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Conjugate Natural Convection Heat Transfer Between Two Fluids Separated By A Horizontal Wall: Steady-state Analysis

E. Luna, C. Treviño, F. Higuera
Published 1996 · Physics

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The conjugate heat transfer across a thin horizontal wall separating two fluids at different temperatures is investigated both numerically and asymptotically. The solution for large Rayleigh numbers is shown to depend on two nondimensional parameters;α/ε2, withα being the ratio of the thermal resistance of the boundary layer in the hot medium to the thermal resistance of the wall andε the aspect ratio of the plate, andβ, the ratio of the thermal resistances of the boundary layers in the two media. The overall Nusselt number is an increasing function ofα/ε2 taking a finite maximum value forα/ε2 → ∞ and tending to zero forα/ε2 → 0.ZusammenfassungDer Wärmeaustausch zwischen zwei, durch eine dünne horizontale Wand getrennten Fluiden unterschiedlicher Temperatur wird numerisch und asymptotisch untersucht. Die Lösung für große Rayleigh-Zahlen hängt von zwei dimensionlosen Parametern ab: (1)α/ε2, wobeiα das Verhältnis des thermischen Widerstandes der Grenzschicht im heißeren Medium zu dem der Wand bedeutet undε das Seitenverhältnis der Platte. (2)β, das Verhältnis der thermischen Widerstände der Grenzschichten in den beiden Medien. Die gemittelte Nusselt-Zahl ist eine mitα/ε2 anwachsende Funktion, welche fürα/ε2 → ∞ einem endlichen Maximalwert zustrebt und fürα/ε2 → 0 gegen Null geht.
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