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Numerical and analytical calculations of the free surface flow between two semi-infinite straights

Chedala Fatma Zohra, Amara Abdelkader, Meflah Mabrouk

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 4

21--32

EN

The problem of two-dimensional flow with the free surface of the jet in a region between two semi-infinite straights intersections at point O is calculated analytically for each angle Beta and numerically for each of the various values of the Weber number and angle Beta. By assuming that the flow is potential, irrotational and that the fluid is incompressible and inviscid, and by taking account only the surface tension for a numerical method using the series truncation, and without the effect of gravity and surface tension for the analytic method utilize the hodograph transformation. The obtained results confirmed a good agreement between them when the Weber number tends to infinity, and the comparison of these surface shapes is illustrated.

2

Simulation of liquid dynamics in a cryogenic mobile vessels

Lisowski E., Domagała M.

Archives of Foundry Engineering

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2010

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Vol. 10, iss. 3 spec.

77--80

EN

Technical gases becomes liquid in extremely low temperature ranging minus 200 °C and very high pressure what makes that transportation devices have to perform very strict requirement. Presented paper shows selected aspect of simulation of liquefied gas sloshing in aspect of requirements that mobile vessels have to fulfill. Mobile vessel which is the object of simulation is a two shell tank with vacuum and layer insulation between shells adapted to 20 ft container. It is assigned for see, railway and road transport and have to follow all of requirements for such transportation systems. Requirements for such tank are enclosed in standard ISO 1496-3 which deals with freight containers and standard EN13530-2 that describes vacuum, cryogenic vessels. The standards EN13530-2 defines that vessels which are to be filled equal or less than 80% should be fitted with surge plates to provide vessel stability and limit dynamic loads. Additionally surge plates area has to be at least 70% of cross section of the vessel and volume between surge plates shall be not higher than 7.5 m3. Structure of the vessel as well as the surge plate should resist of longitudinal acceleration of 2g. Additionally surge plates shall resists stresses caused by pressure distributed across the area of surge plate and the pressure shall be calculated as mass of liquid between plates and acceleration 2g. In this paper is presented way of simulation of dynamic behavior of liquefied Argon on vessel structure. A numerical methods like Computational Fluid Dynamics (CFD) and Finite Element Analysis (FEA) were used for this purpose. Combination of both tools allowed to get pick value of dynamic pressure that arising during acceleration of 2g, which was assumed is 0.2 s and investigate resistance of vessel and container structure. Presented approach is called Fluid – Structure Interaction simulation. In CFD simulation was used Ansys CFX code, while for FEA calculations Pro/Mechanica package.

3

The bulk temperature in free convection flow of Carreau fluid

Uscilowska A.

International Journal of Applied Mechanics and Engineering

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2005

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Vol. 10, no spec

111-117

EN

The presented paper treats the free convection flow. The non-Newtonian fluid is under the consideration. There exist quite a lot of models of the non-Newtonian fluid, in the literature. The work proposes the model for Careau fluid. The main assumption for such fluid is the varying viscosity, dependent on the strain rate. For the Careau fluid the numerical experiment has been performed. Some remarks and conclusions are included.