added-mass-coefficients-potential-flowlisted

Use when you must determine the added-mass-coefficients-potential-flow virtual mass (apparent mass) of a body accelerating through an inviscid irrotational fluid from the kinetic energy of the irrotational flow it sets up: the 2-D circular cylinder rho pi R^2 and normal flat plate rho pi a^2 per unit span, the 3-D sphere two-thirds rho pi R^3, the elliptic cylinder and the prolate and oblate spheroid coefficients, plus the kinetic-energy and acceleration-reaction relations. Produces the added mass of the requested shape, its ratio to the displaced fluid mass, the fluid kinetic energy at a translation speed, the virtual mass with the body mass, and the acceleration-reaction force for the fluid inertia of unsteady motion. Trigger: added mass coefficients, virtual mass, apparent mass, acceleration reaction force, kinetic energy of irrotational flow, body accelerating in fluid, airship hull added mass, ditching float added mass, spheroid added mass.
ashfordeOU/aero-agent-skills · ★ 0 · AI & Automation · score 78

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# Added Mass Coefficients, Potential Flow (aerodynamics/aeroelasticity/added-mass-coefficients-potential-flow) Use when you must determine the added mass coefficient (virtual mass, apparent mass) of a body accelerating rectilinearly through an inviscid irrotational fluid, from the kinetic energy of the irrotational flow the body sets up. An accelerating body must drag a surrounding mass of fluid with it, and that fluid inertia is a real load: the catalog below gives the coefficient m_a per shape from T = (1/2)*rho*oint_S phi*(dphi/dn) dS (Lamb Hydrodynamics Art. 136 form, normal derivative positive into the body), which for translation at speed U equals (1/2)*m_a*U^2. This leaf is the fluid-inertia counterpart of the unsteady siblings of this pack: aeroelastic-gust-response and flutter-speed-prediction both document neglecting apparent-mass terms at their level, and the coefficient an accelerating body carries is exactly the content they disclaim. Method provenance is the classical literature (Lamb, Hydrodynamics, Art. 136 kinetic-energy integrals and Art. 114 ellipsoid coefficients; Brennen, "A Review of Added Mass and Fluid Inertial Forces"), cited by name only, with NACA Report 824 as reference-only context for the thin-airfoil potential-flow methodology this catalog complements. ## Domain quick reference - Kinetic-energy definition: for a body translating at speed U along a principal direction, T = (1/2)*rho*oint_S phi*(dphi/dn) dS = (1/2)*m_a *U^2 fixes the add