THE COMPLETE EXPRESSIONS FOR ADDED MASS OF A RIGID BODY MOVING IN AN IDEAL FLUID

Abstract

Expressions are given for the complete added mass effect for any rigid body moving in any manner in an ideal fluid. The expressions give the force and moment acting on the body in terms of 21 added mass derivatives. These derivatives are the maximum number that are independent for a Cartesian set of body axes. Reduced expressions are also given for a finned prolate spheroid with the origin of the body axes located at some point on the axis of revolution. Theoretical values of the added mass derivatives are given for an ellipsoid and a prolate spheroid when the reference axes are principal axes for an origin located at the center of the ellipsoid or spheroid. The added mass effect for a stationary body in an accelerating fluid is also described.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0263966

Entities

People

  • Frederick H. Imlay

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bodies
  • Buoyancy
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Flow
  • Geometry
  • Government Procurement
  • Hydromechanics
  • Kinetic Energy
  • Mathematics
  • Mechanics
  • Model Basins
  • Moment Of Inertia
  • Potential Flow
  • Pressure Gradients
  • Ship Model Basins

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.