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      Analysis of Cyclist’s Drag on the Aero Position Using Numerical Simulations and Analytical Procedures: A Case Study

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          Abstract

          Background: Resistance acting on a cyclist is a major concern among the cycling fraternity. Most of the testing methods require previous training or expensive equipment and time-consuming set-ups. By contrast, analytical procedures are more affordable and numerical simulations are perfect for manipulating and controlling inputs. The aim of this case study was to compare the drag of a cyclist in the aero position as measured using numerical simulation and analytical procedures. Methods: An elite male cyclist (65 kg in mass and 1.72 m in height) volunteered to take part in this research. The cyclist was wearing his competition gear, helmet and bicycle. A three-dimensional model of the bicycle and cyclist in the aero position was obtained to run the numerical simulations. Computational fluid dynamics (CFD) and a set of analytical procedures were carried out to assess drag, frontal area and drag coefficient, between 1 m/s and 22 m/s, with increments of 1 m/s. The t-test paired samples and linear regression were selected to compare, correlate and assess the methods agreement. Results: No significant differences ( t = 2.826; p = 0.275) between CFD and analytical procedures were found. The linear regression showed a very high adjustment for drag (R 2 = 0.995; p < 0.001). However, the drag values obtained by the analytical procedures seemed to be overestimated, even though without effect (d = 0.11). Conclusions: These findings suggest that drag might be assessed using both a set of analytical procedures and CFD.

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          Validation of a Mathematical Model for Road Cycling Power.

          This investigation sought to determine if cycling power could be accurately modeled. A mathematical model of cycling power was derived, and values for each model parameter were determined. A bicycle-mounted power measurement system was validated by comparison with a laboratory ergometer. Power was measured during road cycling, and the measured values were compared with the values predicted by the model. The measured values for power were highly correlated (R(2) = .97) with, and were not different than, the modeled values. The standard error between the modeled and measured power (2.7 W) was very small. The model was also used to estimate the effects of changes in several model parameters on cycling velocity. Over the range of parameter values evaluated, velocity varied linearly (R(2) > .99). The results demonstrated that cycling power can be accurately predicted by a mathematical model.
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            Torque and Power-Velocity Relationships in Cycling: Relevance to Track Sprint Performance in World-Class Cyclists

            The aims of the present study were both to describe anthropometrics and cycling power-velocity characteristics in top-level track sprinters, and to test the hypothesis that these variables would represent interesting predictors of the 200 m track sprint cycling performance. Twelve elite cyclists volunteered to perform a torque-velocity test on a calibrated cycle ergometer, after the measurement of their lean leg volume (LLV) and frontal surface area (A(p)), in order to draw torque- and power-velocity relationships, and to evaluate the maximal power (P(max)), and both the optimal pedalling rate (f(opt)) and torque (T(opt)) at which P (max) is reached. The 200 m performances--i.e. velocity (V200) and pedalling rate (f 200)--were measured during international events (REC) and in the 2002 French Track Cycling Championships (NAT). P(max), f(opt), and T(opt) were respectively 1600 +/- 116 W, 129.8 +/- 4.7 rpm and 118.5 +/- 9.8 N . m. P(max) was strongly correlated with T(opt) (p < 0.001), which was correlated with LLV (p < 0.01). V200 was related to P(max) normalized by A(p) (p < or = 0.05) and also to f(opt) (p < 0.01) for REC and NAT. f 200 (155.2 +/- 3, REC; 149 +/- 4.3, NAT) were significantly higher than f(opt) (p < 0.001). These findings demonstrated that, in this population of world-class track cyclists, the optimization of the ratio between P(max) and A(p) represents a key factor of 200 m performance. Concerning the major role also played by f(opt), it is assumed that, considering high values of f 200, sprinters with a high value of optimal pedalling rate (i.e. lower f200-f(opt) difference) could be theoretically in better conditions to maximize their power output during the race and hence performance.
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              CFD simulations of the aerodynamic drag of two drafting cyclists

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                Author and article information

                Journal
                Int J Environ Res Public Health
                Int J Environ Res Public Health
                ijerph
                International Journal of Environmental Research and Public Health
                MDPI
                1661-7827
                1660-4601
                14 May 2020
                May 2020
                : 17
                : 10
                : 3430
                Affiliations
                [1 ]Department of Sports, Higher Institute of Educational Sciences of the Douro, 4560-708 Penafiel, Portugal; morais.jorgestrela@ 123456gmail.com
                [2 ]Departamento de Desporto e Educação Física, Instituto Politécnico de Bragança, 5300-253 Bragança, Portugal; barbosa@ 123456ipb.pt
                [3 ]Research Center for Sports Health and Human Development, 6201-001 Covilhã, Portugal; marinho.d@ 123456gmail.com
                [4 ]Department of Sports Sciences, University of Beira Interior, 6201-001 Covilhã, Portugal
                [5 ]School of Health and Caring Sciences, University of West Attica, 12243 Athens, Greece; pademil@ 123456hotmail.com
                [6 ]Institute of Primary Care, University of Zurich, 8091 Zurich, Switzerland; beat.knechtle@ 123456hispeed.ch
                Author notes
                Author information
                https://orcid.org/0000-0003-0184-6780
                https://orcid.org/0000-0003-2351-3047
                https://orcid.org/0000-0001-8030-7122
                https://orcid.org/0000-0002-2412-9103
                https://orcid.org/0000-0001-7071-2116
                https://orcid.org/0000-0002-6885-0648
                Article
                ijerph-17-03430
                10.3390/ijerph17103430
                7277172
                32423103
                8272520c-2af1-44b5-979c-1ff50bbf1593
                © 2020 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 13 April 2020
                : 13 May 2020
                Categories
                Article

                Public health
                cycling,drag,comparison,cfd,analytical procedures
                Public health
                cycling, drag, comparison, cfd, analytical procedures

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