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ISSN Online: 2377-424X

ISBN Print: 978-1-56700-474-8

ISBN Online: 978-1-56700-473-1

International Heat Transfer Conference 16
August, 10-15, 2018, Beijing, China

PERTURBATION ANALYSIS OF A STRONGLY VAPORIZING ROTATING PARTICLE IN A LINEAR TEMPERATURE FIELD

Get access (open in a dialog) DOI: 10.1615/IHTC16.bae.025156
pages 1259-1267

要約

For many situations of interest, the gasification of solid particles or liquid drops by evaporation or other chemical reaction leads to strong radial fields. As a problem of fundamental interest, we are analyzing the case when such particles rotate slowly while producing gas at a significantly higher rate. In this range of approximation, considerable analytical progress is possible through a perturbation expansion with the rotational Reynolds number being a small parameter. The radial Reynolds number is considered to be O(1). In previous work on this class of problems, solution sets have been developed and the analysis has led to a class of polynomials that that are particularly useful for perturbation analysis of such problems. In the current development, a solution is obtained for the case when the vaporizing particle is rotating in a gaseous medium while in a linear external temperature field where the rotational axis is perpendicular to the linear field. The problem is three-dimensional, and the regular perturbation analysis in the spherical coordinate system has led to analytical expressions for the temperature field.