natural convection heat transfer from a vertical heated plate in a saturated porous medium is analyzed under thermal non-equilibrium assumptions. the plate is maintained at a non uniform temperature and the fluid is considered to be with internal heat generation. the coupled momentum and energy equations for fluid and solid phases are transformed to a similarity format, and solved numerically. ...

in this study, liquid-liquid extraction process in a kuhni extraction column was modeled and simulated. a non-equilibrium dynamic model was developed for modeling liquid-liquid extraction processes based on a rate-based model. the model equations are inclusive of partial and ordinary differential equations which were discretized in column height direction. the population balance model was used ...

Learning problems in which an adversary can perturb instances at application time can be modeled as games with datadependent cost functions. In an equilibrium point, the learner’s model parameters are the optimal reaction to the data generator’s perturbation, and vice versa. Finding an equilibrium point requires the solution of a difficult optimization problem for which both, the learner’s mode...

This paper presents a study on the performance of the Hopfield neural network algorithm for the graph path search problem. Specifically, performance of the Hopfield network is studied from the dynamic systems stability perspective. Simulations of the time behavior of the neural network is augmented with exhaustive stability analysis of the equilibrium points of the network dynamics. The goal is...

We investigate the global stability character of the equilibrium points and the period-two solutions of yn+1 = (pyn + yn−1)/(r + qyn + yn−1), n = 0,1, . . . , with positive parameters and nonnegative initial conditions. We show that every solution of the equation in the title converges to either the zero equilibrium, the positive equilibrium, or the period-two solution, for all values of parame...

Using the ARGUS detector at the e+e storage ring DORIS II, we have measured the Michel parameters , , and for ! l  decays in -pair events produced at center of mass energies in the region of the resonances. Using ! as spin analyzing tags, we nd e = 0:68 0:04 0:08, e = 1:12 0:20 0:09, e = 0:57 0:14 0:07, = 0:69 0:06 0:08, = 1:25 0:27 0:14 and = 0:72 0:18 0:10. In addition, we report the combine...

In the presence of nuisance parameters, we derive an explicit higher order asymptotic formula to compare the expected lengths of conndence intervals given by likelihood ratio statistics arising from the usual proole likelihood and various adjustments thereof. Highest posterior density regions, with approximate frequentist validity, are also included in the study.

Surfactant-dye interactions are very important in chemical and dyeing processes. The dyes interact strongly with surfactant and show new spectrophotometric properties, so the UV-vis absorption spectrophotometric method has been used to study this process and extract some thermodynamic parameters. In this work, the association equilibrium between ionic dyes and ionic surfactant were studied by a...

Vapor-liquid equilibrium in NH3-CO2-H2O system at high pressures has been studied. The UNIQUAC-NRF model for this system was extended by using the Goppert 4 maurer reported datas. Since the system contains molecules and ionic species the binary interaction parameters considered, where those are of molecule-molecule, molecule-ion and ion-ion types. These interaction parameters are taken as c...