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• W2093266244 abstract "The problem of transient heating of a semitransparent spherical body immersed in a stationary hot gas is investigated, taking into account the effect of thermal radiation. The size of the domain occupied by the gas is assumed to be finite, and the outer boundary of this domain is kept at constant temperature. The initial radial distribution of temperature in the body is taken into account. A modification of Newton's law for body heating is introduced via a correction to either the gas temperature or convection heat transfer coefficient. Explicit expressions for these corrections are obtained for the case of homogeneous initial distribution of temperature and radiation absorption inside the body, and constant radiation temperature. For large Fourier numbers Fo, the correction to gas temperature is expected to be of limited practical importance, as both this correction and the difference between the initial gas temperature and the body surface temperature approach zero (heat transferred from gas to the body becomes negligible). The results are analysed using values of parameters relevant to diesel engines. The values of the corrections to the convection heat transfer coefficient vary from about 0.1 (large domain occupied by gas and Fo=500) to 2.8 at Fo=0.1. This means that ignoring these corrections is expected to lead to unacceptably large errors in computations. The total time for body heating is shown to be more than an order of magnitude longer when compared to the heating of this body in a perfectly stirred gas. The effect of thermal radiation on droplet heating is accounted for via the additional corrections of gas temperature or the convection heat transfer coefficient. It is shown that the effects of radiation on the surface heat flux are small for small Fo, but become dominant for large Fo (Fo>50)." @default.
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• W2093266244 date "2007-05-01" @default.
• W2093266244 modified "2023-10-14" @default.
• W2093266244 title "Transient heating of a semitransparent spherical body" @default.
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• W2093266244 doi "https://doi.org/10.1016/j.ijthermalsci.2006.07.007" @default.
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