稳态层流射流冲击旋转热板的热流体力学：从头算标度视角
On the Thermofluidics of a Steady Laminar Jet Impacting on a Rotating Hot Plate: An ab-initio Scaling Perspective
AI总结：
本研究通过从头算标度分析，揭示了冲击旋转热板的稳态层流射流的液膜厚度与努塞尔数的标度规律，明确蒸发效应的影响机制，所得标度律与现有实验数据趋势一致。
摘要：
我们对冲击旋转加热板的稳态层流射流的液膜厚度与努塞尔数（Nusselt number）开展了从头算标度分析。探究了包含液-汽界面蒸发效应的极限标度区间。通过在柱坐标系下对连续性方程、纳维-斯托克斯（Navier-Stokes）方程和能量方程的积分与微分形式进行标度分析，揭示了液膜厚度和努塞尔数对雷诺数（Reynolds）、罗斯比数（Rossby）和普朗特数（Prandtl）的依赖关系。利用边界层分析发现了一个临界长度，该长度在理解蒸发对流体动力边界层厚度、热边界层厚度以及进而对努塞尔数的影响中起到关键作用。在超过某一临界半径后，蒸发对液膜厚度的影响变得愈发重要。推导得到的标度律与文献中已有的实验数据进行了对比，预测的趋势具有一致性。
英文摘要：
We provide an ab-initio scaling analysis for liquid film thickness and Nusselt number of a steady laminar jet impacting a rotating heated plate. The limiting scaling regimes incorporating the evaporative effects along the liquid-vapor interface have been probed. The dependence of liquid film thickness and Nusselt number on Reynolds, Rossby, and Prandtl number have been unearthed using scaling analysis of the integral and differential form of the continuity, Navier-Stokes and energy equation in a cylindrical coordinate system. Boundary layer analysis has been used to discover a critical length that plays a significant role in understanding the effect of evaporation on hydrodynamic, thermal boundary layer thicknesses, and subsequently Nusselt number. The evaporative effects on liquid film thickness become increasingly important after a certain critical radius. The scaling laws derived were compared with existing experimental data available in the literature, and the trends predicted were consistent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
