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58 Chapter 5 Results and discussion 5.2.2 Measurement of effectiveness In order to see what effect experimental errors have on the measured effectiveness, the manner in which this effectiveness is calculated is outlined here. Apparatus for temperature and flow rate measurement has been described earlier along with the apparatus set-up and method used to test for heat transfer effectiveness of a single matrix heat exchanger, in chapter four. Thermocouple locations and gas flow paths are shown in Figure 5.5. The effectiveness is calculated from the boil-off of liquid nitrogen as (5.1) where vN2 is the volume flow rate of the boil-off from the LN2 bath, ill MHE is the mass flow rate in the heat exchangers and Th,i etc. refer to the temperatures of the fluid in the heat exchanger. The effectiveness is also calculated from temperature differences as or T -T .e - h,i h,o temp T .-T . h,l C,l T -T. B-C,O C,I temp T .-T . h,1 C,I (5.2) (5.3) In addition to the boil-off induced by the ineffectiveness of the heat exchanger, there is some boil-off from the inner liquid nitrogen bath due to heat leak from the surroundings. This is measured at the end of each test run since it varies depending on the liquid level in the inner and outer baths. It is measured by turning the flow through the liquid nitrogen heat exchanger (LN2-HX) off, ie. the total gas flow passes through the bypass valve. A typical graph of nitrogen boil-off versus time after the flow has been turned off is shown in Figure 5.3. For each test data point this value is subtracted from the measured boil-off. Since it is used to zero the boil-off rate it is referred to as the zero- rate. The density of the gaseous nitrogen boil-off is calculated knowing the ambient pressure and flowmeter temperature. The enthalpy of vaporisation of nitrogen is adjusted for ambient pressure using a second order polynomial fitted for data listed in the IUPAC, Chemical Data Series on nitrogen[102]. The nominal flow rate of gaseous nitrogen in the MHE's is distinguished from the actual flow rate only by a correction to account for variation of ambient pressure and flowmeter temperature. For these tests the maximum difference between nominal and actual flow rate was 3.7% (12°C,I025mbar). All plotted values are calculated using the actual flow rate.PDF Image | CO2 removal from air for alkaline fuel cells operating with liquid H2
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