Journal of Thermal Science

, Volume 24, Issue 4, pp 398–402 | Cite as

Mass flow prediction of the coriolis meter using C0 continuous beam elements

  • B. R. Binulal
  • Akash Rajan
  • Suryan R. Abhilash
  • Jayaraj Kochupillai
  • Heuy Dong Kim


A three node C0 continuous isoparametric beam element is formulated to model the curved pipe conveying fluid in three dimensional configuration. The equations of motion for the combined structure and fluid domain including added mass effect, Coriolis effect, centrifugal effect and the effect of pressure on the walls of pipe have been developed by Paidoussis. This equation is converted to finite element formulation using Galerkin technique and is validated with the results available from literature.


Coriolis mass flow meter Timoshenko beams finite element formulation Coriolis effect 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Paidoussis M P., Issid T N. Dynamic Stability of Pipes Conveying Fluids, J. Sound and Vibration, Vol. 29(3), pp. 267–294 (1974).ADSCrossRefGoogle Scholar
  2. [2]
    Sultan G., Hemp J. Modelling the Coriolis Mass Flow Meter, Journal of Sound and Vibration, 132(3), pp.473–489, (1989).ADSCrossRefGoogle Scholar
  3. [3]
    Sultan G. Single straight tube Coriolis Mas Flow Meter, Flow meas. Instrum, Vol. 3, No 4, pp.241–246, (1992).CrossRefGoogle Scholar
  4. [4]
    Friedman Z, Kosmatka J B.: An improved two node Timoshenko beam element, Computers & Structures, Vol. 47, No.3, pp. 473–481, (1993).ADSzbMATHCrossRefGoogle Scholar
  5. [5]
    Hansson, Sandberg G.. Dynamic Finite Element Analysis of Fluid Filled Pipes, Comput. Methods Appl. Mech. Engrg., Vol.190, pp. 3111–3120, (2001).Google Scholar
  6. [6]
    Wang T, Becker R C, Hussain Y. An Advanced Numerical Model for Single Straight Tube Coriolis Flow Meters, J. Fluid Engng., Vol. 128, pp. 1346–1350, (2006).CrossRefGoogle Scholar
  7. [7]
    Shanmughavally M et al. Smart Coriolis Mass Flow Meter, Measurements, Vol. 43, pp. 549–555, (2010)Google Scholar
  8. [8]
    Yao Kai et al. Finite Element Analysis of the Influence of the Vibration Disturbance on Coriolis Mass Flow Meters, IEEE International Conference on Intelligent Computation Technology and Automation, pp. 315–318, (2010).Google Scholar
  9. [9]
    Guirguis S, Fan ShngChun. Modelling of Coriolis mass flow meter of a general plane shape pipe, Flow Measurement and Instrumentation, Vol. 21, pp. 40–47. (2010)CrossRefGoogle Scholar
  10. [10]
    Kim J G, Lee J K. A Modified Beam Modelling Method Considering Dynamic Characteristics of Curved Flexible Pipes, Int. J. Pressure Vessel and Piping, Vol. 88, pp. 262–267. (2011)CrossRefGoogle Scholar
  11. [11]
    Lee S H, Jeong W B. An Efficient Method to Predict Steady State Vibration for Three dimensional Piping System Conveying a Pulsating Fluid, J.Mech.Sci.Tech., Vol. 26(9), pp. 2959–2667. (2012)MathSciNetCrossRefGoogle Scholar
  12. [12]
    E Onate. Structural Analysis with the Finite Element Method Linear Statics Vol. 2 Beams Plates and Shells, Springer, Berlin, Heidelberg (2013).Google Scholar

Copyright information

© Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • B. R. Binulal
    • 1
    • 2
  • Akash Rajan
    • 1
  • Suryan R. Abhilash
    • 3
  • Jayaraj Kochupillai
    • 3
  • Heuy Dong Kim
    • 4
  1. 1.Research Scholar, Department of Mechanical EngineeringCollege of Engineering TrivandrumNew DelhiIndia
  2. 2.Department of Mechanical EngineeringCollege of Engineering AdoorNew DelhiIndia
  3. 3.Department of Mechanical EngineeringCollege of Engineering TrivandrumNew DelhiIndia
  4. 4.Department of Mechanical EngineeringAndong National UniversitySeoulKorea

Personalised recommendations