Development of a third generation of axisymmetric drop shape analysis (ADSA)

by Mina Hoorfar

Written in English
Published: Pages: 275 Downloads: 366
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Edition Notes

StatementBy Mina Hoorfar.
The Physical Object
Paginationxxi, 275 leaves, ill.
Number of Pages275
ID Numbers
Open LibraryOL19758123M
ISBN 109780494158593

Since the development of Element-Free Galerkin (EFG) method by T. Belytschko et al. [1], rather similarity of the method to the traditional FEM together with its higher accuracy, has made it the most well-known mesh-free method amid others. In the past, many aspects of this method. Plane axisymmetric finite element. Although the theory of axisymmetric mechanical analysis is well known (Cook et al., ; Wilson, ; Zienkiewicz & Taylor, ), it will be shortly reviewed to introduce several equations that will be used in the following the case of axisymmetric structures loaded by axially symmetric loads, by symmetry, the two displacement Cited by: 3. In this paper, the formulation of a lower-bound limit analysis for axisymmetric problems by means of finite elements leads to an optimization problem with a large number of variables and constraints. For the Mohr-Coulomb criterion, it is shown that these axisymmetric problems can be solved by second-order cone programming (SOCP). Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! But avoid Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations.

  In analysis set, Select the NX Nastran from the Analysis Program drop-down list Select Static from the Analysis Type drop-down list. Click Ok and then click on analyze.   A robust and versatile algorithm for shape optimization with adaptive finite element procedures is developed for the design of axisymmetric structures. The algorithm is based on the use of boundary parameterization with cubic splines for describing shape changes and takes advantage of the utilities available in an advancing front type mesh by: JOURNAL OF FUNCTIONAL ANALY () The Shape of Axisymmetric Rotating Fluid LUIS A. CAFFARELLI* Department of Mathematics, University of Minnesota, Minneapolis, Minnesota AND AVNER FRIEDMAN+ Department of Mathematics, Northwestern University, Evanston, Illinois Communicated by the Editors.   axisymmetric (comparative more axisymmetric, superlative most axisymmetric) Exhibiting symmetry around an axis ; exhibiting cylindrical symmetry. Translations [ edit ].

The interest of such a transformation is the generation of electromagnetic field for 2D or 3D axisymmetric problems from only the field distribution known in simpler 2D(x-y) or 3D(x-y-z) geometry. The transformation technique is applied to both geometry and electromagnetic field distribution and validated by comparing the predicted results to. Prediction of a Billet Shape for Axisymmetric Warm Forming Using Variational Analysis p Plastic Limit Analysis of Periodic Heterogeneous Materials by a Static ApproachCited by: 2. The problem of axisymmetric flow around a body of revolution may be treated either analytically or numerically. An appeal to the superposition of elementary solutions for the stream function (as carried out for planar flow in Chapter 6) provides analytical solutions for the flow around axisymmetric bodies of varying geometries. ABAQUS Tutorial – Axisymmetric Analysis Consider a steel (E= GPa, ν=) cylindrical pressure vessel with hemispherical end caps as shown below. The pressure vessel has an inner radius of R = m and a wall thickness of t = m. An internal pressure of MPa is applied. Theoretical SolutionFile Size: KB.

Development of a third generation of axisymmetric drop shape analysis (ADSA) by Mina Hoorfar Download PDF EPUB FB2

The shape of the drop/bubble depends on the balance between surface tension and external forces, e.g. gravity. This balance is reflected mathematically in the Laplace equation of capillarity.

Axisymmetric Drop Shape Analysis (ADSA) is a commonly used drop shape by: The main purpose of this thesis is the development of a new methodology of contact angle measurement called ADSA-NA (Axisymmetric Drop Shape Analysis - No Apex) that analyzes drop shape configurations with no apex.

Thus ADSA-NA facilitates con-tact angle measurements on drops with a capillary protruding into the drop. This de-Cited by: 3. A new technique called axisymmetric drop shape analysis—height and diameter (ADSA-HD) has been developed to estimate interfacial tensions from the height and diameter of sessile and pendant drops.

Numerical simulations using numerically generated drop profiles were used to evaluate the accuracy and applicability of the by: In this study, Axisymmetric Drop Shape Analysis (ADSA) was applied to investigate the ability of a hybrid technique – i.e., the simultaneous use of TiO2, MgO, and γ-Al2O3 nanoparticles and.

Further development of Axisymmetric Drop Shape Analysis-Captive Bubble for pulmonary surfactant related studies Y.Y. Zuoa, M.

Dingb, A.W. Neumanna,* aDepartment of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, ON, Canada, M5S 3G8 bDivision of Engineering Science, Faculty of Applied Science and.

AXISYMMETRIC DROP SHAPE ANALYSIS (ADSA) FOR THE DETERMINATION OF SURFACE TENSION AND CONTACT ANGLE M. Hoorfar A. Neumann Department of Mechanical and Industrial Engineering.

Low Bond Axisymmetric Drop Shape Analysis This model is derived from a first order perturbation solution of the Laplace equation for axisymmetric drops. Using this global model of a drop, contact angles are obtained considering the whole drop profile.

While offering a fair domain of application, this approximation is computationally much more. Chapter 9 – Axisymmetric Elements Learning Objectives We begin with the development of the stiffness matrix for the simplest axisymmetric element, the triangular torus, whose vertical cross section is a plane triangle.

The linear triangular shape functions are illustrated below:File Size: 1MB. How is Axisymmetric Drop Shape Analysis by Profile abbreviated. ADSA-P stands for Axisymmetric Drop Shape Analysis by Profile.

ADSA-P is defined as Axisymmetric Drop Shape Analysis by Profile rarely. A new technique called axisymmetric drop shape analysis-height and diameter (ADSA-HD) has been developed to estimate interfacial tensions from the height and diameter of sessile and pendant drops.

Numerical simulations using numerically generated drop profiles were used to evaluate the accuracy and applicability of the by: AXISYMMETRIC FINITE ELEMENT MODELING FOR THE DESIGN AND ANALYSIS OF CYLINDRICAL ADHESIVE JOINTS BASED ON DIMENSIONAL STABILITY by Paul E.

Lyon A thesis submitted in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE in Mechanical Engineering Approved: UTAH STATE UNIVERSITY Logan, Utah _____Cited by: 5. In the work reported here, a more accurate and less subjective method is obtained by redeveloping the whole approach in the framework of axisymmetric drop shape analysis (ADSA).

ADSA is a drop shape method that has been used widely to analyze liquid-fluid interfaces. In ADSA, the experimental profile's coordinates are obtained through an Cited by: measurement called Axisymmetric Drop Shape Analysis (ADSA) and to adapt it to studies of lung surfactants, i.e.

the material that coats and facilitates the functioning of the lungs of all mammals. The key property of a functioning lung surfactant is its surface tension, which can reach extremely low values below 1 mJ/m2. Such values areCited by: 5.

Axisyrnmetric stress analysis Strain (total) As already mentioned, four components of strain have now to be are, in fact, all the non-zero strain components possible in an axisymmetric deforma- tion. Figure illustrates and defines these strains and the associated stresses.

The strain vector defined below lists the strain components involved and File Size: KB. The definition of axisymmetric is that the 2D slice can be rotated around an axis to create a 3D volume.

But for an analysis to qualify for axisymmetric, the loads also need to be revolved around the center axis. An example analysis would be pus. Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops A.F.

Stalder, T. Melchior, M. Müller, D. Sage, T. Blu. Governing Equations for Plane Axisymmetric Problems The two-dimensional strain-displacement relations are given by Eqns.

and these simplify in the axisymmetric case to r u r u r u r u r r r rr 2 1 () Here, it will be assumed that the displacement u Size: KB. For the Love of Physics - Walter Lewin - - Duration: Lectures by Walter Lewin.

They will make you ♥ Physics. Recommended for you. analysis of axially symmetric structures subjected to axisymmetric loads. The conical thin shell is adopted as the basic general element of single curvature.

The formulation of two different methods designed to solve axisymmetric structures will File Size: 1MB. Define axisymmetric.

axisymmetric synonyms, axisymmetric pronunciation, axisymmetric translation, English dictionary definition of axisymmetric. also axisymmetrical adj. Having symmetry around an axis: an axisymmetric cone. ax′isymmet′rically adv. ax′isym′metry n. or adj being symmetrical.

There are assumptions made in the math regarding the third direction. As the object deforms radially, the math knows that there is a tangential resistance that creates stress in an object. The definition of axisymmetric is that the 2D slice can.

Axisymmetric model is used when the geometry is axisymmetric (for example, flow through a pipe, where you can model just a 2D half-section of the pipe). Here, there is no flow in the z-axis.

In axisymmetric swirl, there is swirling flow in the z-axis (normal to the geometry plane). Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.

An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. would someone could tell me the difference between Axisymmetric and Axisymmetric Swirl.

How does the solver calculates the pressure force and mass of rigid body in these 2D case. To do the calculation, you need know specific area and volume. Ayub, "Unsteady axisymmetric flow of a second-grade fluid over a radially stretching sheet," Computers & Mathematics with Applications, vol.

On an interpolation based spectral homotopy analysis method for PDE based unsteady boundary layer flows. Axisymmetric Analysis - A problem in which the geometry, loadings, boundary conditions and materials are symmetric with respect to an axis is one that can be solved as an axisymmetric problem instead of as a three dimensional problem.

To illustrate this type of analysis consider the problem of finding the stresses in a thick open-ended cylinder with an internal pressure (such. The analysis of axisymmetric solid structures by the FEM is not difficult and follows very similar steps to those explained in the previous chapters for plane elasticity problems.

For arbitrary non-axisymmetric loading a full 3D analysis is needed. However, even in these cases the axial symmetry of the structure allows important simplifications. The non-axisymmetric shapes of a rotating drop in an immiscible system have been studied.

Five basic families of shapa3 (axisynmetric, two-lobed, thres-lobed, four-lobed, 2nd toroidal) have been observed. The sequence (axisymmetric + two-lobed + three-lobed + four-lobed + toroidal) seems to be linked to increasing spin-up velocity.

For the axisym. these tables in order to identify the profile of a drop and get sur-face tension values as well as precise contact angles. This approach is fastidious and limited to a certain range of ˇ. Thanks to com-puter algorithms, axisymmetric drop shape analysis effectuates the numerical integration automatically for any number of ˇ [10].

NUMERICAL ANALYSIS OF THE TRANSIENT RESPONSE OF ABLATING AXISYMMETRIC BODIES INCLUDING THE EFFECTS OF SHAPE CHANGE By Stephen S. Tompkins, James N. Moss, Claud M. Pittman, and Lona M. Howser Langley Research Center SUMMARY The differential equations governing the transient response of an ablating axisym.

Use the axisymmetric option when the geometry, material properties, loads, fixtures, and contact conditions have a rotational symmetry about an axis. You can model any cross section about the axis of revolution. If you use multiple bodies, they have to be symmetric about the same axis.Axisymmetric Solid with Non-Axisymmetric Load Using Matlab Jaya Lekshmi R, Sanju Mary Sobichen, M.K Sundaresan, R Marimuthu Abstract—In general rocket structural configurations are symmetric with respect to axis.

Most of the situations the loading that comes on the structures are also symmetric. Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops is the first book to cover the topics of axisymmetric laminar flows; free-boundary flows; and dynamics of drops, jets, and films.

The text also features comparisons of models to experiments, and it includes a large selection of problems at the end of each Edition: 1.