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New approaches to numerical modelling of droplet transient heating and evaporation

机译：液滴瞬态加热和蒸发数值模拟的新方法

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摘要

New approaches to numerical modelling of droplet heating and evaporation by convection and radiation from the surrounding hot gas are suggested. The finite thermal conductivity of droplets and recirculation in them are taken into account. These approaches are based on the incorporation of new analytical solutions of the heat conduction equation inside the droplets (constant or almost constant h) or replacement of the numerical solution of this equation by the numerical solution of the integral equation (arbitrary h). It is shown that the solution based on the assumption of constant convective heat transfer coefficient is the most computer efficient for implementation into numerical codes. This solution is applied to the first time step, using the initial distribution of temperature inside the droplet. The results of the analytical solution over this time step are used as the initial condition for the second time step etc. This approach is applied to the numerical modelling of fuel droplet heating and evaporation in conditions relevant to diesel engines, but without taking into account the effects of droplet break-up. It is shown to be more effective than the approach based on the numerical solution of the discretised heat conduction equation inside the droplet, and more accurate than the solution based on the parabolic temperature profile model. The relatively small contribution of thermal radiation to droplet heating and evaporation allows us to take it into account using a simplified model, which does not consider the variation of radiation absorption inside droplets.
机译：提出了通过对流和来自周围热气的辐射对液滴加热和蒸发进行数值模拟的新方法。考虑了液滴的有限热导率及其中的再循环。这些方法是基于在液滴内部引入新的热传导方程式的解析解（恒定或几乎恒定的h）或以积分方程的数值解（任意的h）代替该方程的数值解。结果表明，基于对流传热系数恒定的解决方案是计算机实现数字代码效率最高的解决方案。使用液滴内部温度的初始分布，将此解决方案应用于第一时间步骤。该时间步骤的分析解决方案的结果将用作第二时间步骤等的初始条件。该方法适用于与柴油机相关的条件下燃料滴加热和蒸发的数值模拟，但不考虑液滴破裂的影响。它显示出比基于液滴内部离散导热方程数值解的方法更有效，并且比基于抛物线温度分布模型的解决方案更准确。热辐射对液滴加热和蒸发的贡献相对较小，这使我们可以使用简化模型将其考虑在内，该模型不考虑液滴内部辐射吸收的变化。

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