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Navier-Stokesova equation - solution of the real liquid
Krausová, Hana ; Čermák, Libor (referee) ; Fialová, Simona (advisor)
This thesis deals with the Navier-Stokes equations for real, compressible fluid with first and second viscosity. The method of expansion into a series of eigenmodes of vibration is chosen to solve the Navier-Stokes equations. The general relations of the expansion coefficients and the eigenmode shapes are given for 1D-, 2D- and 3D-flows. The specific formulae of eigenmodes of vibration are determined only for 1D-flow. The final form of the pressure function is analysed using Matlab software.
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Numerical simulation of incompressible fluid flow by the spectral element method
Pokorný, Jan ; Hlavička, Rudolf (referee) ; Čermák, Libor (advisor)
Tato diplomová práce prezentuje metodu spektrálních prvků. Tato metoda je použita k řešení stacionárního 2-D laminárního proudění Newtonovské nestlačitelné tekutiny. Proudění je popsáno stacionarní Navier-Stokesovou rovnicí. Dohromady s okrajovou pod- mínkou tvoří Navier-Stokesův problém. Na slabou formulaci této úlohy je aplikována metoda spektrálních prvků. Touto discretizací se získá soustava nelineárních rovnic. K obrdžení lineární soustavy je použita Newtonova iterační metoda. Podorobný algorit- mus tvoří jádro Navier-Stokeseva solveru, který je naprogramován v Matlabu. Na závěr jsou pomocí tohoto solveru řešeny dva příklady: proudění v kavitě a obtékání válce. Přík- lady jsou řešeny pro různé Reynoldsovy čísla. První od 1 do 1000 a druhý od 1 do 100.
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Analysis of the fluid mixing in the circulation reactor
Mačák, Martin ; Vyroubal, Petr (referee) ; Maxa, Jiří (advisor)
This work deals with an analysis of the fluid mixing in pilot plant loop reactor. Multiphase flow was simulated with calculation of velocity of flow and volume fraction of individual immiscible phases in hydrogenation reactor for aniline production. Parameters of flow were reviewed in individual parts of the device. Separate attention was paid to heat transfer through wall of the device with usage of external cooling. Designed model is applicable for optimalization and design of bubble loop reactors.
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Numerické modelování proudění vody v nitru ledových těles
Krivoš, Martin ; Čadek, Ondřej (advisor) ; Hanyk, Ladislav (referee)
Title: Numerical modeling of liquid water flows in ice bodies' interiors Author: Martin Krivoš Department: Department of Geophysics Supervisor: prof. RNDr. Ondřej Čadek, CSc., Department of Geophysics Abstract: We studied the flow induced by water jets in the subsurface oceans on the Solar system moons - Europa and Enceladus. In water plumes of Enceladus Cassini spacecraft detected small silica particles with radii ≈ 6 − 9 nm. As shown by experiments, these particles grow in size with time spent in the ocean. The small size of particles suggests that the material transport from the the jets on the oceanic floor to the source of the plume at the moon's surface is highly efficient. In the thesis we investigate the characteristic transport time by solving the Navier-Stokes equation for incompressible fluid. For this purpose we have developed a Fortran program in two-dimensional Cartesian geometry based on the finite-difference staggered-grid method. Another program, using the second order Runge-Kutta method, was written to reconstruct the trajectories of the particles in the ocean. Using these tools we estimated the effectiveness of material transport under different conditions, namely presence of global lateral flow, width of the water jet, the Reynolds number and the number of jets. Keywords: Navier-Stokes equation,...
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Analysis of the fluid mixing in the circulation reactor
Mačák, Martin ; Vyroubal, Petr (referee) ; Maxa, Jiří (advisor)
This work deals with an analysis of the fluid mixing in pilot plant loop reactor. Multiphase flow was simulated with calculation of velocity of flow and volume fraction of individual immiscible phases in hydrogenation reactor for aniline production. Parameters of flow were reviewed in individual parts of the device. Separate attention was paid to heat transfer through wall of the device with usage of external cooling. Designed model is applicable for optimalization and design of bubble loop reactors.
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Navier-Stokesova equation - solution of the real liquid
Krausová, Hana ; Čermák, Libor (referee) ; Fialová, Simona (advisor)
This thesis deals with the Navier-Stokes equations for real, compressible fluid with first and second viscosity. The method of expansion into a series of eigenmodes of vibration is chosen to solve the Navier-Stokes equations. The general relations of the expansion coefficients and the eigenmode shapes are given for 1D-, 2D- and 3D-flows. The specific formulae of eigenmodes of vibration are determined only for 1D-flow. The final form of the pressure function is analysed using Matlab software.
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Numerical simulation of incompressible fluid flow by the spectral element method
Pokorný, Jan ; Hlavička, Rudolf (referee) ; Čermák, Libor (advisor)
Tato diplomová práce prezentuje metodu spektrálních prvků. Tato metoda je použita k řešení stacionárního 2-D laminárního proudění Newtonovské nestlačitelné tekutiny. Proudění je popsáno stacionarní Navier-Stokesovou rovnicí. Dohromady s okrajovou pod- mínkou tvoří Navier-Stokesův problém. Na slabou formulaci této úlohy je aplikována metoda spektrálních prvků. Touto discretizací se získá soustava nelineárních rovnic. K obrdžení lineární soustavy je použita Newtonova iterační metoda. Podorobný algorit- mus tvoří jádro Navier-Stokeseva solveru, který je naprogramován v Matlabu. Na závěr jsou pomocí tohoto solveru řešeny dva příklady: proudění v kavitě a obtékání válce. Přík- lady jsou řešeny pro různé Reynoldsovy čísla. První od 1 do 1000 a druhý od 1 do 100.
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Numerické simulace interakce proudu s leteckým profilem se třemi stupni volnosti
Růžička, M. ; Feistauer, M. ; Horáček, Jaromír ; Sváček, Petr
The subject of the paper is the numerical simulation of the interaction of two-dimensional incompressible viscous fluid and a vibrating airfoil with large deviations. The airfoil is considered as a solid body with three degrees of freedom. The airfoil performs rotation around an elastic axis, oscillations in the vertical direction and rotation of a flap. The nemerical simulation is based on the the finite element solution of the Navier-Stokes equations and the system of nonlinear ordinary differential equations deseribing the airfoil motion. The interaction and feedback phenomenon is numerically treated by a coupling procedure, which connects the structural problem and flow problem together. The timedependent computational domain and a moving mesh are taken into account with the aid of the Arbitrary Lagrangian-Eulerian (ALE) formulation. High Reynolds numbers up to 10 require the application of a suitable stabilizatin of the finite element discretization.
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