I. Solutions for extended Stokes’ problems
Various solutions are presented for pure shear, transient flows, as an extension of the classic Stokes' problems. The following is an example:
Figure 1. Analytical solution for finite-depth water flow driven by an oscillating wall, which is an extended Stokes' 2nd problem. (a), (b), and (c) -- 1 m in depth, 1 1/s in frequency, (d) -- 0.01 m in depth, 0.1 1/s in frequency.
Reference
L. Z. Zhang, H. S. Tang, J. P. -Y. Maa, and G. Q. Chen, Exact solutions and analysis for a class of extended Stokes’ problems. Discontinuity, Nonlinearity, and Complexity, 2(2013), 85–102. (Full Text PDF)
H. S. Tang, L.Z. Zhang, J.P.-Y. Maa, H. Li, C.B. Jiang, and R. Hussain, Fluid driven by tangential velocity and shear stress: mathematical analysis, numerical experiment, and implication to surface flow. Mathematical Problems in Engineering, Volume 2013 (2013), Article ID 353785.
II. Analytical solutions for open-channel temperature response to unsteady thermal discharge and boundary heating
The solutions are presented at: https://www.ccny.cuny.edu/htang/Analytical_temp_solu
Last Updated: 08/07/2026 16:26