Thermal instability of a fluid layer induced by radiation

Journal Article · Mon Jan 01 00:00:00 EST 1990 · Numerical Heat Transfer. Part A, Applications; (United States)

DOI:https://doi.org/10.1080/10407789008944748· OSTI ID:5091991

Yang, W M ^[1]

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1. Dept. of Mechanical Engineering, National Chiao Tung Univ., HsinchU 30049 (TW)

In this paper the thermal instability of a fluid layer above a solid boundary induced by incident radiative heat to the upper free surface is studied numerically. Eddington approximation is adopted for the equation of transfer, and the pseudospectral method is used to solve the linearized perturbed equations. The effects of Planck number, optical thickness, Biot number, emissivity of the lower plate, and transmissivity of the upper surface on the transition are analyzed for gray and nonscattering fluids. In general, decreasing the temperature difference between the lower plate and the upper surface by increasing the Planck number and the optical thickness, and by decreasing the emissivity and the transmissivity at fixed Biot number, delays the onset of instability. Biot number plays a unique role for nonradiating fluids, and dual roles for radiating fluids on the occurrence of instability.

• OSTI ID: 5091991
• Journal Information: Numerical Heat Transfer. Part A, Applications; (United States), Vol. 17:3; ISSN 1040-7782
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FLUIDS
RADIATION EFFECTS
MATERIALS
THERMODYNAMICS
PLANCK RADIATION FORMULA
EDDINGTON THEORY
RADIATIVE COOLING
THICKNESS
TRANSITION HEAT
COOLING
DIMENSIONS
ENTHALPY
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
420400* - Engineering- Heat Transfer & Fluid Flow
654001 - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments