期刊论文

Lin, Ping

英文

应用数学和力学：英文版

0253-4827

2018

39

8

1147-1164

10.1007/s10483-018-2355-6

The authors would like to thank the editors and reviewers for the valuable comments. Citation: GUO, H. X., LIN, P., and LI, L. Asymptotic solutions for the asymmetric flow in a channel with porous retractable walls under a transverse magnetic field. Applied Mathematics and Mechanics (English Edition ), 39 (8), 1147–1164 (2018) https://doi.org/10.1007/s10483-018-2355-6 Project supported by the National Natural Science Foundation of China (Nos. 91430106 and 11771040) and the Fundamental Research Funds for the Central Universities of China (No. 06500073)

本校为其他机构

The self-similarity solutions of the Navier-Stokes equations are constructed for an incompressible laminar flow through a uniformly porous channel with retractable walls under a transverse magnetic field. The flow is driven by the expanding or contracting walls with different permeability. The velocities of the asymmetric flow at the upper and lower walls are different in not only the magnitude but also the direction. The asymptotic solutions are well constructed with the method of boundary layer correction in two cases with large Reynolds numbers, i.e., both walls of the channel are with suct...