ANALYTICAL MODEL FOR ESTIMATION OF TEMPERATURE DISTRIBUTION IN PARALLEL AND COUNTER FLOW DOUBLE PIPE HEAT EXCHANGERS

Heat exchangers are a widely used as a device for meeting the heat transfer requirement in industrial applications. Many types of innovative heat exchanger designs have been implemented with the aim of increasing heat transfer. Numerous experimental and numerical studies are available in the literature on obtaining heat transfer and temperature distribution these systems. In the present study, an analytical model was developed to solve the nonlinear differential energy equation in order to estimate the temperature distribution in the parallel and counter flow double pipe heat exchanger. These analytical solutions have occurred of Bessel functions. A numerical study was carried out to determine the validity of the analytical results. Moreover, the analytical and the numerical results were compared with each other. Water is used as a fluid and the analyses were carried out for laminar and steady-state flow conditions at a certain Reynolds number (Re=1500). The findings showed that the analytical results for temperature distribution in the radial direction are in good agreement with the numerical results for all the flow conditions. However, the analytical model for the temperature distribution in the axial direction yielded more accurate results in the parallel flow conditions.

___

  • [1] H. K. Versteeg and W. Malalasekera, “An Introduction to Computational Fluid Dynamics - The Finite Volume Method,” Fluid flow handbook. McGraw-Hill,p. 267, 1995.
  • [2] P. A. Isaza, W. D. Warnica, and M. Bussmann, “Co-current parallel-plate moving bed heat exchanger: An analytical solution,” Int. J. Heat Mass Transf., vol. 87, pp. 616–624, 2015.
  • [3] A. E. Quintero and M. Vera, “Laminar counterflow parallel-plate heat exchangers: An exact solution including axial and transverse wall conduction effects,” Int. J. Heat Mass Transf., vol. 104, pp. 1229–1245, 2017.
  • [4] J. Yin and M. K. Jensen, “Analytic model for transient heat exchanger response,” Int. J. Heat Mass Transf., vol. 46, no. 17, pp. 3255–3264, 2003.
  • [5] G. Zhang, C. Xia, M. Sun, Y. Zou, and S. Xiao, “A new model and analytical solution for the heat conduction of tunnel lining ground heat exchangers,” Cold Reg. Sci. Technol., vol. 88, pp. 59–66, 2013.
  • [6] M. Omidi, M. Farhadi, and M. Jafari, “A comprehensive review on double pipe heat exchangers,” Appl. Therm. Eng., vol. 110, pp. 1075–1090, 2017.
  • [7] W.-L. Chen and W.-C. Dung, “Numerical study on heat transfer characteristics of double tube heat exchangers with alternating horizontal or vertical oval cross section pipes as inner tubes,” Energy Convers. Manag., vol. 49, no. 6, pp. 1574–1583, 2008.
  • [8] M. Lachi, N. El Wakil, and J. Padet, “The time constant of double pipe and one pass shell-and-tube heat exchangers in the case of varying fluid flow rates,” Int. J. Heat Mass Transf., vol. 40, no. 9, pp. 2067– 2079, Jun. 1997.
  • [9] R. J. Nunge and W. N. Gill, “An analytical study of laminar counterflow double-pipe heat exchangers,” AIChE J., vol. 12, no. 2, pp. 279–289, Mar. 1966.
  • [10] M. A. Abdelghani-Idrissi, F. Bagui, and L. Estel, “Analytical and experimental response time to flow rate step along a counter flow double pipe heat exchanger,” Int. J. Heat Mass Transf., vol. 44, no. 19, pp. 3721– 3730, 2001.
  • [11] Y. A. Çengel and A. J. Ghajar, Heat and mass transfer (a practical approach, SI version), 2011.