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Optimum operation management of fuel cells is vital for maximum pro ts in this energy system in nancial and energy use terms The products to deal with are water, air, and heat, which are closely related to fuel cells in three aspects: (1) as a by-product of chemical reactions, (2) in the cooling circulation uid, and (3) for heat recovery The FC heat affects especially the speed of electrochemical reactions because it eases hydrogen extraction from hydrocarbonates and increases the overall ef ciency of the fuel cell by means of heat recycling for both ambient and water heat and/or for heating boilers used as primary energy sources for turbine drivers of electrical generators and for hot water storage As the heat is produced locally, the FC generating units may have increased their overall ef ciency through the use of internally produced electricity and heat.

The vapor-phase molar density may be calculated from the ideal gas law. The liquid-phase heat transfer coefficient may be estimated using a correlation provided by Modine et al. (1963). The numerical value used in this example is hL = 2063 W/m 2 K The pure component vapor-phase heat capacities have been estimated at the bulk vapor temperature as Cvpl = 75.13 Cvp2 = 85.98 C^ = 29.15 J/kmol K

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Local production of energy decreases the transportation and distribution losses and alleviates the public network differently from what happens in concentrated power plants, usually located at very long distances from consumers [3,5] The water resulting from chemical reactions in fuel cells has to be removed only partially since its presence increases the conductivity of the electrolyte Conversely, if there is too much water in the electrodes bonding the electrolyte, pore ooding will cause dif culties for fuel permeation, and as a result, the concentration losses might be higher A good relative humidity should be maintained between 85 and 100% for a reasonable operating balance In some small fuel cells the air going through the cell may be the same for both oxygen reactions and moisture balance (stoichiometric feeding is usually at a rate higher than 2).

(5.41)

For larger cells there are usually two independent air supplies, and the moisture may have to be complemented by an external vapor source Use of these quantities may be expressed as [3] air rate 3:6 10 7 l H2 rate 1:05 10 7 H2 O production rate 1:33 10 4 Pfc Vfc Pfc Vfc kg=s kg=s kg=s 7:4 7:5 7:6.

If array contains only one row or column, the corresponding row_num or column_num argument is optional.

The role of the orbit control subsystem is to reduce the amplitude of this undesired movement. Small thrusters are fired at appropriate points in the orbit to provide the required corrective velocity increments. Early systems used monopropellant thrusters in which hydrazine was decomposed at about 1 300 K in a catalyst bed in the rocket chamber. More recently, other propulsion systems have been developed, to either supplement or replace the basic hydrazine system. Examples of the latter are electrically augmented hydrazine thrusters in which the hydrazine is electrically heated (up to 2 500 K or above) after decomposition to increase its enthalpy, and ion engines in which a gas (mercury or zenon) is ionized and then accelerated in an electric field. Both of these have been designed to increase the fuel usage efficiency (specific impulse) during the North-South manoeuvres. The most common replacement for hydrazine monopropellant reaction control systems is a bipropellant (fuel/oxidizer) system. This type of propulsion system is not only more fuel-efficient than the monopropellant type, but can also be integrated with a liquid apogee motor (see 6.2.7). Whichever system is used, the thrusters provide attitude control as well as orbit control.

Protons are transferred to the catalytic layer of the cathode through the electrolyte (a solid membrane for a PEM fuel cell). On the other side of the cell, the oxidizer ows through the channels of the plate and spreads itself through the electrode until it reaches the catalytic cathode layer. The oxidizer used in this model may be air or pure O2. The oxygen is consumed by reacting with the H2 protons and electrons, and water is produced with some residual heat on the surface of the catalytic particles. The electrochemical reaction in the cathode is 2H 2e 1 O2 ! H2 O heat 2 7:2

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In order to better understand the relationship between the dollar and the CRB Index, it is necessary to appreciate the important role the gold market plays. This is true for

+ ( 0.2278) )

for suitable deterministic time functions , , , and , then the model has an af ne term structure.1 Consequently, A and B in (10.28), and thus and in (10.29), de1

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