Matrix Formalism for Complex Heat Exchangers

1984 ◽  
Vol 106 (2) ◽  
pp. 352-360 ◽  
Author(s):  
A. Pignotti

The matrix formalism introduced by Domingos for the calculation of the effectiveness of assemblies of heat exchangers is extended to the case of complex exchangers, for which the restriction of complete mixing for each fluid in the inlet and outlet streams is relaxed. Rectangular matrices are used to relate the inlet and outlet temperatures, and their properties are discussed. The method can be used to find explicit solutions for configurations of practical interest, which are analyzed as assemblies of simpler units, coupled together in various ways. The formalism is illustrated by a model calculation of a 1–2 shell-and-tube exchanger with a finite number of baffles, for TEMA E (normal flow) and TEMA J (divided flow) types of shells.

1988 ◽  
Vol 110 (2) ◽  
pp. 297-303 ◽  
Author(s):  
A. Pignotti

The matrix formalism used for the thermal description of heat exchangers is extended to include streams with variable temperature distributions. In this approach, a heat exchanger is described by a temperature-independent matrix operator, which, acting on the inlet temperature distributions, generates the outlet ones. This formalism is particularly useful for the evaluation of the thermal effectiveness of complex heat exchanger configurations that can be broken into simple constitutive parts, linked to each other by unmixed streams. Applications to crossflow configurations of practical interest are shown.


Author(s):  
Patrick Avran ◽  
Alain Leclair ◽  
A. Soudarev ◽  
Boris Soudarev ◽  
Vladimir Soudarev

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