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Low Reynolds number pressure-flow analysis across a valve: Comparison between three-point and multipoint gap functions with CFD results

NAFEMS International Journal of CFD Case Studies

Volume 13, September 2023

ISSN 1462-236X
ISBN 978-1-83979-059-1


Low Reynolds number pressure-flow analysis across a valve: Comparison between three-point and multipoint gap functions with CFD results

A. Gopinathan, V. Vipin Dev, R. Jithu Raj, M. S. Subhash Kumar,L. J. Sukanya, C. V. Muraleedharan
Biomedical Technology Wing, Sree Chitra Tirunal Institute for Medical Sciences & Technology, India

https://doi.org/10.59972/a6nnyn43

Keywords: Valve, Pressure Drop, Analytical Models, CFD Results, Low Reynold’s number flow, Navier Stokes Equation, Boundary Conditions, Fluid Properties, Lubrication Theory

Abstract

The pressure-flow characteristics of a valve that are used in major medical and industrial applications depend on the structural properties of the valve components, properties of the fluid flowing across the valve as well as the profile of the bounding region ensured by the valve-plug (moving part of the valve) and valve-seating (fixed inlet port of valve). The pressure-flow behaviour is an important aspect as far as the design of the valve is considered. The pressure difference between the inlet and outlet of the valve at a particular flow rate could either be estimated through the method of Computational Fluid Dynamics (CFD) or mathematical analytical methods. An analytical model is being developed derived from the Navier Stokes equation in which the boundary profile equations contributed by valve-plug and valve-seating along with fluid properties were being used along with the fluid parameters. As part of the exercise, the gap function which is variation in distance between the plug and seating profile along the flow direction is derived. Two different methods which are a three-point method of circular arc extraction and multipoint method of polynomial curve extraction have been discussed in this paper for obtaining the gap function. The analytical

References

  1. Wagner, Robert W., (1966). A study of modified plug designs for a globe valve Masters Theses. 5724
  2. Heikki Handroos , Jarkko Halme, (1996). Semi-empirical model for a counter balance valve: Proceedings of the JFPS International Symposium on Fluid Power
  3. H. M Handroos, M. J. Vilenius (1991) Flexible Semi-Empirical Models for Hydraulic Flow Control Valves: J. Mech. Des: 232-238
  4. Ferreira, J. A.; de Almeida, F. G.; Quintas, M. R. (2002). Semi-empirical model for a hydraulic servo-solenoid valve. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 216(3), 237–248. doi:10.1177/095965180221600303
  5. K. Park, A. Tixier, A. H. Christensen, S. F. Arnbjerg-Nielsen, M. A. Zwieniecki, K. H. Jensen (2017). Viscous flow in a soft valve: J. Fluid Mech. Vol. 836
  6. A. Gopinathan, C. Muraleedharan, D.V. Vipin, L.J. Sukanya (2021) The Analytical and Numerical Model to Predict Low Reynold’s Number Pressure - Flow Characteristics of a Valve with Non- Linear Opening Boundaries. Conference proceeding: NAFEMS World Congress 2021
  7. Suleiman Shafak (2014). The formulae for computing the coefficients of the polynomial interpolation passing through n +1 distinct point: Ordu University Journal of Science and Technology. 46-58
  8. Aneshkumar Maharaj (2018), Students' Understanding of Solving a System of Linear Equations Using Matrix Methods: A Case Study, International Journal of Educational Sciences 21(1-3):124- 134
  9. Rhonda Huettenmueller (2002), The Distance between Two Graphs, The College Mathematics Journal, 142 – 143
  10. Adi Ben-Israel (1966), A Newton-Raphson method for the solution of systems of equations, Journal of Mathematical Analysis and Applications, 243-252
  11. W. Langlois, M.O.Deville, (2014). Lubrication theory: Slow Viscous Flow 229-249
  12. Galdi, G. P. (2000). An Introduction to the Navier-Stokes Initial-Boundary Value Problem. Fundamental Directions in Mathematical Fluid Mechanics, 1–70
  13. Uruba, V. (2019). Reynolds number in laminar flows and in turbulence.: AIP Conference Proceedings 2118, 020003
  14. Prabhakara, S., Deshpande, M.D (2004). The no-slip boundary condition in fluid mechanics. Reson 9, 61–71
  15. Day, M.A (1990). The no-slip condition of fluid dynamics. Erkenntnis 33, 285–296
  16. James F. Epperson (2013), An Introduction to numerical methods and analysis, Wiley 89-169
  17. Himanshu Mahajan (2018), Research Paper on CREO, IJIRT Volume 5 Issue 3
  18. S. Yoshimoto, Tadeusz Stolarski, Yasuhiro Nakasone (2006) Engineering Analysis with ANSYS Software

Cite this paper

A. Gopinathan, V. Vipin Dev, R. Jithu Raj, M. S. Subhash Kumar,L. J. Sukanya, C. V. Muraleedharan, Low Reynolds number pressure-flow analysis across a valve: Comparison between three-point and multipoint gap functions with CFD results, NAFEMS International Journal of CFD Case Studies, Volume 13, 2023, Pages 59-79, https://doi.org/10.59972/a6nnyn43

 

Document Details

ReferenceCFDJ13-5
AuthorsGopinathan. A Vipin Dev. V Jithu Raj. R Subhash Kumar. M Sukanya. L Muraleedharan. C
LanguageEnglish
AudienceAnalyst
TypeJournal Article
Date 17th November 2023
OrganisationSree Chitra Tirunal Institute for Medical Sciences & Technology
RegionGlobal

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