Group

Research

Teaching

Activity

Evironmental flows

 

I. Solutions for extended Stokes’ problems

 

Various solutions are presented for pure shear, transient flows, as an extension of the classic Stokes' pronlems. 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 http://tang.ccny.cuny.edu/Analytical_temp_solu