scholarly journals Numerical analysis of a steady flow in a non-uniform capillary

2020 ◽  
Vol 24 (4) ◽  
pp. 2385-2391
Author(s):  
Ya-Ping Li ◽  
Li-Li Wang ◽  
Jie Fan

Fluids in porous media driven by the capillary force are greatly affected by capillary?s geometrical structure. The steady flow in a non-uniform capillary is numerically analyzed by the finite element method. With the given initial and boundary conditions, the flow velocity distribution with different geometrical parameters is obtained, and the result is in a good agreement with the experimental data.

1992 ◽  
Vol 20 (4) ◽  
pp. 230-253 ◽  
Author(s):  
T. Akasaka ◽  
K. Kabe ◽  
M. Koishi ◽  
M. Kuwashima

Abstract The deformation behavior of a tire in contact with the roadway is complicated, in particular, under the traction and braking conditions. A tread rubber block in contact with the road undergoes compression and shearing forces. These forces may cause the loss of contact at the edges of the block. Theoretical analysis based on the energy method is presented on the contact deformation of a tread rubber block subjected to compressive and shearing forces. Experimental work and numerical calculation by means of the finite element method are conducted to verify the predicted results. Good agreement is obtained among these analytical, numerical, and experimental results.


2016 ◽  
Vol 139 (1) ◽  
Author(s):  
H. Al-Gahtani ◽  
A. Khathlan ◽  
M. Sunar ◽  
M. Naffa'a

The juncture of a small cylindrical nozzle to a large cylindrical vessel is very common in the pressure vessel industry. Upon fabrication, it is required that the whole structure is subjected to pressure testing. The test can be expensive as it necessitates pressurizing the whole structure typically having a large volume. Hence, it is proposed to make a “local test,” which is considerably simpler as it involves capping the small nozzle and testing only a relatively small portion of the structure. This paper investigates the accuracy and reliability of such an alternative test, using the finite-element method. Two different finite-element types are used in the study, specifically a shell-based element and a solid-based element. The verification of the finite-element results for two different cases shows that the models used in the study are valid. It also proves that the two element types yield very similar stress results. In addition, the study includes a numerical investigation of more than 40 different nozzle-to-vessel junctures with a wide range of parameters for the nozzle and vessel. The results indicate that the use of cylindrical caps that are slightly larger than the nozzle is not recommended as it produces stresses that are significantly different from those for the original required pressure test. As such, the study provides an estimate of the smallest size of the cap that may be used in the local test to generate stresses that agree with the full test. For most practical geometries, it is shown that the size of the cap needs to be at least 2–30 times larger than that of the nozzle, depending on the geometrical parameters of the juncture.


1975 ◽  
Vol 10 (3) ◽  
pp. 167-171 ◽  
Author(s):  
F Ginesu ◽  
B Picasso ◽  
P Priolo

Results on the plastic collapse behaviour of an axisymmetric rotating shell, obtained by Limit Analysis and the Finite Element Method, are in good agreement with experimental data. The Finite Element Method, though computationally rather costly, permits, however, a more complete analysis of elasto-plastic behaviour. For the present case, the Limit Analysis has the advantage of greater computational simplicity and leads to a quite satisfactory forecast of collapse speed from the engineering point of view.


1997 ◽  
Vol 1 (2) ◽  
pp. 159-165 ◽  
Author(s):  
Wibisono Hartono

This paper presents a nonlinear elastic analysis of cantilever beam subjected to two follower forces. Those two proportional forces are always perpendicular to the beam axis. The solution of differential equations based on the large displacement theory, known as elastica is obtained with the help of principle of elastic similarity. For comparison purpose, numerical results using the finite element method are also presented and the results show good agreement.


2012 ◽  
Vol 446-449 ◽  
pp. 3229-3232
Author(s):  
Chao Jiang Fu

The finite element modeling is established for reinforced concrete(RC) beam reinforced with fiber reinforced polymer (FRP) using the serial/parallel mixing theory. The mixture algorithm of serial/parallel rule is studied based on the finite element method. The results obtained from the finite element simulation are compared with the experimental data. The comparisons are made for load-deflection curves at mid-span. The numerical analysis results agree well with the experimental results. Numerical results indicate that the proposed procedure is validity.


2011 ◽  
Vol 243-249 ◽  
pp. 5994-5998
Author(s):  
Lang Cao ◽  
Xing Jie Xing ◽  
Feng Guang Ge

According to the bending equation and boundary conditions of skew plate in the oblique coordinates system parallel to the edge of the plate, expanding deflection and load into form of Fourier series, the paper derives and obtains unified solution of bending problem for the four-edge-supported skew plate under arbitrary load. Programmed and calculated by mathematica language, the paper also comes with deflections and moments under the condition of any oblique angles, ratios of side length and Poisson ratios. The results of the paper is compared with those by the finite element method in the example, and they’re in good agreement with each other. The paper extends the bending theory of rectangular plate to the skew plate of any angle. The theory being reliable and the result being accurate, the research of the paper can provide reference for engineering design.


1990 ◽  
Vol 112 (1) ◽  
pp. 108-114
Author(s):  
A. V. Singh ◽  
V. Kumar

The finite element method is used to study stresses in two types of spherical pressure vessel heads having very wide range of applications in industries. The first problem involves a nozzle to sphere intersection reinforced by a pad and subjected to radial thrust load. The second problem deals with a pressurized thick hemispherical drumhead with a circular manhole. These structures are modeled using eight-node axisymmetric solid of revolution finite elements. Numerical values of circumferential and meridional stresses from the present analysis show excellent agreement with experimental data from the literature.


1980 ◽  
Vol 15 (3) ◽  
pp. 117-126 ◽  
Author(s):  
V Ramamurti ◽  
S Sreenivasamurthy

In this paper the finite element method has been used to determine the stresses and deformations of pre-twisted and tapered blades. Three-dimensional, twenty-noded isoparametric elements have been used for the analysis. Extensive analysis has been done for various pre-twist angles, skew angles, breadth to length ratios, and breadth to thickness ratios of the blades. Experiments were carried out to determine the stresses for the verification of the numerical results and they were found to be in good agreement.


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