3 edition of The inflation of axially symmetric membranes by linearly varying hydrostatis pressure found in the catalog.
The inflation of axially symmetric membranes by linearly varying hydrostatis pressure
Lawrence K. Yu
by Engineering Research Institute, Iowa State University in Ames
Written in English
Bibliography: p. 45.
|Statement||[by] L. K. Yu [and] K. C. Valanis.|
|Series||Iowa State University. Engineering Research Institute. Report 63|
|Contributions||Valanis, K. C., joint author.|
|LC Classifications||TA7 .I83 no. 63, TA417.6 .I83 no. 63|
|The Physical Object|
|Number of Pages||46|
|LC Control Number||68065250|
Fluid Mechanics Second Edition Joseph H. Spurk Nuri Aksel Fluid Mechanics Second Edition Professor Dr. Joseph H. Spurk (em.) TU Darmstadt Institut für Technische Strömungslehre Petersenstraße 30 Darmstadt Germany ISBN The laminar flow in two-dimensional diffusers may produce either symmetric or nonsymmetric steady solutions, depending on the value of the Reynolds number as compared with some critical value. The stability properties of the flow are studied in the context of linear theory. In this context, a sensitivity analysis of the flow instability is carried out with respect to perturbations that may be Cited by:
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. Instability and sensitivity of the flow around a rotating circular cylinder. Volume ;Cited by: Get homework help fast! Search through millions of guided step-by-step solutions or ask for help from our community of subject experts 24/7. Try Chegg Study today!
Axially symmetric models of the atmosphere describe the zonally averaged general circulation when large-scale eddies are suppressed. The contribution of macroturbulent and moist processes to the general circulation is best understood in comparison with inviscid, dry, axially symmetric mean states because the latter are special cases of the by: 9. () Baroclinic instability of axially symmetric flow over sloping bathymetry. Journal of Fluid Mechanics , () A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable by:
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Recommended Citation. Yu, Lawrence Kuang, "The inflation of axially symmetric membranes by linearly varying hydrostatic pressure " (). Retrospective Theses and by: This investigation represents the application of the theory of large deformation of elastic membranes to the problem of the inflation of an axially symmetric membrane by a linearly varying hydrostatic pressure.
The membrane considered here is made of neo‐Hookean material. Under the assumption of very large deformation, it is shown that the stress resultants on the middle surface of the membrane Cited by: In the present investigation, the theory of axially symmetric membranes, with an added equation to describe the variation of the in flating pressure, is applied to the problem of inflation of an axi-symmetric membrane by means of a linearly varying hydrostatic pressure.
The main object of this study is to find the stress field and the deCited by: The inflation of axially symmetric membranes by linearly varying hydrostatic pressure. By Lawrence Kuang Yu. Topics: Membranes (Technology), Deformations (Mechanics), Elasticity, Pressure, Applied MechanicsAuthor: Lawrence Kuang Yu.
Yu, K. ValanisThe inflation of axially symmetric membranes by linearly varying hydrostatic pressure Trans. Soc. Rheol., 14 (), pp. Google ScholarCited by: 7.
At these points, the addition of more water causes increased symmetric deformations but the liquid height and consequently the hydrostatic pressure remains practically constant up to a critical volume where the axisymmetric response becomes unstable and the membrane assumes an asymmetric equilibrium by: Theoretical Analysis of Pressure Drop in the Laminar Flow of Fluid in a Coiled Pipe.
Larrain and C. Bonilla. The Inflation of Axially Symmetric Membranes by Linearly Varying Hydrostatic Pressure.
Yu and K. Valanis. more Transactions of the Society of Rheol 3 Figure is only valid if we assume that the stresses are varying very slowly with the x and y coordinates. If this were not true, we would have to account for the increase in stresses over a differential element.
But a more rigorous analysis will also reveal that shear stresses are symmetric, see Problem Expanding Educational. Lecture 8: Differential Analysis/Part 2 Spring Dr.
Jason Roney Mechanical and Aerospace Engineering. Outline • Pressure outside the boundary is reasonably approximated. this makes sense since the pressure distribution is symmetric about cylinder, ahowever, in File Size: 2MB.
An incompressible fluid of density ρ and viscosity μ flows through a curved duct that turns the flow °. The duct cross-sectional area remains constant. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2), as in Fig.
P6– The axisymmetric deformations of hyperelastic membranes under a linearly varying hydrostatic pressure have been examined in 5 [1,2,3, 4, 5,6,7]. The large deflection and stability behaviour of. Foster, Very large deformations of axially symmetric membranes made of neo-Hookean material Int.
Eng. Sci. 5, () L. Yu and K. Valanis, The inflation of axially symmetric membranes by linearly varying hydrostatic pressure, Trans. Soc. Rheol ()Cited by: axially symmetric flows of a perfect incompressible fluid. The axis of symmetry will be taken as the x-axis.
Let x, p be the coordinates in a meridian plane. The flow is completely determined if the velocity distribution is known in the half plane —» File Size: 1MB.
Request PDF | OnYang Zhou and others published Instability of thin circular membranes subjected to hydro-static loads | Find, read and cite all the research you need on ResearchGate. Therefore, liquids are usually referred to as incompressible substances. A pressure of atm, for example, causes the density of liquid water at 1 atm to change by just 1 percent.
Gases, on the other hand, are highly compressible. A pressure change of just atm, for example, causes a change of 1 percent in the density of atmospheric air.
Membranes: Stability of a Uniformly Deformed Plane Membrane. Journal of Applied Mathematics and Physics, 22, SHIELD, R. T., On the Stability of Finitely Deformed Elastic Membranes: Stability Inflated Cylindrical and Spherical Membranes. Journal of.
Chapter 6|Solution of Viscous-Flow Problems the velocities in order to obtain the velocity gradients; numerical predictions of process variables can also be made. Typesof° broad classes of viscous °ow will be illustrated in this chapter: 1. Poiseuille °ow, in which an applied pressure diﬁerence causes °uid motion between File Size: KB.
Numerical instability investigations for thin membranes. Yang Zhou. Dept. of Mechanics, Royal Institute of Technology The inflation of axially symmetric membranes by linearly varying hydrostatic pressure.
Transactions of The Society of Rheology, –, THE AXIALLY SYMMETRIC RESPONSE OF AN ELASTIC CYLINDRICAL SHELL PARTIALLY FILLED WITH LIQUID By Richard M. Beam and LeRoy R. Guist Ames Research Center Moffett Field, Calif.
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION For sale by the Clearinghouse for Federal Scientific and Technical Information Springfield, Virginia - Price $File Size: 1MB. Perhaps the most basic, and consequently the most important, particular case of a spatial flow is an axially symmetric spatial flow, as for example flow past bodies of revolution.
Let x, r, χ denote the cylindrical coordinates with the x -axis coincident with the axis of symmetry of the by: 3.
This set is based on Chap Fluids, of the textbook "Physics" by James S. Walker. Learn with flashcards, games, and more — for free.
Free surface, axially symmetric shallow flow is analyzed in both the centrifugal and centripetal directions. Referring to the inviscid steady flow over a flat plate characterized by a unique value of specific energy, the analytical sub- and supercritical solutions are determined. Three theories for determination of the equilibrium states of initially flat, linearly elastic, rotationally symmetric, taut membranes are considered: Föppl-von Kármán theory, Reissner’s theory, and a new generalization of Reissner’s theory that does not restrict the strains to be small.
Attention is focused on annular membranes, but circular membranes are also by: