A 3D analytical model for vortex velocity field based on spiral streamline pattern

作     者：Maryam Azarpira Amir Reza Zarrati 

作者机构：Department of Civil and Environmental Engineering Amirkabir University of Technology 

出 版 物：《Water Science and Engineering》 (水科学与水工程（英文版）)

年 卷 期：2019年第12卷第3期

页      面：244-252页

核心收录：

学科分类：08[工学] 0707[理学-海洋科学] 0815[工学-水利工程] 0813[工学-建筑学] 0824[工学-船舶与海洋工程] 0814[工学-土木工程] 

基　　金：supported by the Iran National Science Foundation(INSF Grant No.97008045) 

主　　题：Air-core vortices Analytical model Velocity distribution Spiral streamlines Free surface profile 

摘      要：Vortices that develop over intakes are a hazardous hydraulic phenomenon.In this study, a 3D model was developed to study the flow field in air-core vortices.This model is based on the spiral pattern of streamlines and the analytical solution of the momentum and continuity equations for deriving the three components of velocity.The model provides equations for free surface profiles and 3D patterns of the streamlines.Moreover, a new relationship was suggested for calculating effective viscosity and its distribution across the vortex flow field.The performance of the proposed analytical model was compared with existing experimental data and the results of previous analytical models.The outcomes indicated that the proposed model could predict characteristics of the vortex flow with good accuracy.