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Modification of Navier_Stokes equations asuming the quasi-potential flow
Navrátil, Dušan ; Pochylý, František (referee) ; Fialová, Simona (advisor)
The master's thesis deals with Navier-Stokes equations in curvilinear coordinates and their solution for quasi-potential flow. The emphasis is on detailed description of curvilinear space and its expression using Bézier curves, Bézier surfaces and Bézier bodies. Further, fundamental concepts of hydromechanics are defined, including potential and quasi-potential flow. Cauchy equations are derived as a result of the law of momentum conservation and continuity equation is derived as a result of principle of mass conservation. Navier-Stokes equations are then derived as a special case of Cauchy equations using Cauchy stress tensor of Newtonian compressible fluid. Further transformation into curvilinear coordinates is accomplished through differential operators in curvilinear coordinates and by using curvature vector of space curve. In the last section we use results from previous chapters to solve boundary value problem of quasi-potential flow, which was solved by finite difference method using Matlab environment.
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3D models of stress tensor
Stieber, Petr ; Pokorný, Přemysl (referee) ; Malášek, Jiří (advisor)
The aim of this bachelor´s thesis is to create 3D models of stress tensor. Mohr´s circles serve as a base for identification of size and direction of stress component. These are then used for the 3D modelling in software Rhinoceros. Final models in the form of colored areas show general, normal and shear stress for the individual states of stress.
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Modification of Navier_Stokes equations asuming the quasi-potential flow
Navrátil, Dušan ; Pochylý, František (referee) ; Fialová, Simona (advisor)
The master's thesis deals with Navier-Stokes equations in curvilinear coordinates and their solution for quasi-potential flow. The emphasis is on detailed description of curvilinear space and its expression using Bézier curves, Bézier surfaces and Bézier bodies. Further, fundamental concepts of hydromechanics are defined, including potential and quasi-potential flow. Cauchy equations are derived as a result of the law of momentum conservation and continuity equation is derived as a result of principle of mass conservation. Navier-Stokes equations are then derived as a special case of Cauchy equations using Cauchy stress tensor of Newtonian compressible fluid. Further transformation into curvilinear coordinates is accomplished through differential operators in curvilinear coordinates and by using curvature vector of space curve. In the last section we use results from previous chapters to solve boundary value problem of quasi-potential flow, which was solved by finite difference method using Matlab environment.
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3D models of stress tensor
Stieber, Petr ; Pokorný, Přemysl (referee) ; Malášek, Jiří (advisor)
The aim of this bachelor´s thesis is to create 3D models of stress tensor. Mohr´s circles serve as a base for identification of size and direction of stress component. These are then used for the 3D modelling in software Rhinoceros. Final models in the form of colored areas show general, normal and shear stress for the individual states of stress.
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Measurement of Tensor Stress Changes by Conical Gauge Probe in Ostrava-Karvina Coal Basin
Staš, Lubomír ; Souček, Kamil ; Knejzlík, Jaromír ; Waclawik, P. ; Palla, L.
A device designed on base of measurement local deformations on compact conical ended borehole was used for long term monitoring of stress changes induced by closed underground human activity.The changes of stress state of rock mass impacted by progress of long-wall were investigated. This experiment demonstrated that monitored strain changes on borehole bottom are formed both by geomechanical situation based on a progress of long-wall and perhaps by local geomechanical situation based on stress redistribution after boring of measuring borehole and on plastic deformation of creeping rock material.
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