Showing papers on "Shell balance published in 2010"
TL;DR: In this article, it was shown that an effective anisotropic spherically symmetric fluid model with heat flow can absorb the addition of a perfect fluid of pressure anisotropy, heat flow, bulk and shear viscosity, electric field and null fluid.
Abstract: It is shown that an effective anisotropic spherically symmetric fluid model with heat flow can absorb the addition to a perfect fluid of pressure anisotropy, heat flow, bulk and shear viscosity, electric field and null fluid. In most cases the induction of effective heat flow can be avoided.
38 citations
TL;DR: In this article, the free flexural vibration of a finite cylindrical shell in contact with external fluid is investigated, where the fluid is assumed to be inviscid and irrotational.
17 citations
TL;DR: In this paper, the authors considered the problem of equilibrium of a nonlinearly elastic spherical shell filled with a heavy fluid and resting on a smooth, absolutely rigid, flat surface.
Abstract: This paper considers the problem of equilibrium of a nonlinearly elastic spherical shell filled with a heavy fluid and resting on a smooth, absolutely rigid, flat surface. The weight of the shell is assumed to be negligible in comparison with the weight of the fluid filling it. The contact region with the supporting plane is one of the unknowns in the problem. Equilibrium equations for a membrane shell are obtained in an accurate nonlinear formulation. Stresses and strains of a shell made of a Mooney–Rivlin material are numerically investigated. The results are compared with calculation results for the case of inflation of a spherical shell ignoring the weight of the fluid filling. The effect of the fluid weight on shell strains and stresses is estimated.
12 citations
TL;DR: In this paper, the angular momentum balance was used to prove that the classical Boussinesq-type solution does not satisfy the balance of energy, momentum, and angular momentum in the control volume conservation laws in curvilinear flow.
Abstract: The control volume approach in fluid mechanics relies upon the conservation of energy, momentum and angular momentum However, open channel flows are typically related to only conservation of energy and momentum Thus, for flows of non-uniform velocity and non-hydrostatic pressure distributions, the number of unknowns is larger than that of equations for depth-averaged models This gap resulted in semi-empirical approaches either using momentum or using energy conservation However, a more fundamental depth-averaged model may be developed by accounting for angular momentum balance This basic approach was largely overlooked in hydraulic practice The generalized form of the control volume conservation laws in curvilinear flow are presented herein, including the angular momentum balance The development is used to prove that the classical Boussinesq-type solution does not satisfy the angular momentum balance A more general Boussinesq approach is considered and applied to the 2D free overfall, indicating i
7 citations
TL;DR: In this paper, the authors proposed a technique for the stability analysis of an elastic cylindrical shell with added mass interacting with a flowing fluid, and derived equations to determine the critical speeds of the fluid corresponding to the quasistatic (divergent) and dynamic (flutter) buckling of the shell.
Abstract: The paper proposes a technique for the stability analysis of an elastic cylindrical shell with added mass interacting with a flowing fluid. Three cases of mass–shell contact are considered: the added mass (i) is attached to the shell at one point, (ii) has the form of a circular ring, and (iii) is distributed uniformly over the length. For each case, equations to determine the critical speeds of the fluid corresponding to the quasistatic (divergent) and dynamic (flutter) buckling of the shell are derived
2 citations