Introducing a particular mathematical model for predicting the resistance and performance of prismatic planing hulls in calm water by means of total pressure distribution
DOI:
https://doi.org/10.3329/jname.v12i2.22351Keywords:
Planing hulls, Mathematical modeling, Resistance and performance, Hydrodynamic characteristics, Spray apexAbstract
Mathematical modeling of planing hulls and determination of their characteristics are the most important subjects in hydrodynamic study of planing vessels. In this paper, a new mathematical model has been developed based on pressure distribution. This model has been provided for two different situations: (1) for a situation in which all forces pass through the center of gravity and (2) for a situation in which forces don not necessarily pass through the center of gravity. Two algorithms have been designed for the governing equations. Computational results have been presented in the form of trim angle, total pressure, hydrodynamic and hydrostatic lift coefficients, spray apex and total resistance which includes frictional, spray and induced resistances. Accuracy of the model has been verified by comparing the numerical findings against the results of Savitsky's method and available experimental data. Good accuracy is displayed. Furthermore, effects of deadrise angle on trim angle of the craft, position of spray apex and resistance have been investigated.Downloads
369
335
References
Begovic and Bertorello (2012), Resistance Assessment of Warped hullform, Ocean Engineering, 56, 28-42.
Ghadimi P, Tavakoli S, Dashtimanesh A (2014), Developing a Computer Program for Detailed Study of Planing Hulls Spray Based on Morabitos Approach. Journal of Marine Science and Application. Accepted for Publication.
Ghadimi P, Tavakoli S, Dashtimanesh A, Djeddi SR (2013) Three mathematical investigation of hydrostatic and dyanamic pressure distribution on planing hulls. Journal of Computational Engineering, 2013, 1-13.
Kapryan WJ, Boyd GM (1955). Hydrodynamic pressure distribution obtained during a planing investigation of five related prismatic surfaces. Langley Aeronautical Laboratory, Hampton, Virginia, US, National Advisory Committee for Aeronautics TECHNICAL NOTE No. 3477.
Korvin-Kroukovsky BV, Savitsky, D, Lehman, WF, Wetted area and center of pressure of planing surfaces. Davidson Laboratory, Hoboken, NJ, US, Report No. 360.
Lock FWS (1933). Frictional resistance of planing surfaces. . Davidson Laboratory, Hoboken, NJ, US, Report No. 40.
Lock FWS (1948). Test of a flat bottom planing surface to determine the inception of planing. Navy Department, BuAer, Research Division, Report No. 1096.
Morabito MG, On the spray and bottom pressure of planing surfaces. Ph.D. thesis, Stevens Institute of Technology, Hoboken, NJ, US.
Payne PR (1982). The dynamic force on a two-dimensional planing plate of arbitrary camber. Ocean Engineering, 9(1). 47-66.
Pierson JD (1948). On the pressure distribution for a wedge penetrating a fluid surface. Davidson Laboratory, Hoboken, NJ, US, Report No. 336.
Pierson JD (1950) Study of flow, pressures, and loads pertaining to prismatic vee-planing Surfaces. Davidson Laboratory, Hoboken, NJ, US, Report No. 382.
Sambraus A (1938). Planing surfaces test at large Froud number. Washington DC , US, National Advisory Committee for Aeronautics TECHNICAL MEMORANDUMS No. 848.
Savitsky, D. (1964). Hydrodynamic design of planing hulls, Marine Technology, 1 (1), 71-95.
Savitsky D, DeLorme MF, Datla R, (2007). Inclusion of Whisker Spray in performance prediction method for high speed planing hulls, Marine Technology, 44 (1). 35-56.
Savitsjy D, Morabito MG (2011). Origin and characteristics of the spray patterns generated by planing hulls. Journal of ship production and Design, 27 (2), 63-83.
Smiley RF (1951). An experimental study of the water-pressure distributions during landing and planing of a heavily loaded rectangular flat-plate model. Langley Aeronautical Laboratory, Hampton, Virginia, US, National Advisory Committee for Aeronautics TECHNICAL NOTE No. 2583.
Sottorf W (1934). Experiments with planing surfaces. NACA Translation.
Tavakoli S, Ghadimi P, Dashtimanesh A, Djeddi SR, Mathematical modeling of longitudinal dynamic pressure distribution on planing hulls, Global Journal of Mathematical Analysis, 1 (2), 53-65.
von Karman T (1929). The Impact on seaplane floats during landing. National Advisory Committee for Aeronautics, TECHNICAL NOTES No. TN321.
Zarnick EE (1978). A non-linear mathematical model of motions of a planning boat in regular waves. David Taylor Naval Research and Development Center, Bethesda, MD, US, Technical Report No. DTNSRDC-78/032.
Zhao R, Faltinsen OM (1993). Water entry of arbitrary two-dimensional sections bodies. Journal of Fluid Mechanics, 246, 593-612.
Zhao R, Faltinsen OM, Haslum HA (1996). A Simplified nonlinear analysis of a high-Speed planing craft in calm water. 4th International Conference on Fast Sea Transportation, Sydney, Australia.
Downloads
Published
How to Cite
Issue
Section
License
Please download the Copyright Transfer Agreement and send it after duly filled in.
Link to FaceBook
