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Research Papers: Design and Analysis

Temperature Field Prediction of Rectangular Shell-and-Tube Heat Exchanger

[+] Author and Article Information
C. L. Shao

Jiangsu Key Laboratory of Process Enhancement
and New Energy Equipment Technology,
College of Mechanical and Power Engineering,
Nanjing University of Technology,
30 Puzhu Road, Nanjing,
Jiangsu 211816, China

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received August 10, 2011; final manuscript received December 6, 2012; published online October 10, 2013. Assoc. Editor: William J. Koves.

J. Pressure Vessel Technol 135(6), 061208 (Oct 10, 2013) (9 pages) Paper No: PVT-11-1163; doi: 10.1115/1.4024437 History: Received August 10, 2011; Revised December 06, 2012

Shell-and-tube heat exchangers are the most common type of heat exchangers in oil refineries and other large chemical processes. In this manuscript, we demonstrate that the shell-side flow in a cylindrical shell was not as homogeneous as that in a rectangular shell. According to the periodic flow field and the arrangement of tubes in the rectangular shell, the solid-fluid coupling heat transfer model consisting of a single tube section and the outer and inner fluids was developed to represent the whole heat exchanger. Using this model, the relationship among four temperatures, namely the inlet and outlet temperatures of tube-side fluid and the upstream and downstream temperatures of shell-side fluid, was established. By dividing each tube into several tube sections at the sites of baffles, a method for predicting the temperature field of the rectangular shell-and-tube heat exchanger was proposed. Based on the node temperature correlation, all the node temperatures were obtained by iterative computation using the established relationship between the four temperatures and the operating conditions. It was found that the temperature distribution of the fluid in tube was approximately linear along axial direction, but the temperature of tube showed nonlinear regularity. The axial deformation compatibility condition for the tube bundle and shell was considered when resolving the stresses in tubes. For the model established in this paper, the mean temperature of the tube at lower position was found to be larger than that at higher position; hence the thermal expansion of the tube at the lower end is larger. In the case the tube-side fluid was heated, all tubes were pulled because of the larger axial thermal expansion of shell, and the stress in the tube with higher temperature is smaller because of the smaller strain.

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References

Jin, W. Y., Gao, Z. L., Liang, L. H., Zheng, J. S., and Zhang, K. D., 2004, “Comparison of Two FEA Models for Calculating Stresses in Shell-and-Tube Heat Exchanger,” Int. J. Pressure Vessels Piping, 81, pp. 563–567. [CrossRef]
Yasar, I., 2004, “Finite Element Model for Thermal Analysis of Ceramic Heat Exchanger Tube Under Axial Non-Uniform Convective Heat Transfer Coefficient,” Mater. Des., 25, pp. 479–482. [CrossRef]
Li, Y., Jiang, X. M., Huang, X. Y., Jia, J. G., and Tong, J. H., 2010, “Optimization of High-Pressure Shell-and-Tube Heat Exchanger for Syngas Cooling in an IGCC,” Int. J. Heat Mass Transfer, 53, pp. 4543–4551. [CrossRef]
Li, H. S., and Mei, C., 2005, “Thermal Stress in SiC Element Used in Heat Exchanger,” J. Cent. South Univ. Technol., 12, pp. 709–713. [CrossRef]
Peng, J., Yu, E. L., and Jiang, W., 2007, “Numerical Simulation of a Three-Dimensional Velocity Field Coupled With a Temperature Field for the Heat Exchange Process in a Spirally Grooved Tube,” J. Eng. Therm. Energy Power, 22, pp. 395–398. (in Chinese)
Ender, O., and Ilker, T., 2010, “Shell Side CFD Analysis of a Small Shell-and-Tube Heat Exchanger,” Energy Convers. Manage., 51, pp. 1004–1014. [CrossRef]
Zhang, J. F., He, Y. L., and Tao, W. Q., 2009, “3D Numerical Simulation on Shell-and-Tube Heat Exchangers With Middle-Overlapped Helical Baffles and Continuous Baffles-Part I: Numerical Model and Results of Whole Heat Exchanger With Middle Overlapped Helical Baffles,” Int. J. Heat Mass Transfer, 52, pp. 5371–5380. [CrossRef]
Masters, J. S., 2007, “Optimization and Thermal Stress Analysis of an Yttria-Stabilized Zirconia Heat Exchanger,” Collection of Technical Papers-43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Cincinnati, OH, 4, pp. 3195–3205.
Belyayev, N. M., Zavelion, V. I., and Ryadno, A. A., 1984, “Thermal Stresses in Heat-exchanger Components of Complex Shape,” Heat Transfer-Sov. Res., 16, pp. 126–129.
Picard, F., Averous, D., Joulia, X., and Barreteau, D., 2006, “Modelling and Dynamic Simulation of Thermal Stresses in Brazed Plate-Fin Heat Exchanger,” 16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering, Garmisch-Partenkirchen, Germany, pp. 659–664.
Long, H., Yu, Y. J., and Feng, Z. Q., 2009, “Three-Dimensional Temperature Field Simulation of Ground Heat Exchangers With Groundwater Flow,” Proceedings-6th International Symposium on Heating, Ventilating and Air Conditioning, ISHVAC Nanjing, China, pp. 716–723.
Li, X. Y., Huang, F. L., Qian, S. W., Cen, H. Z., and Wu, Z. Q., 1994, “Analysis of the Temperature and Stress Fields in Multiple-Pass Heat Exchanger Allotype Tubesheet,” Int. J. Pressure Vessels Piping, 270, pp. 105–111.
Bielski, S., and Malinowski, L., 2005, “An Analytical Method for Determining Transient Temperature Field in a Parallel-Flow Three-Fluid Heat Exchanger,” Int. Commun. Heat Mass Transfer, 32, pp. 1034–1044. [CrossRef]
Malinowski, L., and Bielski, S., 2004, “An Analytical Method for Calculation of Transient Temperature Field in the Counter-Flow Heat Exchangers,” Int. Commun. Heat Mass Transfer, 31, pp. 683–691. [CrossRef]
Yang, Y. T., and Hwang, M. L., 2009, “Numerical Simulation of Turbulent Fluid Flow and Heat Transfer Characteristics in Heat Exchangers Fitted With Porous Media,” Int. J. Heat Mass Transfer, 52, pp. 2956–2965. [CrossRef]

Figures

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Fig. 1

Structure of shell-and-tube heat exchanger

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Fig. 2

Arrangement of tubes in shell

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Fig. 3

Two-dimensional model of shell-side fluid in cylindrical shell. (a) Velocity distribution of shell-side fluid and (b) pathlines of particles of shell-side fluid.

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Fig. 4

Two-dimensional model of shell-side fluid in rectangular shell. (a) Velocity distribution of shell-side fluid and (b) pathlines of particles of shell-side fluid.

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Fig. 5

Solid-fluid coupling heat transfer model of single tube

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Fig. 6

Steps of shell-side fluid flowing around tubes

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Fig. 7

Ttube, t2 and T2 versus T1 when t1 = 293 K

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Fig. 8

Ttube, t2 and T2 versus T1 when t1 = 333 K

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Fig. 9

Ttube, t2 and T2 versus V1 when v1 = 0.87 m·s−1

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Fig. 10

Ttube, t2 and T2 versus v1 when V1 = 2.29 m·s−1

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Fig. 11

Node temperatures in heat exchanger

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Fig. 12

Mapping relationship of four temperatures; (a) relationship of four temperatures obtained from single tube model, (b) revised relationship of four temperatures according to (a)

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Fig. 13

Temperature couples used in numerical simulation

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Fig. 14

Compatibility relationship of tubes and shell

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Fig. 15

Stresses in a periodic tube bundle

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