Authors: Frank A. Coutelieris
Abstract: The steady state heat transfer that takes place in a hydrogen-fed tubular Solid Oxide Fuel Cell is considered here. The heat is produced due to the electrochemical reaction of the hydrogen that feds the cell with oxygen anions. An averaging technique is used to formulate a relatively simple one-dimensional heat transfer problem. The conduction-convection equation describing the heat transfer from the electrolyte’s surface to the moving gas that surrounds the cell’s cathode is solved analytically under the assumption of iso-thermal conditions. Three different cases are considered for the flow of the cathode gas: (a) plug flow, (b) fully developed incompressible laminar flow, and (c) compressible flow. Analytical expressions for the spatial distribution of gas and cell temperature along the cell's length are obtained. For constant mass flow rate, different flow regimes produce almost the similar spatial distributions for the gas temperature and, consequently, the consideration of the flow regime is of low importance in the design of fuel cell stacks.
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Authors: I. Tsikis, Frank A. Coutelieris
Abstract: This work presents a mathematical model to support the electrical energy production in a specific area by using Renewable Energy Sources (RES). More precisely, three RES types (namely, wind, solar and hydropower) are considered while biomass is used to satisfy thermal demands. The actual goal of the model is to generate one or more scenarios for the efficient production of electrical energy for a specific area by selecting the most suitable RES in terms of energy efficiency and cost effectiveness. More specifically the decision criteria are the minimization of installation and operational costs produced for each scenario and the maximization of the electrical energy produced by the specific power plant. Finally, feasibility analyses for selected case studies as well as an evaluation against similar best practices are also carried out for each scenario proposed.
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Authors: E. Vakouftsi, C. Athanasiou, G. Marnellos, Frank A. Coutelieris
Abstract: It is a common point for the current fuel cell research to correlate the composition of the feedstream to the output of a Solid Oxide Fuel Cell (SOFC). In this direction, the detailed steady-state transport processes (i.e. the flow regime, the heat transfer, the mass and the charge transport) are mathematically described here. A new mesoscopic mathematical model has been developed through the relative differential equations along with the appropriate boundary conditions, which have been numerically integrated by using the commercially available software CFD-ACE+, in order to calculate the electricity produced by the fuel cell. It is found that the produced current density increases with CH4 percentage in the feeding mixture.
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Authors: Frank A. Coutelieris
Abstract: A mathematical model for the simulation of the transport phenomena occurred in the
anode of a typical fuel cell is presented here. The model initially considers a simple onedimensional
geometry where the mass transport equation is combined with a Tafel-type description
for the current density. By assuming isothermal conditions, the numerical solution of the differential
equations was achieved with the use of a non-linear shooting scheme in conjunction with the
multidimensional Newton algorithm. The space was discretized through a constant-step mesh while
the resulting nonlinear system of ordinary differential equations was solved by using the 4th order
Runge-Kutta method. The whole algorithm was implemented by developing a new FORTRAN
code. In addition, a planar two-dimensional geometry is also considered, where the mass transport is
described by the convection-diffusion equation within the catalyst layer together with the Navier-
Stokes equation for laminar flow conditions and the electrochemical effects, while the convective
heat transfer within the developed diffusion layer is also taken into account. This approach has been
numerically implemented and solved by using the finite volume method being applicable through
the CFD-RC© commercial package. For the sake of simplicity, the feedstream of the fuel cell was
assumed to be a hydrogen-rich mixture (H2 >90%) for all cases. Both SOFC and PEM type fuel
cells were considered in this study, while the results are presented in terms of fuel concentration,
produced current density and overpotential.
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Authors: E. Vakouftsi, G. Marnellos, C. Athanasiou, Frank A. Coutelieris
Abstract: In the present work, a three dimensional model examining the fluid flow along with the
fundamental transport phenomena occurring in a typical polymer electrolyte fuel cell (PEMFC), i.e.
heat transfer, mass transport and charge transfer, has been developed. The flow field was simulated
according to the well known Navier-Stokes equations, while the heat transfer was described by the
typical conduction/convection equation and the mass transport by the convection/diffusion one.
Furthermore, reaction kinetics were studied by the Butler-Volmer equation for the heterogeneous
reactions occurring at the porous electrodes. The developed model was numerically solved by using
the commercially available CFD package CFD-RC©, which is based on the multi-step finite volume
method. The fuel cell performance in terms of velocity, temperature, mass fractions of active
compounds and electric field has been investigated as well.
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Authors: Frank A. Coutelieris
Abstract: Droplets transport in homogeneous porous media has been found to be an attractive
problem applicable in a lot of industrial and scientific sectors such as enhanced oil recovery, food
production, plastics etc. As applications become wider, a predictive method for the process is
warranted. To this end, it has been widely accepted that the collection of γ-order moments, Sγ, can
describe the time evolution of any spatially averaged quantity like the mean diameter of spherical
droplets, while it has been also found that Sγ satisfies the transport equations [1]. Here, the so-called
“Sγ concept” is applied in a CFD module for the modeling of the transport processes occurring in a
mixture of a continuous aqueous phase which includes a discontinuous one in the form of droplets.
This mixture flows within a homogeneous porous medium under creeping or laminar flow
conditions. The momentums of the particle size distribution are evaluated using the local flow
conditions as obtained from CFD simulations for the processes considered. To solve the transport
equations, the microstructure droplets formation/destruction has been also taken into account by
using already known analytical expressions for the source terms representing the break up and
coalescence of the droplets [2-4]. The proposed constitutive model adequately simulates the effect
of porous geometry on the droplets size distribution and could be helpful in understanding the
phenomena that take place in microscopic scale.
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