For analyzing shapes of planar, closed curves, we propose a mathematical representation of closed curves using “direction” functions (integrals of the signed curvature functions). Shapes are represented as elements of an infinite-dimensional manifold and their pairwise differences are quantified using the lengths of geodesics connecting them on this manifold. Exploiting the periodic nature of t...

Unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in a porous medium subjected to suction/blowing is investigated. The upper-convected Maxwell fluid model is used to characterize the non-Newtonian fluid behaviour. With the help of similarity transformations, the boundary layer equation corresponding to the momentum equation is transformed to an ordinary one and then sol...

Hierarchical radiosity with clustering has positioned itself as one of the most efficient algorithms for computing global illumination in non-trivial environments. However, using hierarchical radiosity for complex scenes is still problematic due to the necessity of storing a large number of transport coefficients between surfaces in the form of links. In this paper, we eliminate the need for st...

A numerical shooting method for performing linear stability analyses of travelling waves is described and applied to the problem of freely propagating planar premixed flames. Previous linear stability analyses of premixed flames either employ high activation temperature asymptotics or have been performed numerically with finite activation temperature, but either for unit Lewis numbers (which ig...

Magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible, electrically conducting and chemically-reacting fluid adjacent to a vertical stretching sheet embedded in a saturated porous medium in the presence of a thermal radiation effect are investigated. The sheet is linearly stretched with uniform constant of temperature and concentration. The governing partial d...

The peristaltic flow of a Prandtl fluid in an asymmetric channel has been investigated both analytically and numerically. This is the first article describing feature of Prandtl fluid model in peristaltic literature. The governing equations for the proposed Prandtl fluid model are derived in Cartesian coordinates system. Asymmetric channel have been taken into account for the present analysis. ...

This paper studies the Soret and Dufour effects on MHD flow of a Casson fluid past a stretching sheet in the presence of chemical reaction, viscous dissipation and variable thermal conductivity. The fluid is taken to be electrically conducting and the flow is induced by a stretching surface. The governing partial differential equations are transformed into non-linear ordinary differential equat...

The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the ...

Dynamic optimization allows for the determination of the upper bound of achievable performance in the operation of continuous chemical processes in transient operationwhich often results from load or grade changes. Performance assessment can rely on the computation of optimal trajectories for selected scenarios which properly reflect the operational envelope. Realistic industrial problems, howe...

In this paper, we propose a variety of the time-domain shooing method for finding steady state responses of nonlinear circuits in order to implement it on SPICE-like simulators. Furthermore, the proposed method is extended to the design of Class E amplifier. In the numerical examples, the proposed method is demonstrated using the latest version of Berkley SPICE.