Finite-element method analysis of interaction effects for vaporising cylinders arranged in triangular configurations
TL;DR: In this article, the interaction effect between vaporizing cylinders arranged in three different triangular configurations, under quasi-steady nonconvective conditions, was determined by employing the finite element method.
About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 1995-03-01. It has received 1 citations till now. The article focuses on the topics: Cylinder (engine).
Citations
More filters
22 citations
References
More filters
TL;DR: In this article, the quasi-steady (QS) burning rates of interacting spherical fuel droplets are calculated by transforming the equations governing the inter-droplet fields to the Laplace equation and then solving the transformed equations by the method of images.
Abstract: The quasi-steady (QS) burning rates of interacting spherical fuel droplets are calculated by transforming the equations governing the inter-droplet fields to the Laplace equation and then solving the transformed equations by the method of images. The results of this work indicate that QS interactions can significantly reduce the droplet burning rates even for large droplet spacings. Further, the well known D2-law is found to be only approximately correct when applied to interacting droplets.
156 citations
TL;DR: In this paper, the combustion of two interacting droplets of arbitrary size was analyzed by solving Laplace's equation in bispherical coordinates, with the conjecture that multiplication by &(1 + B) converts the diffusion rate in the absence of a flame to the evaporation rate of a burning droplet.
Abstract: The combustion of two interacting droplets of arbitrary size was analyzed by solving Laplace's equation in bispherical coordinates, with the conjecture that multiplication by &(1 + B) converts the diffusion rate in the absence of a flame to the evaporation rate of a burning droplet. Closed-form solutions were obtained both for the burning rate of each droplet and for the shape of the flame. The burning rate of each droplet was found to be smaller than that of an isolated droplet of the same size. The reduction was greatest when the droplets were touching, and was relatively larger for the smaller droplet. Two simple functions, one for the larger droplet and one for the smaller, were found to give good approximations to the burning rate of touching droplets. Free-fall experiments were performed to check the theory. The results available so far have provided qualitative support for the mathematical model in that observed flames of some pairs of burning droplets strongly resemble the calculated flame shape.
85 citations
TL;DR: In this paper, the effects of interaction of two burning identical droplets are investigated using the formulation of Shvab-Zeldovich, one can calculate the burning rate and the form of flame surface in two droplets case.
83 citations
TL;DR: In this article, the transport equations governing the quasi-steady vapor density and temperature fields surrounding rapidly evaporating interacting spherical particles are reduced to the Laplace equation by using suitable variable transformations.
Abstract: The transport equations governing the quasi-steady vapor density and temperature fields surrounding rapidly evaporating interacting spherical particles are reduced to the Laplace equation by using suitable variable transformations. Once reduced to this form, these equations can be solved by the method of images. This method is a fairly general one for solving the Laplace equation and can be applied to particle arrays consisting of an arbitrary number of arbitrarily arranged interacting particles which may differ in size and chemical composition. Interactions are shown to significantly affect particle evaporation rates even at large particle separations. For the arrays considered, however, particle temperatures are found to be unaffected by interactions.
73 citations
TL;DR: In this article, a modified images method is presented and used to determine the vapor density field in arrays of up to nine "quasi-stationary" evaporating particles, and the evaporation rate of each particle in an array is calculated as a function of the particle separation.
61 citations