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Transient heating of diesel fuel droplets

机译:柴油液滴的瞬时加热

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摘要

New solutions of the heat conduction equation inside a spherical droplet are obtained. The droplet is assumed to be heated by convection and radiation from the surrounding hot gas-a situation typical in many engineering applications. Initial droplet evaporation and the effects of time dependent gas temperature and convection heat transfer coefficient are taken into account. In the cases of constant, and almost constant convection heat transfer coefficients, the explicit formulae for time dependent radial distribution of temperature inside droplets are obtained. In the case of arbitrary convection heat transfer coefficient, the differential equations are reduced to the Volterra integral equation of the second kind. A numerical scheme for the solution of this equation is suggested. The solution for constant convection heat transfer coefficient is applied to a typical problem of fuel droplet heating in a diesel engine. It is shown that finite thermal conductivity of fuel droplets and the effects of radiation need to be taken into account when modelling droplet heating in diesel engines.
机译:获得了球形液滴内部导热方程的新解。假定液滴是由周围热气体的对流和辐射加热的,这是许多工程应用中的典型情况。考虑了初始液滴蒸发以及随时间变化的气体温度和对流传热系数的影响。在恒定和几乎恒定的对流传热系数的情况下,获得了液滴内部温度随时间的径向分布的显式公式。在任意对流传热系数的情况下,将微分方程简化为第二类的Volterra积分方程。提出了求解该方程的数值方案。对流传热系数恒定的解决方案适用于柴油机中燃料滴加热的典型问题。结果表明,在对柴油机中的油滴加热进行建模时,必须考虑到油滴的有限导热系数和辐射的影响。

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