Estimating Number of Shells in Shell and Tube Heat Exchangers: A New Approach Based on Temperature Cross

2000 ◽  
Vol 122 (3) ◽  
pp. 566-571 ◽  
Author(s):  
B. B. Gulyani

Multipass heat exchangers are often designed by using the rule of thumb FT⩾0.75, which is rather arbitrary. FT falls sharply with the increase in temperature cross. Hence, only a limited temperature cross can be allowed. The ability to accommodate temperature cross increases rapidly as the number of shell passes is increased. Though many investigators have emphasized the importance of temperature cross in exchanger design, it has as yet not been explicitly accounted for in the design. This paper introduces a new approach for estimating the number shells in a shell and tube exchanger which directly accounts for temperature cross, rather than routing this effect through FT or XP (Ahmad et al.’s parameter, which is again a correction factor not directly related to temperature cross). The approach is compatible with the established design procedures and bypasses the FT. It generates better designs by defining maximum permissible temperature cross, than the traditional designs based on specifying minimum permissible FT. Expressions have also been provided which correlate the present formulation with that of Ahmad et al. [S0022-1481(00)00803-3]

2003 ◽  
Vol 125 (3) ◽  
pp. 527-530 ◽  
Author(s):  
Ahmad Fakheri

This paper presents a single closed form algebraic equation for the determination of the Log Mean Temperature Difference correction factor F for shell and tube heat exchangers having N shell passes and 2M tube passes per shell. The equation and its graphical presentation generalize the traditional equations and charts used for the determination of F. The equation presented is also useful in design, analysis and optimization of multi shell and tube heat exchanger, particularly for direct determination of the number of shells.


1964 ◽  
Vol 86 (3) ◽  
pp. 408-415 ◽  
Author(s):  
Luis Jaw

Mean temperature difference correction factors are presented in the usual dimensionless groups of P and R for shell and tube heat exchangers where the shell fluid is divided into two streams entering at the center of the shell. Mathematical expressions have been derived for the thermal effectiveness P for both two and four tube passes in terms of UA/wc and wc/WC designated as R. The expressions for the split-flow exchangers with one and with an infinite number of tube passes are also presented. The analysis is further extended so that the correction factor F for split-flow exchangers of four tube passes and an infinite number of tube passes may be used for any even number of tube passes within a practical design range. There is very little difference between correction factors of values above 0.8, for split-flow exchangers with two, four, and infinite number of tube passes, and the conventional 1–2 shell and tube exchanger. An interesting result is noted that for each value of R there is a peak value of P.


2015 ◽  
Vol 789-790 ◽  
pp. 457-461
Author(s):  
Luiz Gustavo Monteiro Guimarães ◽  
Matheus dos Santos Guzella ◽  
Luben Cabezas-Gómez ◽  
Flávio Neves Teixeira

This paper outlines a novel numerical methodology to compute the LMTD correction factor for a shell-and-tube heat exchangers. Although the presented methodology can be extended to other shell-and-tube heat exchangers, the analysis presented is this paper concerns the one shell pass and two tube pass configuration, namely 1-2 shell-and-tube heat exchanger. The correction factor is compute by means of an association of e-NTU and LMTD approaches proposed by Kays and London (1998). An analysis of the convergence of the solution provided by the numerical methodology is confronted against results from an analytical solution available in the literature to compute the LMTD correction factor for infinite number of baffles. Numerical results shows that, as the number of baffles is increased, the numerical solution approaches the analytical solution available in the literature. The presented numerical methodology allows the direct computation of the LMTD correction factor for a determined arrangement, giving a new perspective on the project and sizing of shell-and-tube heat exchangers, since typically the analytical solution is applied for all arrangements.


2015 ◽  
Vol 789-790 ◽  
pp. 426-429 ◽  
Author(s):  
Flávio Neves Teixeira ◽  
Luiz Gustavo Monteiro Guimarães ◽  
Matheus dos Santos Guzella ◽  
Luben Cabezas-Gómez ◽  
José Antônio da Silva

This paper outlines the application of a numerical procedure to compute the LMTD correction factor for one tube pass and one shell pass, namely 1-1, shell-and-tube heat exchangers. Although the procedure was applied for this specific arrangement, it can easily be applied to different heat exchanger arrangements. The numerical methodology is based on an association of ε-NTU and LMTD approaches introduced by Kays and London (1998). Unlike other shell-and-tube heat exchanger arrangements, such as one tube pass and two shell pass, no available analytical expression in closed form is available in the literature. Hence, the presented numerical procedure is applied to determine the LMTD correction factor for 1-1 shell-and-tube heat exchangers and numerical results were obtained by increasing the number of baffles (1, 3, 7, 9, 19 and 49), in order to analyze the obtained results. Finally, charts for the LMTD correction factor is presented as a function of two dimensionless parameters, namely P and R.


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

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