Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft
Hydrodynamic performance is an essential factor in the design of a watercraft, and the navigation scenario determines the complexity of its operation. This study aims to identify the effect of speed and length on the hydrodynamic behavior of a semi-planing watercraft in shallow waters. A computation...
- Autores:
-
Leal Ruiz, Luis Daniel
Camargo Díaz, Clara Paola
Paipa Sanabria, Edwin
Castro Faccetti, Claudia Fernanda
Candelo Becerra, John Edwin
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2023
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/13553
- Acceso en línea:
- https://hdl.handle.net/11323/13553
https://repositorio.cuc.edu.co/
- Palabra clave:
- Shallow-draft watercraft
Computational fluid dynamics
Trim
Heave
Speed
Shallow-water navigation
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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| dc.title.eng.fl_str_mv |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| title |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| spellingShingle |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft Shallow-draft watercraft Computational fluid dynamics Trim Heave Speed Shallow-water navigation |
| title_short |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| title_full |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| title_fullStr |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| title_full_unstemmed |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| title_sort |
Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraft |
| dc.creator.fl_str_mv |
Leal Ruiz, Luis Daniel Camargo Díaz, Clara Paola Paipa Sanabria, Edwin Castro Faccetti, Claudia Fernanda Candelo Becerra, John Edwin |
| dc.contributor.author.none.fl_str_mv |
Leal Ruiz, Luis Daniel Camargo Díaz, Clara Paola Paipa Sanabria, Edwin Castro Faccetti, Claudia Fernanda Candelo Becerra, John Edwin |
| dc.subject.proposal.eng.fl_str_mv |
Shallow-draft watercraft Computational fluid dynamics Trim Heave Speed Shallow-water navigation |
| topic |
Shallow-draft watercraft Computational fluid dynamics Trim Heave Speed Shallow-water navigation |
| description |
Hydrodynamic performance is an essential factor in the design of a watercraft, and the navigation scenario determines the complexity of its operation. This study aims to identify the effect of speed and length on the hydrodynamic behavior of a semi-planing watercraft in shallow waters. A computational fluid dynamics tool was employed to predict the trim, heave, and resistance parameters of two different hulls: a base hull and a craft with an increased hull length. The two hulls had similar hydrodynamic characteristics. The effects of speed and hull length on these predicted parameters obtained for the two hulls were compared. The results showed a low resistance uncertainty and a reduction in dynamic trim for longer hull lengths. These findings highlight the importance of considering balance and dynamic trim in designing shallow-draft watercrafts to ensure an optimal performance in specific conditions, such as rivers with depth restrictions. |
| publishDate |
2023 |
| dc.date.issued.none.fl_str_mv |
2023-12-08 |
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2024-10-26T18:04:32Z |
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2024-10-26T18:04:32Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Camargo-Díaz, C.P.; Paipa-Sanabria, E.; Castro-Faccetti, C.; Candelo-Becerra, J.E. Effect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft. J. Mar. Sci. Eng. 2023, 11, 2328. https://doi.org/10.3390/jmse11122328 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/11323/13553 |
| dc.identifier.doi.none.fl_str_mv |
10.3390/jmse11122328 |
| dc.identifier.eissn.none.fl_str_mv |
2077-1312 |
| dc.identifier.instname.none.fl_str_mv |
Corporación Universidad de la Costa |
| dc.identifier.reponame.none.fl_str_mv |
REDICUC - Repositorio CUC |
| dc.identifier.repourl.none.fl_str_mv |
https://repositorio.cuc.edu.co/ |
| identifier_str_mv |
Camargo-Díaz, C.P.; Paipa-Sanabria, E.; Castro-Faccetti, C.; Candelo-Becerra, J.E. Effect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft. J. Mar. Sci. Eng. 2023, 11, 2328. https://doi.org/10.3390/jmse11122328 10.3390/jmse11122328 2077-1312 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
| url |
https://hdl.handle.net/11323/13553 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournal.none.fl_str_mv |
Journal of Marine Science and Engineering |
| dc.relation.references.none.fl_str_mv |
1. Camargo-Díaz, C.P.; Paipa-Sanabria, E.; Zapata-Cortes, J.A.; Briceño-Chaves, A.M.; Serna-Castaño, C.F. Review of Financing Mechanisms to Promote Decarbonization Alternatives in Rail and Inland Waterway Transport. Sustain. Sci. Pract. Policy 2023, 15, 966. [CrossRef] 2. Wiegmans, B.; Konings, R. Inland Waterway Transport: Challenges and Prospects; Routledge: London, UK, 2016; ISBN 978-1-31757-566-5. 3. De Barros, B.R.C.; De Carvalho, E.B.; Brasil Junior, A.C.P. Inland Waterway Transport and the 2030 Agenda: Taxonomy of Sustainability Issues. Clean. Eng. Technol. 2022, 8, 100462. [CrossRef] 4. Hernández, A.E.; Macías, H.A. Los Intereses Nacionales Marítimos y Fluviales En Colombia. In Identidad e Intereses Nacionales de Colombia; Pastrana Buelvas, E., Reith, S., Cabrera Ortiz, F., Eds.; Fundación Konrad Adenauer y Escuela Superior de Guerra: Buenos Aires, Argentina, 2020; pp. 403–434. 5. Ministerio de Transporte. Plan Maestro Fluvial de Colombia 2015; Ministerio de Transporte: Bogotá, Colombia, 2015. 6. Schweighofer, J. The Impact of Extreme Weather and Climate Change on Inland Waterway Transport. Nat. Hazards 2014, 72, 23–40. [CrossRef] 7. Pedersen, P.T. Review and Application of Ship Collision and Grounding Analysis Procedures. Mar. Struct. 2010, 23, 241–262. [CrossRef] 8. Prakash, M.N.S.; Chandra, B. Numerical Estimation of Shallow Water Resistance of a River-Sea Ship Using CFD. Int. J. Comput. Appl. 2013, 71, 33–40. 9. Alvarado, D.; Flores, E.; Paipa, E. Design and Validation by the Finite Element Method of the Structural Arrangement of a Riverine Low Draft Combat Boat. Ship Sci. Technol. 2021, 15, 21–35. [CrossRef] 10. Campbell, R.; Terziev, M.; Tezdogan, T.; Incecik, A. Computational Fluid Dynamics Predictions of Draught and Trim Variations on Ship Resistance in Confined Waters. Appl. Ocean Res. 2022, 126, 103301. [CrossRef] 11. Du, P.; Ouahsine, A.; Sergent, P.; Hu, H. Resistance and Wave Characterizations of Inland Vessels in the Fully-Confined Waterway. Ocean Eng. 2020, 210, 107580. [CrossRef] 12. Mucha, P.; El Moctar, O.; Dettmann, T.; Tenzer, M. An Experimental Study on the Effect of Confined Water on Resistance and Propulsion of an Inland Waterway Ship. Ocean Eng. 2018, 167, 11–22. [CrossRef] 13. Gómez Franco, A.; Montes Galván, O. Cálculos de Estabilidad de una Embarcación Rápida a Grandes Velocidades; Universitat Politècnica de Catalunya, Facultat de Nàutica de Barcelona, Departament de Ciència i Enginyeria Nàutiques: Barcelona, Spain, 2011; Enginyeria Tècnica Naval, especialitat en Propulsió i Serveis del Vaixell. 14. Faltinsen, O.M. Hydrodynamics of High-Speed Marine Vehicles; Cambridge University Press: Cambridge, MA, USA, 2006; ISBN 978- 0-52184-568-7. 15. Barrass, C.B. (Ed.) Chapter 17—Ship Squat in Open Water and in Confined Channels. In Ship Design and Performance for Masters and Mates; Butterworth-Heinemann: Oxford, UK, 2004; pp. 148–163. ISBN 978-0-75066-000-6. 16. Eloot, K.; Verwilligen, J.; Vantorre, M. An Overview of Squat Measurements for Container Ships in Restricted Water. In Proceedings of the International Conference on Safety and Operations in Canals and Waterways SOCW, Glasgow, UK, 15–16 September 2008; pp. 15–16. 17. Morabito, M.G. Re-Analysis of Series 50 Tests of V-Bottom Motor Boats. In Proceedings of the SNAME Maritime Convention, Bellevue, WA, USA, 13 November 2013. 18. Drouet, A.; Sergent, P.; Causeur, D.; Corrignan, P. Trim Optimisation in Waves. In Proceedings of the VII International Conference on Computational Methods in Marine Engineering, Nantes, France, 15–17 May 2017. 19. Tran, T.G.; Van Huynh, Q.; Kim, H.C. Optimization Strategy for Planing Hull Design. Int. J. Nav. Archit. Ocean Eng. 2022, 14, 100471. [CrossRef] 20. Marti´c, I.; Degiuli, N.; Borˇci´c, K.; Grlj, C.G. Numerical Assessment of the Resistance of a Solar Catamaran in Shallow Water. J. Mar. Sci. Eng. 2023, 11, 1706. [CrossRef] 21. Samuel, S.; Mursid, O.; Yulianti, S.; Kiryanto, K.; Iqbal, M. Evaluation of Interceptor Design to Reduce Drag on Planing Hull. Brodogradnja 2022, 73, 93–110. [CrossRef] 22. Suneela, J.; Sahoo, P. Numerical Investigation of Interceptor Effect on Sea Keeping Behaviour of Planing Hull Advancing in Regular Head Waves. Brodogradnja 2021, 72, 73–92. [CrossRef] 23. Degiuli, N.; Farkas, A.; Marti´c, I.; Zeman, I.; Ruggiero, V.; Vasiljevi´c, V. Vienna model basin LTD Numerical and Experimental Assessment of the Total Resistance of a Yacht. Brodogradnja 2021, 72, 61–80. [CrossRef] 24. Shih, T.-H.; Liou, W.W.; Shabbir, A.; Yang, Z.; Zhu, J. A New K-Epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation. Comput. Fluids 1994, 24, 227–238. [CrossRef] 25. ITTC. Quality Manual 7.5-03-01-01: CFD General—Uncertainty Analysis in CFD Verification and Validation Methodology and Procedures. In Proceedings of the International Towing Tank Conference (ITTC), Zürich, Switzerland, 4 October 2017. 26. Savitsky, D. Hydrodynamic Design of Planing Hulls. Mar. Technol. SNAME News 1964, 1, 71–95. [CrossRef] 27. Niazmand Bilandi, R.; Dashtimanesh, A.; Mancini, S.; Vitiello, L. Comparative Study of Experimental and CFD Results for Stepped Planing Hulls. Ocean Eng. 2023, 280, 114887. [CrossRef] 28. Suneela, J.; Krishnankutty, P.; Subramanian, V.A. Hydrodynamic Performance of Planing Craft with Interceptor-Flap Hybrid Combination. J. Ocean Eng. Mar. Energy 2021, 7, 421–438. [CrossRef] 29. ITTC. Recommended Procedures and Guidelines: Practical Guidelines for Ship CFD Applications. In Proceedings of the International Towing Tank Conference (ITTC), Rio de Janeiro, Brazil, 28 August–3 September 2011. 30. Leal, L.; Flores, E.; Fuentes, D.; Verma, B. Hydrodynamic Study of the Influence of Bulbous Bow Design for an Offshore Patrol Vessel Using Computational Fluid Dynamics. Ship Sci. Technol. 2018, 11, 29. [CrossRef] 31. García, M.; Leal, L.; Verma, B.; Ruiz, N. Numerical Study for the Estimation of the Hydrodynamic Coefficients of Current Drag in Port Assistance Maneuvers (Dock) for the Colombian Navy Frigates by Means of CFD. Xiandai Shipin Keji 2022, 16, 35–42. 32. Nagai, T.; Yoshida, Y. Minimum Resistance Hull Form of Planing Craft With Controlled Trim Angle. In Proceedings of the Sixth International Offshore and Polar Engineering Conference, Los Angeles, CA, USA, 26–31 May 1996. 33. Le, T.-H.; Vu, M.T.; Bich, V.N.; Phuong, N.K.; Ha, N.T.H.; Chuan, T.Q.; Tu, T.N. Numerical Investigation on the Effect of Trim on Ship Resistance by RANSE Method. Appl. Ocean Res. 2021, 111, 102642. [CrossRef] 34. Sheingart, Z. Hydrodynamics of High Speed Planing Hulls with Partially Ventilated Bottom and Hydrofoils; Massachusetts Institute of Technology, Department of Mechanical Engineering: Cambridge, MA, USA, 2014. |
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Atribución 4.0 Internacional (CC BY 4.0) |
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Atribución 4.0 Internacional (CC BY 4.0)© 2023 by the authors. Licensee MDPI, Basel, Switzerlandhttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Leal Ruiz, Luis DanielCamargo Díaz, Clara PaolaPaipa Sanabria, Edwinvirtual::60-1Castro Faccetti, Claudia FernandaCandelo Becerra, John Edwin2024-10-26T18:04:32Z2024-10-26T18:04:32Z2023-12-08Camargo-Díaz, C.P.; Paipa-Sanabria, E.; Castro-Faccetti, C.; Candelo-Becerra, J.E. Effect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft. J. Mar. Sci. Eng. 2023, 11, 2328. https://doi.org/10.3390/jmse11122328https://hdl.handle.net/11323/1355310.3390/jmse111223282077-1312Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Hydrodynamic performance is an essential factor in the design of a watercraft, and the navigation scenario determines the complexity of its operation. This study aims to identify the effect of speed and length on the hydrodynamic behavior of a semi-planing watercraft in shallow waters. A computational fluid dynamics tool was employed to predict the trim, heave, and resistance parameters of two different hulls: a base hull and a craft with an increased hull length. The two hulls had similar hydrodynamic characteristics. The effects of speed and hull length on these predicted parameters obtained for the two hulls were compared. The results showed a low resistance uncertainty and a reduction in dynamic trim for longer hull lengths. These findings highlight the importance of considering balance and dynamic trim in designing shallow-draft watercrafts to ensure an optimal performance in specific conditions, such as rivers with depth restrictions.17 páginasapplication/pdfengMultidisciplinary Digital Publishing Institute (MDPI)Switzerlandhttps://www.mdpi.com/2077-1312/11/12/2328Effect of speed and hull length on the hydrodynamic performance of a semi-planing hull of a shallow-draft watercraftArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Journal of Marine Science and Engineering1. Camargo-Díaz, C.P.; Paipa-Sanabria, E.; Zapata-Cortes, J.A.; Briceño-Chaves, A.M.; Serna-Castaño, C.F. Review of Financing Mechanisms to Promote Decarbonization Alternatives in Rail and Inland Waterway Transport. Sustain. Sci. Pract. Policy 2023, 15, 966. [CrossRef]2. Wiegmans, B.; Konings, R. Inland Waterway Transport: Challenges and Prospects; Routledge: London, UK, 2016; ISBN 978-1-31757-566-5.3. De Barros, B.R.C.; De Carvalho, E.B.; Brasil Junior, A.C.P. Inland Waterway Transport and the 2030 Agenda: Taxonomy of Sustainability Issues. Clean. Eng. Technol. 2022, 8, 100462. [CrossRef]4. Hernández, A.E.; Macías, H.A. Los Intereses Nacionales Marítimos y Fluviales En Colombia. In Identidad e Intereses Nacionales de Colombia; Pastrana Buelvas, E., Reith, S., Cabrera Ortiz, F., Eds.; Fundación Konrad Adenauer y Escuela Superior de Guerra: Buenos Aires, Argentina, 2020; pp. 403–434.5. Ministerio de Transporte. Plan Maestro Fluvial de Colombia 2015; Ministerio de Transporte: Bogotá, Colombia, 2015.6. Schweighofer, J. The Impact of Extreme Weather and Climate Change on Inland Waterway Transport. Nat. Hazards 2014, 72, 23–40. [CrossRef]7. Pedersen, P.T. Review and Application of Ship Collision and Grounding Analysis Procedures. Mar. Struct. 2010, 23, 241–262. [CrossRef]8. Prakash, M.N.S.; Chandra, B. Numerical Estimation of Shallow Water Resistance of a River-Sea Ship Using CFD. Int. J. Comput. Appl. 2013, 71, 33–40.9. Alvarado, D.; Flores, E.; Paipa, E. Design and Validation by the Finite Element Method of the Structural Arrangement of a Riverine Low Draft Combat Boat. Ship Sci. Technol. 2021, 15, 21–35. [CrossRef]10. Campbell, R.; Terziev, M.; Tezdogan, T.; Incecik, A. Computational Fluid Dynamics Predictions of Draught and Trim Variations on Ship Resistance in Confined Waters. Appl. Ocean Res. 2022, 126, 103301. [CrossRef]11. Du, P.; Ouahsine, A.; Sergent, P.; Hu, H. Resistance and Wave Characterizations of Inland Vessels in the Fully-Confined Waterway. Ocean Eng. 2020, 210, 107580. [CrossRef]12. Mucha, P.; El Moctar, O.; Dettmann, T.; Tenzer, M. An Experimental Study on the Effect of Confined Water on Resistance and Propulsion of an Inland Waterway Ship. Ocean Eng. 2018, 167, 11–22. [CrossRef]13. Gómez Franco, A.; Montes Galván, O. Cálculos de Estabilidad de una Embarcación Rápida a Grandes Velocidades; Universitat Politècnica de Catalunya, Facultat de Nàutica de Barcelona, Departament de Ciència i Enginyeria Nàutiques: Barcelona, Spain, 2011; Enginyeria Tècnica Naval, especialitat en Propulsió i Serveis del Vaixell.14. Faltinsen, O.M. Hydrodynamics of High-Speed Marine Vehicles; Cambridge University Press: Cambridge, MA, USA, 2006; ISBN 978- 0-52184-568-7.15. Barrass, C.B. (Ed.) Chapter 17—Ship Squat in Open Water and in Confined Channels. In Ship Design and Performance for Masters and Mates; Butterworth-Heinemann: Oxford, UK, 2004; pp. 148–163. ISBN 978-0-75066-000-6.16. Eloot, K.; Verwilligen, J.; Vantorre, M. An Overview of Squat Measurements for Container Ships in Restricted Water. In Proceedings of the International Conference on Safety and Operations in Canals and Waterways SOCW, Glasgow, UK, 15–16 September 2008; pp. 15–16.17. Morabito, M.G. Re-Analysis of Series 50 Tests of V-Bottom Motor Boats. In Proceedings of the SNAME Maritime Convention, Bellevue, WA, USA, 13 November 2013.18. Drouet, A.; Sergent, P.; Causeur, D.; Corrignan, P. Trim Optimisation in Waves. In Proceedings of the VII International Conference on Computational Methods in Marine Engineering, Nantes, France, 15–17 May 2017.19. Tran, T.G.; Van Huynh, Q.; Kim, H.C. Optimization Strategy for Planing Hull Design. Int. J. Nav. Archit. Ocean Eng. 2022, 14, 100471. [CrossRef]20. Marti´c, I.; Degiuli, N.; Borˇci´c, K.; Grlj, C.G. Numerical Assessment of the Resistance of a Solar Catamaran in Shallow Water. J. Mar. Sci. Eng. 2023, 11, 1706. [CrossRef]21. Samuel, S.; Mursid, O.; Yulianti, S.; Kiryanto, K.; Iqbal, M. Evaluation of Interceptor Design to Reduce Drag on Planing Hull. Brodogradnja 2022, 73, 93–110. [CrossRef]22. Suneela, J.; Sahoo, P. Numerical Investigation of Interceptor Effect on Sea Keeping Behaviour of Planing Hull Advancing in Regular Head Waves. Brodogradnja 2021, 72, 73–92. [CrossRef]23. Degiuli, N.; Farkas, A.; Marti´c, I.; Zeman, I.; Ruggiero, V.; Vasiljevi´c, V. Vienna model basin LTD Numerical and Experimental Assessment of the Total Resistance of a Yacht. Brodogradnja 2021, 72, 61–80. [CrossRef]24. Shih, T.-H.; Liou, W.W.; Shabbir, A.; Yang, Z.; Zhu, J. A New K-Epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation. Comput. Fluids 1994, 24, 227–238. [CrossRef]25. ITTC. Quality Manual 7.5-03-01-01: CFD General—Uncertainty Analysis in CFD Verification and Validation Methodology and Procedures. In Proceedings of the International Towing Tank Conference (ITTC), Zürich, Switzerland, 4 October 2017.26. Savitsky, D. Hydrodynamic Design of Planing Hulls. Mar. Technol. SNAME News 1964, 1, 71–95. [CrossRef]27. Niazmand Bilandi, R.; Dashtimanesh, A.; Mancini, S.; Vitiello, L. Comparative Study of Experimental and CFD Results for Stepped Planing Hulls. Ocean Eng. 2023, 280, 114887. [CrossRef]28. Suneela, J.; Krishnankutty, P.; Subramanian, V.A. Hydrodynamic Performance of Planing Craft with Interceptor-Flap Hybrid Combination. J. Ocean Eng. Mar. Energy 2021, 7, 421–438. [CrossRef]29. ITTC. Recommended Procedures and Guidelines: Practical Guidelines for Ship CFD Applications. In Proceedings of the International Towing Tank Conference (ITTC), Rio de Janeiro, Brazil, 28 August–3 September 2011.30. Leal, L.; Flores, E.; Fuentes, D.; Verma, B. Hydrodynamic Study of the Influence of Bulbous Bow Design for an Offshore Patrol Vessel Using Computational Fluid Dynamics. Ship Sci. Technol. 2018, 11, 29. [CrossRef]31. García, M.; Leal, L.; Verma, B.; Ruiz, N. Numerical Study for the Estimation of the Hydrodynamic Coefficients of Current Drag in Port Assistance Maneuvers (Dock) for the Colombian Navy Frigates by Means of CFD. Xiandai Shipin Keji 2022, 16, 35–42.32. Nagai, T.; Yoshida, Y. Minimum Resistance Hull Form of Planing Craft With Controlled Trim Angle. In Proceedings of the Sixth International Offshore and Polar Engineering Conference, Los Angeles, CA, USA, 26–31 May 1996.33. Le, T.-H.; Vu, M.T.; Bich, V.N.; Phuong, N.K.; Ha, N.T.H.; Chuan, T.Q.; Tu, T.N. Numerical Investigation on the Effect of Trim on Ship Resistance by RANSE Method. Appl. Ocean Res. 2021, 111, 102642. [CrossRef]34. Sheingart, Z. Hydrodynamics of High Speed Planing Hulls with Partially Ventilated Bottom and Hydrofoils; Massachusetts Institute of Technology, Department of Mechanical Engineering: Cambridge, MA, USA, 2014.1711211Shallow-draft watercraftComputational fluid dynamicsTrimHeaveSpeedShallow-water navigationPublication17f00dfd-988f-4603-903c-d9256f2715f5cf83f020-0766-4104-a1fd-4564b8effacfvirtual::60-130edfe70-6bed-4f7e-a4cc-63fd3ae238377fae1d08-61f3-4c79-ab12-ddd559af3a19cf83f020-0766-4104-a1fd-4564b8effacfvirtual::60-1https://scholar.google.com/citations?user=APoJcbkAAAAJ&hl=es0000-0002-5423-86770000-0003-0697-64960000-0002-7723-007Xvirtual::60-10000-0002-9784-9494ORIGINALEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdfEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdfapplication/pdf4347336https://repositorio.cuc.edu.co/bitstreams/c630e06a-e0d5-4753-8245-6ece90144321/download5215c6ab57d9aa71869df5394b8d3a71MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-815543https://repositorio.cuc.edu.co/bitstreams/0d069691-8b6f-428b-87d3-d78bd3f084d0/download73a5432e0b76442b22b026844140d683MD52TEXTEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdf.txtEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdf.txtExtracted texttext/plain70800https://repositorio.cuc.edu.co/bitstreams/0efb89aa-b449-438a-be18-8058f41fccc8/downloadd2bb41f7df7c8dfdc4aef4e18cdbb673MD53THUMBNAILEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdf.jpgEffect of Speed and Hull Length on the Hydrodynamic Performance of a Semi-Planing Hull of a Shallow-Draft Watercraft.pdf.jpgGenerated Thumbnailimage/jpeg15511https://repositorio.cuc.edu.co/bitstreams/463ac5eb-3a89-4f73-9438-826bf1cf8696/downloadba487cf4142f4a8b63767b1de39ae862MD5411323/13553oai:repositorio.cuc.edu.co:11323/135532025-02-25 19:52:52.461https://creativecommons.org/licenses/by/4.0/© 2023 by the authors. Licensee MDPI, Basel, Switzerlandopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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