TY - GEN
T1 - Hydrodynamics of Orthotropic Shapes Utilizing Ellipsoidal Harmonics
AU - Chatjigeorgiou, Ioannis K.
AU - Dassios, George
AU - Miloh, Touvia
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2016/3/2
Y1 - 2016/3/2
N2 - Hydrodynamics (inviscid fluid and irrotational flow) of rigid bodies with three mutually perpendicular plans of symmetry (orthotropic shapes) moving in confined media (wall, channel etc.) is analyzed by applying Lamé's functions and ellipsoidal harmonics. Towards this goal, a general numerical scheme for computing ellipsoidal harmonics of arbitrary order and degree is presented. In order to demonstrate the versatility of the method, which maybe is useful in many practical applications in mathematical physics, we chose to analytically address here the case of a tri-axial rigid ellipsoidal vessel moving steadily near a rigid wall or along the center of a two-dimensional channel. Free-surface effects are ignored and we are mainly interested in determining the dependence of the hydrodynamic added-mass coefficient and the asymmetric pressure (suction) force exerted on the body due to external flow disturbances such as nearby planar boundaries or flow producing mechanisms (singularities) simulating for example a propulsive system.
AB - Hydrodynamics (inviscid fluid and irrotational flow) of rigid bodies with three mutually perpendicular plans of symmetry (orthotropic shapes) moving in confined media (wall, channel etc.) is analyzed by applying Lamé's functions and ellipsoidal harmonics. Towards this goal, a general numerical scheme for computing ellipsoidal harmonics of arbitrary order and degree is presented. In order to demonstrate the versatility of the method, which maybe is useful in many practical applications in mathematical physics, we chose to analytically address here the case of a tri-axial rigid ellipsoidal vessel moving steadily near a rigid wall or along the center of a two-dimensional channel. Free-surface effects are ignored and we are mainly interested in determining the dependence of the hydrodynamic added-mass coefficient and the asymmetric pressure (suction) force exerted on the body due to external flow disturbances such as nearby planar boundaries or flow producing mechanisms (singularities) simulating for example a propulsive system.
KW - Ellipsoids
KW - Lamé functions
KW - added mass
KW - attraction force
KW - ellipsoidal harmonics
KW - hydrodynamics
UR - http://www.scopus.com/inward/record.url?scp=84964692115&partnerID=8YFLogxK
U2 - 10.1109/MCSI.2015.36
DO - 10.1109/MCSI.2015.36
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AN - SCOPUS:84964692115
T3 - Proceedings - 2015 2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015
SP - 212
EP - 224
BT - Proceedings - 2015 2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015
Y2 - 17 August 2015 through 19 August 2015
ER -