Abstract
This chapter is part of a research program to investigate and model the leak tightness of a Pressure Relief Valve (PRV). Presented here is: a literature review; high-temperature numerical study involving the deformation of contact faces for a metal-to-metal seal accounting for micro and macro effects; and also microscopic measurements of surface finishes and how they are modelled over a micro to nanometre scale. Currently, no review of literature exists which attempts to understand the leakage phenomenon of metal-to-metal seal contact PRV for static closed positions as they reach the set pressure point. This work attempts to do just that by drawing on inspiration from other research areas such as metal-to-metal contact and gasket seals. The key topics of interest surrounding the leakage of fluid through a gap are: fluid flow assumptions, surface characteristics and its deformation, and experimental techniques used to quantify leakage. For the numerical study, the valve geometry is simplified to an axisymmetric problem, which comprises a simple geometry consisting of only three components: a cylindrical nozzle, which is in contact with a disc (representing the valve seat on top), which is preloaded by a compressed linear spring. The nozzle-disk pair is made of the austenitic stainless steel AISI type 316N(L) steel. In a previous study, the macro–micro interaction of Fluid Pressure Penetration (FPP) was carried out in an iterative manual procedure at a temperature of 20 \(^{\circ }\)C. This procedure is now automated and implemented through an APDL script, which adjusts the spring force at a macro scale to maintain a consistent seal at elevated temperatures. Finally, using the Alicona Infinite Focus the surface form and waviness is measured, presented and modelled as 1 / 4 symmetric over a macro to nanometre scale. It is clear the surface form also needs to be accounted for, something which the literature does not focus on.
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References
ANSYS\(^{\textregistered }\) Help. Mechanical APDL // Element Reference // 7. Element Library // Part I: Element Library. ANSYS, Inc., Canonsburg (PA), USA, Academic Research 14.5.7 edn (2013)
Anwar, A.A., Gorash, Y., Dempster, W., Nash, D.: Deformed gap space using macro-micro FEA model and transferred into a CFD model. In: Proceedings of Joint DMV & GAMM Annual Meeting (GAMM 2016). GAMM e.V., Braunschweig, Germany, 7–11 March (2016a, submitted)
Anwar, A.A., Ritos, K., Gorash, Y., Nash, D., Dempster, W.: Leakage of gas flow through a microchannel in the slip flow regime. In: Proceedings of ASME Pressure Vessels & Piping Conference (PVP 2016). ASME, Vancouver, Canada, 17–21 July 2016 (2016b, submitted)
API. Seat Tightness of Pressure Relief Valves. No. 527 in API Standard. American Petroleum Institute, Washington, USA (2014)
Arkilic, E.B., Schmidt, M., Breuer, K.S., et al.: Gaseous slip flow in long microchannels. J. Microelectromech. Syst. 6(2), 167–178 (1997). doi:10.1109/84.585795
ASME. Pressure Relief Devices – Performance Test Codes. No. ASME PTC 25-2014 in An American National Standard, The American Society of Mechanical Engineers, New York, USA (2014)
BHR Group Ltd. Valve stem leak – tightness test methodologies. Summary report no. CR1234, European Commission, British Hydromechanics Research Group Ltd., Cranfield, UK (2000)
BSI. Safety devices for protection against excessive pressure. Safety valves. No. BS EN ISO 4126-1:2013 in British Standard, The British Standards Institution, London, UK (2013)
Burmeister, L.C., Loser, J.B., Sneegas, E.C. Advanced valve technology – Revised and enlarged edition. Technology Survey no. NASA SP-5019, Midwest Research Institute, NASA, Washington, D.C., USA (1967)
Chaboche, J.-L.: A review of some plasticity and viscoplasticity constitutive theories. Int. J. Plast. 24(10), 1642–1693 (2008). doi:10.1016/j.ijplas.2008.03.009
Chong, X.: Subsonic choked flow in the microchannel. Phys. Fluids 18(12), 127,104–1–127,104–5 (2006). doi:10.1063/1.2408510
Gagnepain, J., Roques-Carmes, C.: Fractal approach to two-dimensional and three-dimensional surface roughness. Wear 109(1), 119–126 (1986). doi:10.1016/0043-1648(86)90257-7
Ganti, S., Bhushan, B.: Generalized fractal analysis and its applications to engineering surfaces. Wear 180(1), 17–34 (1995). doi:10.1016/0043-1648(94)06545-4
Geoffroy, S., Prat, M.: On the leak through a spiral-groove metallic static ring gasket. J. Fluids Eng. 126(1), 48–54 (2004). doi:10.1115/1.1637627
Gorash, Y., MacKenzie, D.: Safe structural design for fatigue and creep using cyclic yield strength. In: Proceedings of 3rd International ECCC Conference – Creep & Fracture in High Temperature Components (ECCC 2014), paper no. ECCC2014-87, Centro Sviluppo Materiali, Rome, Italy, 5–7 May 2014 (2014)
Gorash, Y., Altenbach, H., Lvov, G.: Modelling of high-temperature inelastic behaviour of the austenitic steel AISI type 316 using a continuum damage mechanics approach. J. Strain Anal. 47(4), 229–243 (2012). doi:10.1177/0309324712440764
Gorash, Y., Dempster, W., Nicholls, W.D., Hamilton, R.: Leak tightness in safety valves: Structural and fluid dynamics analyses, microscopic studies and experimental setup. Report: Project N1a, Weir Advanced Eesearch Centre, University of Strathclyde, Glasgow, UK (2014)
Gorash, Y., Dempster, W., Nicholls, W.D., Hamilton, R.: Modelling of metal-to-metal seals in a pressure relief valve using advanced FE-analysis. In: de Hosson, J.T.M., Hadfield, M., Brebbia, C.A. (eds.) WIT Transactions on Engineering Sciences, vol. 91, pp. 247–258. WIT Press, Southampton (2015). doi:10.2495/SECM150221
Haruyama, S., Nurhadiyanto, D., Choiron, M.A., Kaminishi, K.: Influence of surface roughness on leakage of new metal gasket. Int. J. Press. Vessel. Pip. 111, 146–154 (2013). doi:10.1016/j.ijpvp.2013.06.004
Hyde, C.J., Sun, W., Leen, S.B.: Cyclic thermo-mechanical material modelling and testing of 316 stainless steel. Int. J. Press. Vess. Pip. 87(6), 365–372 (2010). doi:10.1016/j.ijpvp.2010.03.007
Jackson, R.L., Streator, J.L.: A multi-scale model for contact between rough surfaces. Wear 261(11), 1337–1347 (2006). doi:10.1016/j.wear.2006.03.015
Kemet International Limited. How to measure flatness – Technical article. www.kemet.co.uk/blog/lapping/how-to-measure-flatness-technical-article/ (2015). Accessed 11 Jan 2016
Ledoux, Y., Lasseux, D., Favreliere, H., Samper, S., Grandjean, J.: On the dependence of static flat seal efficiency to surface defects. Int. J. Press. Vess. Pip. 88(11–12), 518–529 (2011). doi:10.1016/j.ijpvp.2011.06.002
Man, J., Zhou, Q., Tao, Z., Zhang, Y., An, Q.: Micro-scale numerical simulation on metal contact seal. Proc. IMechE, Part C: J. Mech. Eng. Sci. 228(12), 2168–2177 (2014). doi:10.1177/0954406213515644
Marie, C., Lasseux, D.: Experimental leak-rate measurement through a static metal seal. J. Fluids Eng. 129(6), 799–805 (2007). doi:10.1115/1.2734250
Megalingam, A., Mayuram, M.: Elastic-plastic contact analysis of single layer solid rough surface model using fem. Int. J. Mech. Aerosp. Ind. Mechatron. Manuf. Eng. 6(1), 133–137 (2012)
Mitchell, L., Rowe, M.: Influence of asperity deformation mode on gas leakage between contacting surfaces. J. Mech. Eng. Sci. 11(5), 534–549 (1969). doi:10.1243/JMES_JOUR_1969_011_065_02
Müller, H.K., Nau, B.S.: Fluid Sealing Technology: Principles and Applications. Marcel Dekker Inc, New York (1998)
O’Callaghan, P., Probert, S.: Prediction and measurement of true areas of contact between solids. Wear 120(1), 29–49 (1987). doi:10.1016/0043-1648(87)90131-1
Pérez-Ràfols, F., Larsson, R., Almqvist, A.: Modelling of leakage on metal-to-metal seals. Tribol. Int. 94, 421–427 (2016). doi:10.1016/j.triboint.2015.10.003
Ritchie, G.: Minimizing pressure relief valve seat leakage through optimization of design parameters. B.Sc. thesis, Dept. of Mechanical Engineering, MIT, Massachusetts, USA (1989)
Robbe-Valloire, F., Prat, M.: A model for face-turned surface microgeometry: application to the analysis of metallic static seals. Wear 264(11), 980–989 (2008). doi:10.1016/j.wear.2007.08.001
Robbe-Valloire, F., Paffoni, B., Progri, R.: Load transmission by elastic, elasto-plastic or fully plastic deformation of rough interface asperities. Mech. Mater. 33(11), 617–633 (2001). doi:10.1016/S0167-6636(01)00074-6
Singh, A., Bernstein, M.D. (eds.) Testing and Analysis of Safety/Relief Valve Performance. In: Proceedings of ASME conferences. United Engineering Center, ASME, New York, USA (1983)
Smith, E., Vivian, B.E.: An Introductory Guide to Valve Selection. Introductory Guide Series (REP). Wiley, New York (1995)
Spirax Sarco. Steam engineering tutorials: Introduction to safety valves. www.spiraxsarco.com/Resources/Pages/Steam-Engineering-Tutorials/safety-valves/introduction-to-safety-valves.aspx (2016). Accessed 05 Jan 2016
Thompson, M.K.: Geometric primitive surface roughness in finite element models. In: 2007 Annual Meeting for the Society of Tribologists and Lubrication Engineers, Philadelphia, PA (2007a)
Thompson, M.K.: A multi-scale iterative approach for finite element modeling of thermal contact resistance. Ph.D. thesis, Dept. of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, USA (2007b)
Thompson, M.K.: A comparison of methods to evaluate the behavior of finite element models with rough surfaces. Scanning 33(5), 353–369 (2011). doi:10.1002/sca.20252
Thompson, M.K., Thompson, J.M.: Considerations for the incorporation of measured surfaces in finite element models. Scanning 32(4), 183–198 (2010a). doi:10.1002/sca.20180
Thompson, M.K., Thompson, J.M.: Methods for generating probabilistic rough surfaces in ANSYS. In: Proceedings of 20th Korea ANSYS User’s Conference, ANSYS Inc., Gyeongju (Sep. 9–10), South Korea (2010b)
Tsukizoe, T., Hisakado, T.: On the mechanism of contact between metal surfaces - the penetrating depth and the average clearance. J. Basic Eng. 87(3), 666–672 (1965). doi:10.1115/1.3650635
University of Cambridge. Teaching packages: Slip line field theory. www.doitpoms.ac.uk/tlplib/metal-forming-3/slip_line_field.php (2004). Accessed 13 Oct 2014
Uppal, A., Probert, S.: Deformation of single and multiple asperities on metal surfaces. Wear 20(3), 381–400 (1972). doi:10.1016/0043-1648(72)90417-6
Vallet, C., Lasseux, D., Sainsot, P., Zahouani, H.: Real versus synthesized fractal surfaces: Contact mechanics and transport properties. Tribol. Int. 42(2), 250–259 (2009). doi:10.1016/j.triboint.2008.06.005
Zappe, R.W.: Valve Selection Handbook. Gulf Professional Publishing, Oxford (2004)
Acknowledgments
There are many people without whom this research project could have not have been possible. The authors would like to thank:
\(\bullet \) The individuals who’s research has been mentioned in this paper, since without their great work, this literature review would have not come about;
\(\bullet \) Colleagues and supervisors, in particular, Robert Hamilton and David Nash;
\(\bullet \) The WEIR group and the WEIR Advanced Research Center (WARC) in particular, Allan Bickley, Allan Stewart, Ian MacQueen, Stéphane Carrier and Fabrice Courdavault;
\(\bullet \) Brian Kyte (Sales Director at Alicona UK) for the help in getting access to the Alicona Infinite Focus and addressing technical matters;
\(\bullet \) Liza Hall (University of Strathclyde, Advanced Forming and Research Centre, Metrology) for allowing to use the Alicona Infinite Focus and addressing technical matters;
\(\bullet \) Rong Su and Wahyudin Syam (University of Nottingham, Institute for Advanced Manufacturing) for allowing to use the Alicona Infinite Focus and addressing technical matters.
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Anwar, A.A., Gorash, Y., Dempster, W. (2016). Application of Multi-scale Approaches to the Investigation of Sealing Surface Deformation for the Improvement of Leak Tightness in Pressure Relief Valves. In: Naumenko, K., Aßmus, M. (eds) Advanced Methods of Continuum Mechanics for Materials and Structures. Advanced Structured Materials, vol 60. Springer, Singapore. https://doi.org/10.1007/978-981-10-0959-4_27
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