Instability of a tangential discontinuity surface in a three-dimensional compressible medium

2021 ◽  
Vol 33 (1) ◽  
pp. 016106
Author(s):  
Thi Thai Le ◽  
Thorsten Koch
Keyword(s):  
Three Dimensional ◽  
Discontinuity Surface ◽  
Tangential Discontinuity ◽  
Compressible Medium

scholarly journals The production of waves by the sudden release of a spherical distribution of compressed air in the atmosphere

1941 ◽  
Vol 178 (973) ◽  
pp. 153-170 ◽  
Keyword(s):  
Shock Wave ◽  
Sound Wave ◽  
Complete Solution ◽  
Spherical Wave ◽  
Three Dimensional ◽  
Wave Theory ◽  
Initial Distribution ◽  
Finite Amplitude ◽  
Compressed Air ◽  
Compressible Medium

An attempt has been made to develop a method for dealing with solutions of problems connected with the production of waves by spherical concentrations of compressed air. Starting from the general equations for three-dimensional spherically symmetrical flow in a homogeneous compressible medium having constant entropy everywhere, a process has been devised to apply step-by-step calculations over small intervals of time to investigate the general features of such a motion. A complete solution has been worked out in one particular case for a not very intense initial distribution of pressure, and various indirect checks have indicated that the results are reasonably accurate. These results show m any features of definite interest. As distinct from plane or spherical sound wave theory, it is found that a train of waves passes away from the centre of disturbance, the amplitudes and wave lengths falling off from wave to wave. Furthermore, as distinct from finite amplitude plane wave theory which shows that any wave must eventually become a shock wave, the waves obtained in the finite amplitude spherical wave case show no indication of becoming shock waves, and indeed show towards the closing stages of the calculation a similarity to sound wave propagation. The method is applicable to any spherically symmetrical motion up to such a time as the formation of a shock wave takes place and then fails owing to the assumption of constant entropy.

Impact Simulation of Liquid-Filled Containers Including Fluid-Structure Interaction—Part 1: Theory

1993 ◽  
Vol 115 (1) ◽  
pp. 68-72 ◽  
Author(s):  
R. G. Sauve´ ◽  
G. D. Morandin ◽  
E. Nadeau
Keyword(s):  
Fluid Model ◽  
Numerical Technique ◽  
Liquid Radioactive Waste ◽  
Three Dimensional ◽  
Volumetric Strain ◽  
Computer Code ◽  
Compressible Medium ◽  
Hydrodynamic Effect ◽  
Inviscid Fluid ◽  
Element Discretization

In a number of applications, the hydrodynamic effect of a fluid must be included in the structural evaluation of liquid-filled vessels undergoing transient loading. Prime examples are liquid radioactive waste transportation packages. These packages must demonstrate the ability to withstand severe accidental impact scenarios. A hydrodynamic model of the fluid is developed using a finite element discretization of the momentum equations for a three-dimensional continuum. An inviscid fluid model with an isotropic stress state is considered. A barotropic equation of state, relating volumetric strain to pressure, is used to characterize the fluid behavior. The formulation considers the continuum as a compressible medium only, so that no tension fields are permitted. The numerical technique is incorporated into the existing general-purpose three-dimensional structural computer code H3DMAP. Part 1 of the paper describes the theory and implementation along with comparisons with classical theory. Part 2 describes the experimental validation of the theoretical approach. Excellent correlation between predicted and experimental results is obtained.

Impact Simulation of Liquid-Filled Containers Including Fluid-Structure Interaction—Part 2: Experimental Verification

1993 ◽  
Vol 115 (1) ◽  
pp. 73-79
Author(s):  
R. G. Sauve´ ◽  
G. D. Morandin ◽  
E. Nadeau
Keyword(s):  
Fluid Model ◽  
Numerical Technique ◽  
Liquid Radioactive Waste ◽  
Three Dimensional ◽  
Volumetric Strain ◽  
Computer Code ◽  
Compressible Medium ◽  
Hydrodynamic Effect ◽  
Inviscid Fluid ◽  
Element Discretization

In a number of applications, the hydrodynamic effect of a fluid must be included in the structural evaluation of liquid-filled vessels undergoing transient loading. Prime examples are liquid radioactive waste transportation packages. These packages must demonstrate the ability to withstand severe accidental impact scenarios. A hydrodynamic model of the fluid is developed using a finite element discretization of the momentum equations for a three-dimensional continuum. An inviscid fluid model with an isotropic stress state is considered. A barotropic equation of state, relating volumetric strain to pressure, is used to characterize the fluid behavior. The formulation considers the continuum as a compressible medium only, so that no tension fields are permitted. The numerical technique is incorporated into the existing general-purpose three-dimensional structural computer code H3DMAP. Part 1 of the paper describes the theory and implementation along with comparisons with classical theory. Part 2 describes the experimental validation of the theoretical approach. Excellent correlation between predicted and experimental results is obtained.

Estimation of Joint Roughness Coefficient from Three-Dimensional Discontinuity Surface

2017 ◽  
Vol 50 (9) ◽  
pp. 2535-2546 ◽  
Author(s):  
Guangcheng Zhang ◽  
Murat Karakus ◽  
Huiming Tang ◽  
Yunfeng Ge ◽  
Qiangqiang Jiang
Keyword(s):  
Three Dimensional ◽  
Discontinuity Surface ◽  
Roughness Coefficient ◽  
Joint Roughness Coefficient ◽  
Joint Roughness

scholarly journals On the Use of Probability-Based Methods for Estimating the Aerodynamic Boundary-Layer Thickness

Fluids ◽  
2021 ◽  
Vol 6 (8) ◽  
pp. 267
Author(s):  
Andrey V. Boiko ◽  
Kirill V. Demyanko ◽  
Yuri M. Nechepurenko ◽  
Grigory V. Zasko
Keyword(s):  
Boundary Layer ◽  
Software Package ◽  
Viscous Incompressible Fluid ◽  
Three Dimensional ◽  
Laminar Flows ◽  
Probabilistic Methods ◽  
Compressible Medium ◽  
Boundary Layer Stability ◽  
Turbulent Transition ◽  
Viscous Compressible Medium

In this paper, known probabilistic methods for estimating the thickness of the boundary layer of a two-dimensional laminar flow of viscous incompressible fluid are extended to three-dimensional laminar flows of a viscous compressible medium. Their applicability to the problems of boundary-layer stability is studied with the LOTRAN3 software package, which allows us to compute the position of laminar-turbulent transition in three-dimensional aerodynamic configurations.

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