Open Access Open Access  Restricted Access Subscription or Fee Access

Investigation of Natural Frequency and Damping Ratio Due to Flow-Induced Vibration in a Finned Tube Subjected to Cross-Flow

Pravin Hindurao Yadav(1*), Dillip Kumar Mohanty(2)

(1) VIT-AP & Sharad Institute of Technology College of Engineering, Yadrav, India
(2) Associate Professore, VIT-AP Amaravati, India
(*) Corresponding author



Flow-induced vibration is one of the major causes of failure of shell and tube heat exchangers. Natural frequency and damping ratio are the two significant parameters which strongly affect the flow-induced vibration. There are various methods available to investigate the natural frequency for plane tubes, but very few are applicable for the finned tube. Also very limited literature is available to investigate the damping ratio by the theoretical method. The Finite Element Analysis (FEA) technique can be used to investigate the natural frequency and damping ratio of the finned tube. The objective of the present work is to analyse the natural frequency and damping ratio using the FEA technique. The modal analysis has been carried out with different tube geometries to analyse the range of resonant frequency. The harmonic analysis has been adopted to obtain the frequency response and the damping ratio has been calculated using the half bandwidth method. The free vibration test has been conducted with the piezoelectric accelerometer by considering the tube and rod attachment as a cantilever beam. The results of the FEA are in close agreement with the experimental results for finned tube arrangement. The results obtained for different fin geometry for natural frequency and damping ratio illustrate that the natural frequency is inversely proportional to fin height and fin pitch whereas the damping ratio is directly proportional to fin height and fin pitch.
Copyright © 2021 Praise Worthy Prize - All rights reserved.


Flow-Induced Vibration; Modal Analysis; Harmonic Analysis; Finned Tube

Full Text:



Aouimer, Y., Boutchicha, D., Hamoudi, B., Numerical and Experimental Study of Fluid-Structure Interaction of a Marine Propeller, (2020) International Review of Mechanical Engineering (IREME), 14 (5), pp. 282-289.

D. Tang, D. Liu, Z. Ding, H. Zhu, and W. Yuan, Numerical investigation on the interactions of flow induced vibrations among neighboring cylinders in a cylinder bundle, Ann. Nucl. Energy, vol. 140, no. xxxx, p. 107156, 2020.

S. Kosai and H. Unesaki, Quantitative analysis on the impact of nuclear energy supply disruption on electricity supply security, Appl. Energy, vol. 208, no. September, pp. 1198–1207, 2017.

Kini, C., Sharma, N., Shenoy B., S., Fluid Structure Interaction Study of High Pressure Stage Gas Turbine Blade Having Grooved Cooling Channels, (2017) International Review of Mechanical Engineering (IREME), 11 (11), pp. 825-830.

S. S. Chen, a Review of Two-Phase Flow-Induced Vibration. Pergamon Press plc, 1989.

D.S. Weaver, J.A. Fitzpatrick, A review of cross-flow induced vibrations in heat exchanger tube arrays††The original version of this paper was prepared for presentation at the International Conference on Flow Induced Vibrations, Bowness-on-Windermere, 12–14 May 1987; proceedings published by BHRA The Fluid Engineering Centre, Cranfield, England (ed. R. King)., Journal of Fluids and Structures, Volume 2, Issue 1, 1988, Pages 73-93, ISSN 0889-9746.

R. F. Neumeister, A. P. Petry, and S. V. Möller, Analysis of the coherence between FIV acceleration and flow velocity in a square array tube bank with P/D = 1.26, Nucl. Eng. Des., vol. 373, 2021.

S. Nishida, S. Azuma, H. Morita, K. Hirota, R. Kawakami, and Y. Nishikawa, In-Plane Fluidelastic Instability Evaluation of Triangular Array Tube Bundle Using Fluid Force Measured Under Steam–Water Two-Phase Flow Condition, J. Press. Vessel Technol., vol. 143, no. 1, 2021.

G. Xi, C. Shi, S. Zou, Z. Y. Cheng, and Y. Deng, Research progress in natural frequency calculation of heat exchanger tube bundles, Appl. Mech. Mater., vol. 672–674, pp. 1592–1595, 2014.

H. Gelbe, M. Jahr, and K. Schröder, Flow-induced vibrations in heat exchanger tube bundles, Chem. Eng. Process. Process Intensif., vol. 34, no. 3, pp. 289–298, 1995.

Foong, F.M., Ket, T.C., Lee, O.B. et al. Stress and damping of wide cantilever beams under free vibration. J Mech Sci Technol 33, 21–27 (2019).

P. H. Yadav and D. K. Mohanty, Materials Today : Proceedings Effect of material on fluid elastic instability of parallel triangular tube array subjected to water cross, Mater. Today Proc., no. xxxx, 2021.

J. Lai, L. Sun, L. Gao, T. Tan, and P. Li, Numerical study on fluid elastic instability of tube bundles in two-phase flow considering the effect of tube boundary constraint, Ann. Nucl. Energy, vol. 144, p. 107532, 2020.

A. Tamil Chandran, T. Suthakar, K. R. Balasubramanian, S. Rammohan, and J. Chandapillai, Modal Analysis of Pipe Line Under Fluid-Structure Interaction by Simulation and Experiment, Lect. Notes Mech. Eng., pp. 599–624, 2021.

S. R. Desai and S. Pavitran, Theoretical analysis of fluid elastic vibrations of finned tube arrays subjected to cross flow of water, J. Vib. Eng. Technol., vol. 4, no. 1, pp. 21–29, 2016.

S. R. Desai and S. Pavitran, Experimental Investigation on Vortex Shedding and Fluid Elastic Instability in Finned Tube Arrays Subjected to Water Cross Flow, J. Press. Vessel Technol. Trans. ASME, vol. 139, no. 5, 2017.

. S. Chen, M. W. Wambsganss, and J. A. Jendrzejczyk, Added Mass and Damping of a Vibrating Rod in Confined Viscous Fluids., Am. Soc. Mech. Eng., no. 76-APM-27, pp. 325–329, 1976.

W. A. Mair, P. D. F. Jones, and R. K. W. Palmer, Vortex shedding from finned tubes, J. Sound Vib., vol. 39, no. 3, pp. 293–296, 1975.

S. R. Desai and A. A. Maniyar, Fluidelastic Vibration Analysis of Normal Square Finned Tube Arrays in Water Cross Flow, J. Press. Vessel Technol. Trans. ASME, vol. 141, no. 3, 2019.

W. Tan, H. Wu, and G. Zhu, Investigation of the Vibration Behavior of Fluid elastic Instability in Closely Packed Square Tube Arrays, Trans. Tianjin Univ., vol. 25, no. 2, pp. 124–142, 2019.

M. A. Akram, S. Khushnood, S. L. Tariq, L. A. Nizam, and H. M. Ali, The effect of grid generated turbulence on the fluidelastic instability response in parallel triangular tube array, Ann. Nucl. Energy, vol. 158, p. 108245, 2021.

V. Kumar, K. Kumar Singh, and S. Gaurav, Analysis of Natural Frequencies for Cantilever Beam with I-and T-Section Using Ansys, Int. Res. J. Eng. Technol., vol. 2, no. September 2015, pp. 1013–1020, 2015.

Sunil, A., Tide, P., Numerical Investigations on Suppression of Aeolian Vibrations on a Tall Chimney Using Helical Strakes, (2019) International Journal on Engineering Applications (IREA), 7 (5), pp. 152-159.

Alhassan, M., Al-Rousan, R., Hejazi, M., Novel Nonlinear Model for Analysis of RC Slabs with Various Boundary Conditions Under Monotonic Loading, (2018) International Review of Civil Engineering (IRECE), 9 (6), pp. 218-233.

Ismagilov, F., Zherebtsov, A., Vavilov, V., Sayakhov, I., Design and Experimental Investigation of BLDC Motor for Aircraft Electromechanical Actuator, (2020) International Review of Aerospace Engineering (IREASE), 13 (1), pp. 10-15.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2021 Praise Worthy Prize