The rigid-lid approximation is a commonly used simplification in the study of densitystratified fluids in oceanography. Roughly speaking, one assumes that the displacements of the surface are negligible compared with interface displacements. In this paper, we offer a rigorous justification of this approximation in the case of two shallow layers of immiscible fluids with constant and quasi-equal...

Natural frequencies of a clamped axially loaded beam carrying an eccentric end rigid body are computed. A linearly varying non-follower axial force representing the beam’s own weight is taken into consideration. An analytical form of the frequency equation of the structure is obtained and solved numerically. The parameters associated with the end rigid body, the mass, the rotary inertia and the...

• The study examines the transport of species in streaming blood through a rigid artery presence multi-irregular stenosis. flow is modeled by Casson constitutive equation. A linear surface reaction considered at artery. Asymptotic expressions are developed for velocity and shear stress coefficients. Extensive visualization velocity, concentration, other characteristics included various stenotic...

We propose an approach for constructing compact payloads with low mass that can erect very large and strong structures. This technology would enable payloads small enough to launch that can become self-contained orbital habitats, large buildings on planetary surfaces, or other large structures that require significant strength. Our approach uses inflated bubble structures and suspended films wh...

A 16-year-old with clinical features of atypical asthma is presented, with a description of the workup leading to the diagnosis of an intratracheal mass. The mass was visualized with a flexible fiberoptic bronchoscope, then surgically removed through a rigid bronchoscope using a CO2 laser. We believe this is the first report of resection using this technique. A discussion of tracheal neurilemmo...

The five relative equilibria of the three-body problem give rise to solutions where the bodies rotate rigidly around their center of mass. For these solutions, the moment of inertia of the bodies with respect to the center of mass is clearly constant. Saari conjectured that these rigid motions are the only solutions with constant moment of inertia. This result will be proved here for the planar...

If the three moments of inertia are different from each other, the solution to the free rigid body (FRB) equations of motion is given in terms of Jacobi elliptic functions. Using the Arithmetic-Geometric mean algorithm, [1], these functions can be calculated efficiently and accurately. The overall approach yields a faster and more accurate numerical solution to the FRB equations compared to sta...

The paper presents a novel elastic image-matching algorithm, which is capable of treating some pre-selected parts of an image as rigid objects, while remainder of the image can be elastically deformed. The proposed method uses a spring-mass system to model deformations caused by displacement of the rigid objects and/or pre-selected feature landmarks. The proposed method gives more control over ...

Rhinolith is a stone like nasal mass uncommon in children and adolescent. Diagnosis of rhinolithiasis may be difficult because of the possibility of varying clinical presentations. We report 2 cases in adults. The first was 23 years old female having unilateral nasal obstruction, cacosmia and occasional blood stained nasal discharge. The second case was that of a 47 years old male having unilat...