ISSN Online: 2377-424X
ISBN Print: 978-1-56700-474-8
ISBN Online: 978-1-56700-473-1
International Heat Transfer Conference 16
PERTURBATION ANALYSIS OF A STRONGLY VAPORIZING ROTATING PARTICLE IN A LINEAR TEMPERATURE FIELD
Abstract
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.