The Force and Moment on a Submerged Axisymmetric Body Moving near a Sinusoidal Wall. Course 13A.
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF OCEAN ENGINEERING
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The hydrodynamic force and yaw moment acting on a slender axisymmetric body are found for the case in which the body is moving along its axis with constant forward velocity parallel to a vertical wall. The fluid is assumed to be inviscid and incompressible. This thesis considers first the situation of a body near a flat wall using the method of images. The body and its image are modeled using a continuous line distribution of sources and doublets the dipole distribution is used to account for velocities induced on each body by its image. Next, the case of a body running parallel to the mean position of a wall varying sinusoidally in the longitudinal direction is analyzed. The interaction between the sinusoidal wall and body is modeled using a large axisymmetric body in proximity of a smaller body. The transverse force and moment on a body near each type of wall are determined using two different methods Lagallys theorem and segmented theory. Lagallys theorem is used to find the axial force on a body near a sinusoidal wall. Computer programs and calculated results are presented for an unappended modern submarine hull form in the vicinity of both types of walls.
- Numerical Mathematics
- Submarine Engineering
- Fluid Mechanics