In the process of the design of heat exchangers, it is difficult to establish the factors governing the optimal points of the design objective functions due to the contradictions and uncertainties of the design objectives. The variation of fluid properties is one of the main factors causing this type of uncertainty. Conventional design methods have not completely solved these problems. In the present work, based on the logarithmic mean temperature difference, a new heat exchanger design method (called the segmented design method) is proposed which takes into account the variation of fluid properties with respect to the temperature. In this method, the whole heat exchanger is first divided into several segments. Then by applying the principle of the conservation of energy and taking into account the initial conditions as well as the connecting conditions of the adjacent segments, the inlet and outlet temperatures of each segment are determined. Finally, the application of the logarithmic mean temperature difference method on each segment defines the heat transfer area.heat exchanger, thermal design, mean temperature difference
Citation:Song J W, Xu M T, Cheng L. Theoretical analysis of a method for segmented heat exchanger design. Chinese Sci Bull, 2011Bull, , 56: 2179Bull, −2184Bull, , doi: 10.1007 In the process of the design of heat exchangers, it is difficult to determine the set of optimal points for the design objective functions due to the contradictions and uncertainties among the design objectives, which makes it difficult to apply the modern computing technology. The variation of fluid properties with respect to temperature in heat exchangers is one of the main factors causing this situation. For conventional design methods of heat exchangers, such as the logarithmic mean temperature difference (LMTD), efficiency-number transfer unit(ε-NTU), etc., the value of fluid properties is usually supposed to be constant. For fluids which have physical properties that show no significant changes with temperature variation, such as non-saturated water, the physical parameters may be assumed to be constant and to equal their mean value. This treatment can usually satisfy the design requirements. Nevertheless, it is not consistent with the reality of the heat *Corresponding author (email: cheng@sdu.edu.cn) transfer process. In particular, in many engineering applications the fluid properties in heat exchangers experience significant variation with temperature and pressure, such as in the petrochemical industry. In these cases, to make the physical parameters take their mean values gives rise to inaccurate design results. Moreover, in some low temperature heat exchangers, there are relatively large temperature differences between their inlets and outlets, so the variation of fluid properties cannot be ignored [1]. To improve the design of heat exchangers, especially the shell-tube heat exchangers, some new ideas were proposed in [2]. The optimized designs of heat exchangers were investigated in [3,4], but there i...