... (H2) or a mixture of both. This paper presents analytic small aspect ratio asymptotic solutions and tables of Poiseuille and Nusselt numbers for various aspect ratios and boundary conditions. We find our Ritz method is accurate and efficient. In comparison to fully numerical methods (e.g., finite...

...C. Y. Wang The basic problem of steady-state heat conduction in a ring with internal heat generation and convective boundary conditions is considered. An exact solution is found for the ring with a rectangular cross section and an efficient Ritz method is presented for general cross sections...

...C. Y. Wang Using an efficient Ritz method, the thermoconvective stability of a bottom-heated porous layer in vertical elliptic and semi-elliptic enclosures with adiabatic side walls is studied. The stability mosaics for the critical Rayleigh number and the preferred modes are determined for various...