Development of a Transient Model for Evaluation of Shell and Tube Heat Exchanger with Helical Baffles Applied for SiO2 Nanofluid


Shell-and-tube heat exchanger, helical baffles, nanofluid, modeling and simulation, differential model.

How to Cite

M.L. Magalhães, A.S. Pereira, S.J.M. Cartaxo. Development of a Transient Model for Evaluation of Shell and Tube Heat Exchanger with Helical Baffles Applied for SiO2 Nanofluid. J. Adv. Therm. Sci. Res. [Internet]. 2018 Sep. 25 [cited 2022 May 23];5(1):9-16. Available from:


 While integrated sizing and analysis procedures for helical shell-and-tube heat exchangers are available in the technical literature, the same does not hold for differential transient methods. This work aims to develop a differential transient model for a shell-and-tube heat exchanger with helical baffles with one pass in the shell and two passes in the tubes, considering one-dimensional variation along the length of the equipment. It is intended to determine the fluids temperature profiles and overall heat transfer coefficient along the equipment. Temperature correction factor Ft, heat load and pressure losses were estimated with the model. The thermophysical properties of the fluids were locally evaluated by using published predictive correlations. Simulations were performed using Python framework computing environment assuming a SiO2 nanofluid.


Kern DQ. Process Heat Transfer, New York: McGraw-Hill 1950.

Tao WQ, He YL and Zhang JF. A Design and Rating Method for Shell-and-Tube Heat Exchangers With Helical Baffles. Journal of Heat Transfer 2010; 132: 51802.1-51802.8.

Schlünder EU. Heat Exchanger Design Handbook. Washington: Hemisphere 1983.

Stehlik P, Nemcansky J and Kral D. Comparison of Correction Factors for Shell-and-Tube Heat Exchangers With Segmental or Helical Baffles. Heat Transfer Eng 1994; 5: 55-65.

Sieder FN and Tate GE. Heat Transfer and Pressure Drop of Liquids in Tubes. Ind Eng Chem 1936; 28: 1429-1433.

Gnielinski V. New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flows. Int Chem Eng 1976; 16: 359-368.

Gaddis ES and Gnielinski V. Pressure Drop on the Shell Side of Shell-and-Tube Heat Exchangers with Segmental Baffles. Chem Eng Process 1997; 36: 149-159.

Kuppan T. Heat Exchanger Design Handbook. New York: Marcel Dekker 2000.

Xiao X, Zhang L, Li X, Jiang B, Yang X and Xia Y. Numerical investigation of helical baffles heat exchanger with different Prandtl number fluids. International Journal of Heat and Mass Transfer 2013; 63: 434-444.

Perry RH and Green DW. Perry’s Chemical Engineers´ handbook. New York: McGraw-Hill, 1999.

Poling BE, Prausnitz JM and O’Connell JP. The properties of gases and liquids. New York: McGraw-Hill 2001.

Xuan Y and Roetzel W. Conceptions for heat transfer correlation of nanofluids. Int J Heat Mass Trans 2000; 43: 3701-3707.

Sharma KV, Sarma PK, Azmi WH, Mamat R and Kadirgama K. Correlations to predict friction and forced convection heat transfer coefficients of water based nanofluids for turbulent flow in a tube, Int. J. Microscale Nanoscale Therm. Fluid Transport Phenom. (Special Issue in Heat and Mass Transfer in Nanofluids) 2012; 3(4): 1-25.

Vajjha RS, Das DK and Kulkarni DP. Development of new correlations for convective heat transfer and friction factor in turbulent regime for nanofluids. Int J Heat Mass Transf 2010; 53(21-22): 4607-4618.

Azmi WH, Sharma KV, Sarma PK, Mamat R, Anuar S and Dharma Rao. Experimental determination of turbulent forced convection heat transfer and friction factor with SiO2 nanofluid. Exp Therm Fluid Sci 2013; 51(0): 103e-111.