新年新气象！卢老师和学生的最新论文《Mathematical Modeling of Stokes Flow in Petal Shaped Pipes》被流体力学顶级期刊Physics of Fluids接受发表并被编辑部推选为Featured Article。
论文详细信息如下：
Mathematical Modeling of Stokes Flow in Petal Shaped Pipes
Zhimin Xu (徐志敏)1,2,3, Siyuan Song (宋思远)4, Fengxian Xin (辛锋先)1,3,* and
Tian Jian Lu (卢天健)1,2*
1State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, P.R. China
2State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China
3MOE Key Laboratory for Multifunctional Materials and Structures, Xi’an Jiaotong University, Xi’an 710049, P.R. China
4School of Engineering, Brown University, Providence, RI 02912, USA
Abstract: A theoretical model is developed to characterize fully developed laminar flow (Stokes flow) in idealized petal shaped pipes by regarding the pipe wall as a circular boundary having sinusoidal perturbation (or, equivalently, surface roughness). Built upon the method of perturbation, the model quantifies the effects of relative roughness and wave number of the pipe boundary on the Stokes flow. Approximate solutions of velocity field, pressure gradient and static flow resistivity are obtained. The same approach together with the method of Fourier transform are used to deal with low Reynolds flow in pipes having other cross-sectional morphologies such as triangle and square. Results obtained from direct numerical (CFD) simulations are used to validate the theoretical model predictions, with good agreement achieved. The presence of surface roughness causes periodic fluctuation and global offset of velocity distribution and enlarges both the pressure gradient and static flow resistivity in petal shaped pipes.
