Numerical investigation of upstream cylinder flow and characterization of forming fabrics
Source abstract
Abstract
Abstract In this work, the fundamentals of upstream flow over cylinders and forming fabrics are investigated, and measures for characterization of fabrics are proposed. Two-dimensional flow over one cylinder, two cylinders, and one and two rows of cylinders, are analysed numerically. By studying different configurations and various Reynolds numbers, the upstream flow features are characterized. It is concluded that cylinders have a short range of upstream flow impact, shortest for rows of cylinders with small spacings. ForRe\in [10,80], the Reynolds number dependency is weak. It is shown that a downstream row positioned in tandem has negligible impact on the upstream flow, while a displaced second row influences the upstream flow if the spacing in the first row is larger than one diameter. The pressure drop required to drive the flow over the cylinders depends non-linearly on the porosity of the configuration. Flow measures of the upstream flow are proposed, which in addition to the volume flow per area are used to characterize fabric flow properties. The conclusions from the cylinder study also hold for industrial fabrics, and it can be explained how properties of the fabric influence the final paper. The wave-length of flow periodicity is studied in relation to drainage marking. This study demonstrates that simulations can greatly improve pure experimental-based fabric characterization.
Source: crossref · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Wind and Air Flow Studies · Fluid Dynamics and Vibration Analysis · Lattice Boltzmann Simulation Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Fraunhofer-Chalmers Centre , Chalmers Science Park , Gothenburg , Sweden
Chalmers University of Technology and University of Gothenburg , Mathematical Sciences , Gothenburg , Sweden
166448 Albany International , Box 510 , Halmstad , Sweden
225319 Stora Enso , Research Centre Karlstad , Karlstad , Sweden
References (22)
Show source-provided references
1. Benard, H. (1908) Formation de centres de giration à l’arrière d’un obstacle en mouvement. C. R. Acad. Sci. 147:839–842.
2. Bird, B., Stewart, W., Lightfoot, E. Transport Phenomena. Wiley, New York, 2002.
3. Danby, R. (1986) The impact of multilayer fabrics on sheet formation and wire mark. Pulp Pap. Can. 87(8):69–74.
4. Doormaal, J.V., Raithby, G. (1984) Enhancements of the simple method for predicting incompressible fluid flows. Numer. Heat Transf.. 7(2):147–163.10.1080/01495728408961817 ↗
5. Gilchrist, S., Green, S.I. (2009) Experimental investigation of flow through a bank of cylinders of varying geometry. J. Fluids Struct. 25(3):506–518.10.1016/j.jfluidstructs.2008.10.001 ↗
6. Green, S.I., Wang, Z., Waung, T., Vakil, A. (2008) Simulation of the flow through woven fabrics. Comput. Fluids 37(9):1148–1156.10.1016/j.compfluid.2007.10.013 ↗
7. Helle, T. (1978) How forming fabric design affects drainage and release. Pulp Pap. Can. 79(11):91–98.
8. Huang, Z., Olson, J.A., Kerekes, R.J., Green, S.I. (2006) Numerical simulation of the flow around rows of cylinders. Comput. Fluids 35(5):485–491.10.1016/j.compfluid.2005.03.001 ↗
9. Von Karman, T., Rubach, H. (1912) Über den Mechanismus des Flüssigkeits- und Luftwiderstandes. Phys. Z. 13(2):49–59.
10. Kettil, G. (2016) A novel fiber interaction method for simulation of early paper forming. Licentiate thesis, Chalmers University of Technology, Gothenburg, Sweden.
11. Kortelainen, P., Kilpeläinen, R., Taipale, S., Marin, A., Metsäranta, S., Lohm, S., Sjöblom, E. (2008) Forming fabrics. In: Papermaking Part 1, Stock Preparation and Wet End, Ed. Paulapuro, H. Paperi ja Puu Oy, Helsinki. pp. 310–340.
12. Mark, A., Rundqvist, R., Edelvik, F. (2011a) Comparison between different immersed boundary conditions for simulation of complex fluid flows. Fluid Dyn. Mater. Proc.. 7(3):241–258.
13. Mark, A., Svenning, E., Rundqvist, R., Edelvik, F., Glatt, E., Rief, S., Wiegmann, A., Fredlund, M., Lai, R., Martinsson, L., Nyman, U. (2011b) Microstructure simulation of early paper forming using immersed boundary methods. Tappi J. 10(11):23–30.10.32964/10.32964/TJ10.11.23 ↗
14. Mark, A., van Wachem, B.G.M. (2008) Derivation and validation of a novel implicit second-order accurate immersed boundary method. J. Comput. Phys. 227(13):6660–6680.10.1016/j.jcp.2008.03.031 ↗
15. Pozdziech, O., Grundmann, R. (2007) A systematic approach to the numerical calculation of fundamental quantities of the two-dimensional flow over a circular cylinder. J. Fluids Struct. 23(3):479–499.10.1016/j.jfluidstructs.2006.09.004 ↗
16. Rhie, C., Chow, W. (1983) Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21(11):1527–1532.10.2514/3.8284 ↗
17. Roshko, A. (1954) On the development of turbulent wakes from vortex streets, NACA Report, Washington, D. C., USA, pp. 1–25.
18. Svenning, E., Mark, A., Edelvik, F., Glatt, E., Rief, S., Wiegmann, A., Martinsson, L., Lai, R., Fredlund, M., Nyman, U. (2012) Multiphase simulation of fiber suspension flows using immersed boundary methods. Nord. Pulp Pap. Res. J. 27(2):184–191.10.3183/npprj-2012-27-02-p184-191 ↗
19. Tritton, D.J. (1959) Experiments on the flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 6(4):547–567.10.1017/S0022112059000829 ↗
20. Vakil, A., Olyaei, A., Green, S.I. (2009) Three-dimensional geometry and flow field modeling of forming fabrics. Nord. Pulp Pap. Res. J. 24(3):342–350.10.3183/npprj-2009-24-03-p342-350 ↗
21. Zdravkovich, M.M. (1977) Review – review of flow interference between two circular cylinders in various arrangements. J. Fluids Eng. 99(4):618–633.10.1115/1.3448871 ↗
22. Zdravkovich, M.M. Flow around circular cylinders. Vol. 1: Fundamentals. Oxford Univesity Press, Oxford, 1997. pp. 3–16.10.1093/oso/9780198563969.003.0001 ↗