On handling non-homogeneous corner data in confined steady Stokes flow

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2042, 2004, Pages 479-485

  Shankar, P N ^a  

^a SURFACE ENGINEERING DIVISION   (India)

Author keywords

Eigenfunction expansions; Non homogeneous corner data; Stokes flow

Indexed keywords

ARTICLE; CONTAINER; FLOW RATE; GEOMETRY; METHODOLOGY; STEADY STATE; THERMODYNAMICS;

EID: 1542722238     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1209     Document Type: Article

References (10)

1. Imai, I. 1973 Ryutai Rikigaku, vol. 1. Tokyo: Syokabo. (In Japanese.)
2. Moffatt, H. K. 1964 Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 1-18.
3. Shankar, P. N. 1993 The eddy structure in Stokes flow in a cavity. J. Fluid Mech. 250, 371-383.
4. Shankar, P. N. 1997 Three-dimensional eddy structure in a cylindrical container. J. Fluid Mech. 342, 97-118.
5. Shankar, P. N. 2002a Eigenfunctions for Stokes flow in a cylinder driven by data on the cylindrical side wall. NAL project document PD CF 0205.
6. Shankar, P. N. 2002b On handling non-homogeneous corner data in confined Stokes flow. NAL project document PD CF 0206.
7. Shankar, P. N., Meleshko, V. V. & Nikiforovich, E. I. 2002 Slow mixed convection in rectangular containers. J. Fluid Mech. 471, 203-217.
8. Srinivasan, R. 1995 Accurate solutions for steady plane flow in the driven cavity. Z. Angew. Math. Phys. 46, 524-545.
9. Tran-Cong, T. & Blake, J. R. 1982 General solution of the Stokes' flow equations. J. Math. Analysis Applic. 90, 72-84.
10. Yu, K. M. & Nansteel, M. W. 1990 Buoyancy-induced Stokes flow in a wedge-shaped enclosure. J. Fluid Mech. 221, 437-451.