{"title":"调查建议翼型几何形状在低雷诺数","authors":"Khaled M.K. Pasha , M.M. Elfawal","doi":"10.1016/j.jksues.2021.11.001","DOIUrl":null,"url":null,"abstract":"<div><div>Many “suggested” airfoil geometries, that have the same chord length, are investigated. Each geometry is checked at two attack angel values, α, that equal 0° and 30°, and at values of Reynolds number, Re, that equal 822000, 1232300, 1643000, 2054000, and 2465000. The results of the lift and drag coefficients, C<sub>L</sub> and CD, are compared with those of the standard airfoil N6409. The airfoil geometry which consists mainly of two intersecting circular arcs exhibited relatively higher C<sub>L</sub> values. The performance of this airfoil was found to be considerably affected by the two non-dimensional radii of curvature, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span>. So, fifteen cases of this promising geometry were tested with different values of, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> and with the different values of Re mentioned above. The results showed that, although the C<sub>L</sub> values were higher than those of the N6409 airfoil, but the C<sub>D</sub> values were large too. The case whose, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> equal 0.56 and 0.83 respectively, exhibited the highest C<sub>L</sub> values for all Re and α values. To validate the results of this geometry, it was tested experimentally and numerically at α = 0, 5, 10, 15, 20, 30, and both the numerical and experimental results were in an acceptable agreement. This geometry is suitable for the wind turbine applications. Four correlations were suggested to relate the C<sub>L</sub> and C<sub>D</sub> to Re, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> for α = 0° and α = 30°. When testing these correlations, the maximum deviations of the calculated C<sub>L</sub> and C<sub>D</sub> values from those of the numerical and experimental results were within the range from 9 to 13%.</div></div>","PeriodicalId":35558,"journal":{"name":"Journal of King Saud University, Engineering Sciences","volume":"35 8","pages":"Pages 557-565"},"PeriodicalIF":0.0000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Investigating suggested airfoil geometries at air velocities that are within the natural wind speeds\",\"authors\":\"Khaled M.K. Pasha , M.M. Elfawal\",\"doi\":\"10.1016/j.jksues.2021.11.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Many “suggested” airfoil geometries, that have the same chord length, are investigated. Each geometry is checked at two attack angel values, α, that equal 0° and 30°, and at values of Reynolds number, Re, that equal 822000, 1232300, 1643000, 2054000, and 2465000. The results of the lift and drag coefficients, C<sub>L</sub> and CD, are compared with those of the standard airfoil N6409. The airfoil geometry which consists mainly of two intersecting circular arcs exhibited relatively higher C<sub>L</sub> values. The performance of this airfoil was found to be considerably affected by the two non-dimensional radii of curvature, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span>. So, fifteen cases of this promising geometry were tested with different values of, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> and with the different values of Re mentioned above. The results showed that, although the C<sub>L</sub> values were higher than those of the N6409 airfoil, but the C<sub>D</sub> values were large too. The case whose, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> equal 0.56 and 0.83 respectively, exhibited the highest C<sub>L</sub> values for all Re and α values. To validate the results of this geometry, it was tested experimentally and numerically at α = 0, 5, 10, 15, 20, 30, and both the numerical and experimental results were in an acceptable agreement. This geometry is suitable for the wind turbine applications. Four correlations were suggested to relate the C<sub>L</sub> and C<sub>D</sub> to Re, <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>1</mn></msub></mrow></math></span> and <span><math><mrow><msub><mover><mi>R</mi><mo>^</mo></mover><mn>2</mn></msub></mrow></math></span> for α = 0° and α = 30°. When testing these correlations, the maximum deviations of the calculated C<sub>L</sub> and C<sub>D</sub> values from those of the numerical and experimental results were within the range from 9 to 13%.</div></div>\",\"PeriodicalId\":35558,\"journal\":{\"name\":\"Journal of King Saud University, Engineering Sciences\",\"volume\":\"35 8\",\"pages\":\"Pages 557-565\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of King Saud University, Engineering Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1018363921001501\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Chemical Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of King Saud University, Engineering Sciences","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1018363921001501","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Chemical Engineering","Score":null,"Total":0}
Investigating suggested airfoil geometries at air velocities that are within the natural wind speeds
Many “suggested” airfoil geometries, that have the same chord length, are investigated. Each geometry is checked at two attack angel values, α, that equal 0° and 30°, and at values of Reynolds number, Re, that equal 822000, 1232300, 1643000, 2054000, and 2465000. The results of the lift and drag coefficients, CL and CD, are compared with those of the standard airfoil N6409. The airfoil geometry which consists mainly of two intersecting circular arcs exhibited relatively higher CL values. The performance of this airfoil was found to be considerably affected by the two non-dimensional radii of curvature, and . So, fifteen cases of this promising geometry were tested with different values of, and and with the different values of Re mentioned above. The results showed that, although the CL values were higher than those of the N6409 airfoil, but the CD values were large too. The case whose, and equal 0.56 and 0.83 respectively, exhibited the highest CL values for all Re and α values. To validate the results of this geometry, it was tested experimentally and numerically at α = 0, 5, 10, 15, 20, 30, and both the numerical and experimental results were in an acceptable agreement. This geometry is suitable for the wind turbine applications. Four correlations were suggested to relate the CL and CD to Re, and for α = 0° and α = 30°. When testing these correlations, the maximum deviations of the calculated CL and CD values from those of the numerical and experimental results were within the range from 9 to 13%.
期刊介绍:
Journal of King Saud University - Engineering Sciences (JKSUES) is a peer-reviewed journal published quarterly. It is hosted and published by Elsevier B.V. on behalf of King Saud University. JKSUES is devoted to a wide range of sub-fields in the Engineering Sciences and JKSUES welcome articles of interdisciplinary nature.