Natural convective cooling of a horizontal heat conducting plate facing up in an otherwise adiabatic cavity

✍ Scribed by E. Luna; C. Treviño

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 783 KB
• Volume: 41
• Category: Article
• ISSN: 0017-9310
• DOI: 10.1016/s0017-9310(97)00282-2

✦ Synopsis

The transient conjugate cooling of a thin horizontal plate enclosed in an adiabatic cavity is studied using asymptotic and numerical techniques. The upper surface of the plate is in contact with a fluid initially at rl:st. The most important parameter to be obtained is the nondimensional cooling time, which depends on the aspect ratio of the plate E, the nondimensional longitudinal heat conductance of the plate a and the Prandtl number of the fluid Pr, for large values of the Rayleigh number of the laminar natural boundary layer flow induced by the density changes. Both the thermally thin (d( i> E') and thick wall regimes (x -E*) are considered in this paper. A minimum nondimensional cooling time is achieved for a thin plate (E + 0) for values of the nondimensional longitudinal thermal conductance of the plate c(, such as e* << G( << 1.