The non-orthogonal boundary-fitted coordinate transformation method is applied to the solution of steady three-dimensional momentum and energy equations in laminar flow to obtain temperature field and Nusselt numbers in the thermal entry region of straight ducts of different cross sectional geometries. The conservation equations originally written in Cartesian coordinates are parabolized in the...

This paper addresses the combined effects of couple stresses, thermal radiation, viscous dissipation and slip condition on a free convective flow of a couple stress fluid induced by a vertical stretching sheet. The Cogley- Vincenti-Gilles equilibrium model is employed to include the effects of thermal radiation in the study. The governing boundary layer equations are transformed into a system o...

The supercritical short-wave oscillatory bifurcation is studied in finite systems using the amplitude ~Ginzburg-Landau! equation. Numerical simulations show that a zero-flux boundary stabilizes sources of target patterns. As a result, stable sources attached to the boundary can exist at small overcriticality, under the condition of convective instability of the homogeneous steady state. Oscilla...