论文标题
在Maxey-Riley运动方程式上及其扩展到高雷诺数
On the Maxey-Riley equation of motion and its extension to high Reynolds numbers
论文作者
论文摘要
粒子对湍流的惯性反应是与各种环境和工程问题相关的问题。最常用于描述力平衡的方程是Maxey-riley方程，其中包括浮力和稳定的阻力，这是与过去粒子加速有关的不稳定的贝塞阻力。在这里，我们提供了有关如何开发Maxey-Riley方程的历史回顾，以及它仅适合雷诺数小于统一的研究。重新审视Basset（1888）采用的创新数学方法，我们引入了一种不稳定阻力的替代公式，以应用于更广泛的粒子运动。虽然贝塞特不稳定的阻力在较高的雷诺数字上可以忽略不计，但修订后的不稳定阻力却没有。
The inertial response of a particle to turbulent flows is a problem of relevance to a wide range of environmental and engineering problems. The equation most often used to describe the force balance is the Maxey-Riley equation, which includes in addition to buoyancy and steady drag forces, an unsteady Basset drag force related to past particle acceleration. Here we provide a historical review of how the Maxey-Riley equation was developed and how it is only suited for studies where the Reynolds number is less than unity. Revisiting the innovative mathematical methods employed by Basset (1888), we introduce an alternative formulation for the unsteady drag for application to a broader range of particle motions. While the Basset unsteady drag is negligible at higher Reynolds numbers, the revised unsteady drag is not.
