On Vibration of an Ideal Fluid contained in an Annular Region bounded by two Eccentric Circular Cylinders : Case of Finite Amplitude

Abstract

An infinitely long cylindrical wall d₂ of circular cross section is assumed to exist. Inside which, another cylindrical wall d₁, also of infinite length, is assumed to exist, their axes being parallel to each other. The axes of these two cylindrical walls need not necessarily coincide. The annular space lying between these two walls d₁ and d₂ is assumed to be filled up with an ideal fluid (non-viscous, incompressible). When the inner cylindrical wall d₁ makes a transverse vibration, while the outer cylindrical wall d₂ remain fixed, particles of the fluid will also make a vibratory motion. In this report, theoretical calculation is made of the vibratory hydraulic pressure thus set up in the fluid, for a case in which the amplitude A of vibration is of finite value, not necessarily confining to the case of very small amplitude.