rayleigh number ranging from 104 to 106. The validity of the incompressible flow model coupled with the Boussinesq approximation for the fluid density, which is commonly used in the existing studies of the buoyant flows, is discussed.

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M3 - Article

VL - 369

SP - 223

EP - 230

JO - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

JF - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

SN - 0272-5673

IS - 1

ER -