Natural convection in a differentially heated square cavity with internal heat generation

Journal Article · Wed Jan 01 04:00:00 EST 1992 · Numerical Heat Transfer. Part A, Applications; (United States)

DOI:https://doi.org/10.1080/10407789108944873· OSTI ID:5568366

Fusegi, T ^[1]; Hyun, J M ^[2]; Kuwahara, K ^[3]

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1. Inst. of Computational Fluid Dynamics, 1-22-3 Haramachi, Meguro, Tokyo 152 (JP)
2. Dept. of Mechanical Engineering, Korea Advanced Inst. of Science and Technology, Chong Ryang, Seoul 131 (KR)
3. Inst. of Space and Astronautical Science, 3-1-1 Yoshinodai, Sagamihara, Kanagawa 229 (JP)

In this paper, a high-resolution, finite-difference numerical study is reported on natural convection in a square cavity. The vertical sidewalls of the cavity are differentially heated, and a uniform internal heat generation is also presented. Two principal parameters are considered, the internal Rayleigh number Ra{sub 1}, which represents the strength of the internal heat generation, and the external Rayleigh number Ra{sub E}, which denotes the effect due to the differential heating of the sidewalls. The internal Rayleigh number varies in the range 10{sup 9} {le} Ra{sub 1} {le} 10{sup 10}, while the external Rayleigh number is set at Ra{sub E} = 5 {times} 10{sup 7} for most computations. As the relative strength of the internal heat generation increases, the flows near the top portion of the heated sidewall are directed downward. When the effect of the internal heat generation is dominant, the thermal energy leaves the system for the surroundings over the top portion of the heated wall. Only in the bottom part of the heated wall is heat transfer directed into the system. These numerical solutions are in qualitative agreement with the available experimental measurements.

• OSTI ID: 5568366
• Journal Information: Numerical Heat Transfer. Part A, Applications; (United States), Journal Name: Numerical Heat Transfer. Part A, Applications; (United States) Vol. 21:2; ISSN 1040-7782; ISSN NHAAE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CAVITIES
CONVECTION
DESIGN
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
NATURAL CONVECTION
NUMERICAL SOLUTION
PARAMETRIC ANALYSIS
PHYSICAL PROPERTIES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
WALLS