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Assumptions 4, 5 and 6 were made to simplify the heat conduction modeling, since based on these assumptions it is possible to model the heat conduction as the heat conduction through the planar wall. Since in reality the area for heat transfer is smaller than that for the heat conduction and the conduction length is different for different locations around the channel wall (sometimes shorter than the distance between the hot and cold channels) these assumption are conservative. Chapter 9 addresses the effect of the conduction length on the heat exchanger thermal performance. The heat exchanger performance calculation can start from either the hot or cold end, therefore either hot or cold side operating conditions must be known. The heat exchanger calculation proceeds from the known end to the other one by sequentially evaluating the performance of all nodes. For the case when the calculation proceeds from the hot end to the cold end the performance of the node j will be calculated as follows: 1. The average node temperature and pressure on hot and cold sides will be calculated as the average between the i and i+1 conditions. The temperature and pressure at point i are known from the results of node j-1, at the point i+1 the last iteration results of node j+1 are used. If those are zero (i.e. the first iteration) the average values of pressures and temperatures over node i are used. 2. Fluid properties for the average pressure and temperature are calculated. The code allows the user to specify whether the NIST subroutines or user-supplied interpolation tables will be used. The use of tables significantly increases the overall calculation speed. 3. The hot and cold fluid velocities, heat transfer coefficients and friction factors are calculated based on the fluid properties and the channel mass flow rate. The heat transfer coefficients are calculated based on the methodology described in Section 3.3.1. The overall heat transfer coefficient is calculated from: h=1 h1 + kt + h1 hc (3-39) 55PDF Image | Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors
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