In this paper, a semi-analytical model is proposed to solve the diffraction problem from cylinder with moonpool. The and moonpool can be in arbitrary shapes. Linear potential flow theory eigenfunction matching method are adopted analytical model. After dividing fluid domain into three regions (i.e., region beneath cylinder; inner enclosed by exterior outer cylinder), diffracted spatial potentia...

The article describes the features of work beams with a thin transverse corrugated web plate. Exponential fractional regression is presented, which allows one to estimate relative height plate sections working together flanges, obtained by authors based on an analysis numerical experiments. Based work, method proposed for describing stress state arbitrary cross-section I-beam (the profile corru...

Pressure drop of fully developed, laminar, incompressible flow in smooth mini and microchannels of arbitrary cross-section is investigated. A compact approximate model is proposed that predicts the pressure drop for a wide variety of shapes. The model is only a function of geometrical parameters of the cross-section, i.e., area, perimeter, and polar moment of inertia. The proposed model is comp...

Electromagnetic cloak is a device which makes an object "invisible" for electromagnetic irradiation in a certain frequency range. Material parameters for the complementary medium-assisted external cylindrical cloak with arbitrary cross section are derived based on combining the concepts of complementary media and transformation optics. It can make the object with arbitrary shape outside the clo...

Sound transmission through ducts of constant cross section with a uniform inviscid mean flow and a constant acoustic lining (impedance wall) is classically described by a modal expansion, where the modes are eigenfunctions of the corresponding Laplace eigenvalue problem along a duct cross section. A natural extension for ducts with cross section and wall impedance that are varying slowly (compa...

— The propagation of elastic surface waves, guided by the free surface of an infinitely long cylinder, of arbitrary cross section, is formulated as on eigenvalue problem, for an unbounded self adjoint operator. We prove the existence of a hierarchy of guided modes. Two of them propagate for any value of the wave number, whereas all of the others only exist beyond a cut-off wave number. For any ...

A recent study [1] has shown that a small discontinuity such as an enlargement or a hole on circular waveguides can produce trapped electromagnetic modes with frequencies slightly below the waveguide cutoff. The trapped modes due to multiple discontinuities can lead to high narrow-band contributions to the beam-chamber coupling impedance, especially when the wall conductivity is high enough. To...

A model for steady laminar natural convection inside vertical, arbitrarily shaped isothermal ducts of constant cross section is presented. The model is based on a combination of asymptotic solutions for fully developed and developing, boundary-layer  ow. The fully developed asymptote model utilizes forced convection, internal  ow modeling techniques, and an approximate model is presented, whi...

Long waves in a current of an inviscid fluid of constant density flowing through a channel ofarbitrary cross section under disturbances of pressure distribution on free surface and obstructors on thewall of the channel are considered. The first order asymptotic approximation of the elevation of the freesurface satisfies a forced Korteweg-de Vries equation when the current is nea...