Abstract: In order to develop a predictive model of real cell performance, firm relationships and assumptions need to be established for the definition of the physical and microstructure parameters for solid oxide fuel cells (SOFCs). ...

Abstract: The classical theory of small amplitude shallow water waves is applied to regular polygonal basins. The natural frequencies of the basins are related to the eigenvalues of the Helmholtz equation. Exact solutions are presented ...

Abstract: The fully developed forced convection with H1 and/or H2 conditions in a semi-elliptic duct is studied. Such ducts model conduits attached to a flat surface and etched microfluidic channels. Due to differences in materials, ...

Abstract: 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 ...

Abstract: The Falkner–Skan flow over a wedge is classic in boundary layer theory. We consider the heat or mass transfer from a source at the vertex of the wedge. The interactions of the thermal boundary layer and momentum boundary ...

Abstract: 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 ...

Abstract: Fluid flow in saturated porous media imbedded with a solid inclusion may be described by the Darcy–Brinkman equation. When the Darcy number is small, a boundary-layer theory, similar to Prandtl's theory for viscous flow, ...

Abstract: The uniform flow over a biaxial stretching surface is studied by similarity transform of the Navier–Stokes equations and an efficient numerical integration of the resulting ordinary differential equations. The uniform ...

Abstract: The exact series solutions for the laminar flow in a semielliptic duct are presented. The present work studies the semielliptic duct with the minor axis as the straight wall, which complements that of Alassar and Abushoshah ...

Abstract: Exact series solutions, some in closedform, for starting flow and oscillatory flow in an equilateral triangular duct are presented. The complete set of eigenvalues and eigenfunctions of the Helmholtz equation is derived, ...