Estimation of Passive Drag in Swimming via Experimental and Computational Means

Authors

  • Alex Haskins School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK
  • Carla McCabe School of Sport, Ulster University, Belfast, BT15 1AP, UK
  • Ryan Keating School of Sport, Ulster University, Belfast, BT15 1AP, UK
  • Alex Lennon School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK
  • Dominic Chandar School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK

DOI:

https://doi.org/10.13052/ejcm2642-2085.3333

Keywords:

Immersed boundary method, passive drag, OpenFOAM, validation

Abstract

Discussed is a comparison of computational and experimental evaluations of passive drag during human swimming. Experimentally, ten trials were conducted per athlete at five chosen velocities, using a commercial resistance trainer to record the tension force in a rope during a streamline position tow test. The resistive force recorded was assumed equal to the passive drag force and an average value of passive drag was found across each tow test. Mean passive drag values measured during the tow test were agreed well with existing experimental data across the range of velocities used, varying between 20 N at 1 ms−1 up to 100 N at 2 ms−1. Computationally, using the immersed boundary method in OpenFOAM, basic geometry validation cases and streamline passive drag cases were simulated. Validation cases were completed on 2D cylinders and 3D spheres with the drag coefficient found at low and high Reynolds numbers, using the simpleFoam solver within OpenFOAM. Results tended to be slightly over predictive when compared with existing simulation and experimental data in literature. The accuracy of results could potentially be improved using a finer mesh and better quality geometries. The passive drag was also computed using OpenFOAM over a range of velocities, similar to the experiments, varying from 30 N at 1 ms−1 to 120 N at 2 ms−1. Drag forces computed using simpleFoam were over predictive when compared to existing literature and the completed experiments, likely due to the inaccuracy of the geometry used in the simulations. When results were compared to existing literature for swimmers not in a perfect streamline position, more similar to the geometry used in this study, results were in better agreement. The accuracy of the results could be improved using a better quality geometry in the correct position.

Downloads

Download data is not yet available.

Author Biographies

Alex Haskins, School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK

Alex Haskins is a PhD student in Aerospace Engineering at Queen’s University Belfast. Alex’s PhD research, commenced in 2021, investigates drag in human frontcrawl swimming, quantified via computational and experimental means. Before commencing his PhD research, Alex graduated from Queen’s University Belfast in 2021 with an MEng in Aerospace Engineering (First Class Honours). Alex is growing his research portfolio throughout his PhD, with a previous publication in July of 2023 entitled ‘A novel method of determining the active drag profile in swimming via data manipulation of multiple tension force collection methods’.

Carla McCabe, School of Sport, Ulster University, Belfast, BT15 1AP, UK

Carla McCabe is a Senior Lecturer in Sport and Exercise Biomechanics at Ulster University. Carla’s research interests are in human movement performance, specifically within an aquatic environment. Since 2008, Carla has developed extensive expertise in swimming biomechanics as evidenced by her international research portfolio, publication outputs and peer-review engagement across numerous Sport Science and Biomechanics journals. Carla graduated from the University of Limerick (2003) with a BSc Sports and Exercise Science degree (First Class honours). Subsequently, she was awarded a scholarship and completed her PhD at the University of Edinburgh (2008) investigating the effect ‘race pace’ had on three-dimensional kinematics and linear kinetics within sprint and distance specialist swimmers.

Ryan Keating, School of Sport, Ulster University, Belfast, BT15 1AP, UK

Ryan Keating is currently a full-time PhD researcher at Ulster University, investigating load-velocity profiling in swimming. In 2020, Ryan completed an MSc in Strength & Conditioning at Ulster University. Ryan is an accredited strength & conditioning coach through the UK Strength & Conditioning Association with coaching experience in able-bodied and para-swimming, wheelchair basketball, judo, para-badminton, sailing, lawn bowls, rugby, Gaelic football, football and futsal. Ryan’s research interests include strength diagnostics for sport performance.

Alex Lennon, School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK

Alex Lennon is a senior lecturer in the School of Mechanical & Aerospace Engineering in Queen’s University, Belfast. His research interests include orthopaedic and cardiovascular biomechanics, tissue mechanics, biomaterials, medical device testing and analysis, mechanobiology of cells and tissues, and polymer mechanics and processing. After completing his undergraduate degree in Mechanical Engineering in University College Dublin, Alex worked as a research assistant and consultant engineer for a medical device campus spin-out company from University College Dublin’s Bioengineering Research Centre before undertaking and completing a Ph.D. in Bioengineering in Trinity College Dublin. Between his Ph.D. and moving to Queen’s University Belfast, he was lead technical developer for an Enterprise Ireland funded spin-out project to develop software for pre-operative planning of total hip replacement using patient-specific simulation of implant loosening and subsequently worked as a research fellow in Trinity College Dublin’s Centre for Bioengineering on projects to link biomechanical simulation tools with health informatics systems and develop computational tools for cell and tissue mechanobiology.

Dominic Chandar, School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, BT9 5AH, UK

Dominic Chandar is currently a Computational Engineer at Luminary Cloud, with a diverse background in academia and research. From 2019 to 2021, Dominic served as a lecturer in the School of Mechanical and Aerospace Engineering at Queen’s University Belfast. Prior to that, Dominic was a scientist at the Agency for Science, Technology, and Research (A*STAR) in Singapore from 2013 to 2019. Dominic’s postdoctoral work, conducted between 2010 and 2013 at the University of Wyoming, focused on High Performance Computing for Computational Fluid Dynamics (CFD). Dominic earned his PhD in Computational Engineering from Nanyang Technological University’s School of Mechanical and Aerospace Engineering in Singapore (2006–2010). Earlier in Dominic’s career, he worked as a scientist in India’s Defence Research and Development Organisation (2004–2005) and completed a Master’s in Aerospace Engineering at the Indian Institute of Science, Bangalore (2002–2004).

References

Voronstov, A. R., Rumyanstev, V.A. (2008). Resistive Forces In Swimming. In Biomechanics in SportBlackwell Science Ltd. https:/doi.org/10.1002/9780470693797.ch27

Payton, C., Hogarth, L., Burkett, B., van de Vliet, P., Lewis, S., and Oh, Y. T. (2020). Active Drag as a Criterion for Evidence-based Classification in Para Swimming. Medicine and Science in Sports and Exercise, 52(7), 1576–1584. https:/doi.org/10.1249/MSS.0000000000002281.

Barbosa, T. M., Ramos, R., Silva, A. J., and Marinho, D. A. (2018). Assessment of passive drag in swimming by numerical simulation and analytical procedure. Journal of Sports Sciences, 36(5), 492–498. https:/doi.org/10.1080/02640414.2017.1321774.

Dubois-Reymond, R., 1905. Zum Physiologie des Schwimmens. Archive fur Anatomie und Physiologie (Abteilung Physiologie). XXIX, 252–279.

Clarys JP. Hydrodynamics and electromyography: ergonomics aspects in aquatics. Appl Ergon. 1985 Mar;16(1):11–24. doi: 10.1016/0003-6870(85)90143-7. PMID: 15676530.

Gatta G, Cortesi M, Zamparo P. The Relationship between Power Generated by Thrust and Power to Overcome Drag in Elite Short Distance Swimmers. PLoS One. 2016 Sep21;11(9):e0162387. doi: 10.1371/journal.pone.0162387. PMID: 27654992; PMCID: PMC5031421.

Scurati, R., Gatta, G., Michielon, G., and Cortesi, M. (2019). Techniques and considerations for monitoring swimmers’ passive drag. Journal of Sports Sciences, 37(10), 1168–1180.

Bixler, B., Pease, D., and Fairhurst, F. (2007). The accuracy of computational fluid dynamics analysis of the passive drag of a male swimmer. Sports Table 5. Biomechanics, 6(1), 81–98.

Narita, K., Nakashima, M., and Takagi, H. (n.d.). Title: Developing a methodology for estimating the drag in front-crawl swimming at various velocities.

Chatard, J. C., and Wilson, B. (2008). Effect of fastskin suits on performance, drag, and energy cost of swimming. Medicine and Science in Sports and Exercise, 40(6), 1149–1154. https:/doi.org/10.1249/MSS.0b013e318169387b.

Hay, J. G., and Carmo, J. (1995). Swimming techniques used in the flume differ from those used in a pool. Paper presented at the XV International Society of Biomechanics, Finland: Congress, Jyväskylä.

Wilson, B., Takagi, H., and Pease, D. (1998). Technique comparison of pool and flume swimming. Paper presented at the VIII International Symposium on Biomechanics and Medicine in Swimming,

Jyväskylä, Finland. Bilo, D., and Nachtigall, W. (1980). A simple method to determine drag coefficients in aquatic animals. In J. exp. Biol (Vol. 87).

Kjendlie, P. L., and Stallman, R. K. (2008). Drag characteristics of competitive swimming children and adults. Journal of Applied Biomechanics, 24(1), 35–42. https:/doi.org/10.1123/jab.24.1.35.

Mollendorf, J. C., Termin, A. C., Oppenheim, E., and Pendergast, D. R. (2004). Effect of swim suit design on passive drag. Medicine and Science in Sports and Exercise, 36(6), 1029–1035. https:/doi.org/10.1249/01.MSS.0000128179.02306.57.

Barbosa, T. M., Costa, M. J., Morais, J. E., Morouço, P., Moreira, M., Garrido, N. D., Marinho, D. A., and Silva, A. J. (2013). Characterization of speed fluctuation and drag force in young swimmers: A gender comparison. Human Movement Science, 32(6), 1214–1225. https:/doi.org/10.1016/j.humov.2012.07.009.

Takagi, H., Nakashima, M., Sato, Y., Matsuuchi, K., and Sanders, R. H. (2016). Numerical and experimental investigations of human swimming motions. In Journal of Sports Sciences (Vol. 34, Issue 16, pp. 1564–1580). Routledge. https:/doi.org/10.1080/02640414.2015.1123284.

von Loebbecke, A., Mittal, R., Fish, F., and Mark, R. (2009). Propulsive efficiency of the underwater dolphin kick in humans. Journal of Biomechanical Engineering, 131(5). https:/doi.org/10.1115/1.3116150.

von Loebbecke, A., Mittal, R., Mark, R., and Hahn, J. (2009). A computational method for analysis of underwater dolphin kick hydrodynamics in human swimming. Sports Biomechanics, 8(1), 60–77. https:/doi.org/10.1080/14763140802629982.

Döhler, J. E. (n.d.). An Analysis of the Immersed Boundary Surface Method in foam-extend. www.chalmers.se.

opensource. (2022). Foam-Extend-5.0.

S.V Patankar, D. B. S. (1972). A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer, 15(10), 1787–1806.

W. Malalasekera and H. Versteeg. An introduction to computational fluid dynamics: the finite volume method. Pearson Prentice Hall, 2007

B. Launder and D. Spalding. “The numerical computation of turbulent flows”. In: Computer Methods in Applied Mechanics and Engineering 3.2 (1974), pp. 269–289. issn: 0045-7825. doi: 10.1016/0045-7825(74) 90029-2. url: https:/www.sciencedirect.com/science/article/pii/0045782574900292.

F. Menter, M. Kuntz, and R. Langtry. “Ten years of industrial experience with the SST turbulence model”. In: Heat and Mass Transfer 4 (Jan. 2003).

Peskin CS. 1972. Flow patterns around heart valves: a digital computer method for solving the equations of motion. PhD thesis. Physiol., Albert Einstein Coll. Med., Univ. Microfilms. 378:72–30.

H. Jasak. “Immersed boundary surface method in foam-extend”. In: The 13th OpenFOAM Workshop (OFW13) (June 2018), pp. 55–59.

OpenFoam. (2016). Forces. OpenFOAM: User Guide V2112. https:/www.openfoam.com/documentation/guides/latest/doc/guide-fos-forces-forces.html.

1080 Motion. (n.d.). https:/1080motion.com/.(Conducted: January 2022)

codethislab. (2020). Male Animated Swimmer HQ 001 3D. Shutterstock.

Mathworks. (2022). MATLAB – findpeaks (No. R2022b). MathWorks Inc., USA.

Gonjo, T., and Olstad, B. H. (2022). Reliability of the active drag assessment using an isotonic resisted sprint protocol in human swimming. Scientific Reports, 12(1). https:/doi.org/10.1038/s41598-022-17415-5.

R Core Team. 2023. R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing. https:/www.R-project.org/.

Wickham, Hadley. 2023. Tidyverse: Easily Install and Load the Tidyverse. https:/CRAN.R-project.org/package=tidyverse.

Wickham, Hadley, Mara Averick, Jennifer Bryan, Winston Chang, Lucy D’Agostino McGowan, Romain François, Garrett Grolemund, et al. 2019. “Welcome to the tidyverse.” Journal of Open Source Software 4 (43): 1686. https:/doi.org/10.21105/joss.01686.

Schloerke, Barret, Di Cook, Joseph Larmarange, Francois Briatte, Moritz Marbach, Edwin Thoen, Amos Elberg, and Jason Crowley. 2021. GGally: Extension to Ggplot2. https:/CRAN.R-project.org/package=GGally.

Kassambara A (2023). rstatix: Pipe-Friendly Framework for Basic Statistical Tests. R package version 0.7.2,

https:/CRAN.R-project.org/package=rstatix>

.

Bates, Douglas, Martin Mächler, Ben Bolker, and Steve Walker. 2015. “Fitting Linear Mixed-Effects Models Using lme4.” Journal of Statistical Software 67 (1): 1–48. https:/doi.org/10.18637/jss.v067.i01.

Bates, Douglas, Martin Maechler, Ben Bolker, and Steven Walker. 2023. Lme4: Linear Mixed-Effects Models Using Eigen and S4. https:/github.com/lme4/lme4/.

Tom Roosendale. (2021). Blender.

Wang Q, Wang Z. Quantitative Analysis of Drag Force for Task-Specific Micromachine at Low Reynolds Numbers. Micromachines (Basel). 2022 Jul 18;13(7):1134. doi: 10.3390/mi13071134. PMID: 35888951; PMCID: PMC9317653.

Gatta, G., Cortesi, M., and di Michele, R. (2012). Power production of the lower limbs in flutter-kick swimming. Sports Biomechanics, 11(4), 480–491. https:/doi.org/10.1080/14763141.2012.670663.

Reading, B.D., Freeman, B., 2005. Simple formula for the surface area of the body and a simple model for anthropometry. Clinical Anatomy 18, 126–130. https:/doi.org/10.1002/ca.20047.

Cortesi M, Gatta G, Michielon G, Di Michele R, Bartolomei S, Scurati R. Passive Drag in Young Swimmers: Effects of Body Composition, Morphology and Gliding Position. Int J Environ Res Public Health. 2020 Mar 18;17(6):2002. doi: 10.3390/ijerph17062002. PMID: 32197399; PMCID: PMC7142561.

Panton, R., Incompressible Flow. 4th

edition, Published 2013.

Sheard, G. J., Hourigan, K., and Thompson, M. C. (2005). Computations of the drag coefficients for low-Reynolds-number flow past rings. Journal of Fluid Mechanics, 526, 257–275. https:/doi.org/10.1017/S0022112004002836.

Yuce, M. I., and Kareem, D. A. (2016). A numerical analysis of fluid flow around circular and square cylinders. Journal – American Water Works Association, 108(10), E546–E554. https:/doi.org/10.5942/jawwa.2016.108.0141.

Almedeij, Jaber. (2008). Drag Coefficient of Flow Around a Sphere: Matching Asymptotically the Wide Trend. Powder Technology - POWDER TECHNOL. 186. 218–223. 10.1016/j.powtec.2007.12.006.

Zaïdi, H., Fohanno, S., Taïar, R., and Polidori, G. (2010). Turbulence model choice for the calculation of drag forces when using the CFD method. Journal of Biomechanics, 43(3), 405–411. https:/doi.org/10.1016/j.jbiomech.2009.10.010.

Zhan, J. M., Li, T., Chen, X., Li, Y., and Wai, W. O. (2015). 3D numerical simulation analysis of passive drag near free surface in swimming. China Ocean Engineering, 29(2), 265–273.

Haskins, A., McCabe, C., Kennedy, R., McWade, R., Lennon, A. B., and Chandar, D. (2023). A novel method of determining the active drag profile in swimming via data manipulation of multiple tension force collection methods. Scientific Reports, 13(1). https:/doi.org/10.1038/s41598-023-37595-y.

Downloads

Published

2024-07-15

How to Cite

Haskins, A., McCabe, C., Keating, R., Lennon, A., & Chandar, D. (2024). Estimation of Passive Drag in Swimming via Experimental and Computational Means. European Journal of Computational Mechanics, 33(03), 255–294. https://doi.org/10.13052/ejcm2642-2085.3333

Issue

Section

UKACM 2023